Biostatistics exam 2 study guide

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Quiz am Biostatistics exam 2 study guide, erstellt von Tyler Peterson am 12/04/2017.
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2

Zusammenfassung der Ressource

Frage 1

Frage
Which of the following is an example of a nonparametric test?
Antworten
  • a z test
  • a paired t-test
  • chi-square test
  • confidence interval estimation

Frage 2

Frage
Which of the following is a statistical procedure used to test hypotheses about the discrepancy between the observed and expected frequencies in two or more nominal categories
Antworten
  • related samples sign test
  • paired t-test
  • chi-square test
  • all of the above

Frage 3

Frage
A genetics researcher expects 1:1:1:1 across four groups to align with Mendelian ratios.. If 200 people are tested, then what is the expected frequency for each group?
Antworten
  • 25 people
  • 50 people
  • 100 people
  • 200 people

Frage 4

Frage
A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected. Hence, the decision was to
Antworten
  • reject the null hypothesis
  • retain the null hypothesis
  • no decision was made
  • accept the null hypothesis

Frage 5

Frage
The degrees of freedom for a chi-square goodness-of-fit test are [k=# categories, n=sample size]
Antworten
  • k-1
  • n-1
  • (k1 - 1)(k2 - 1)
  • (k - 1)(n - 1)

Frage 6

Frage
As a general rule, the larger the degrees of freedom for a chi-square test
Antworten
  • the smaller the critical value will be
  • the larger the critical value will be
  • the smaller the level of significance will be
  • the larger the level of significance will be

Frage 7

Frage
A researcher conducts a chi-square goodness-of-fit test in which k = 5 (k=# categories). What is the critical value for this test at a .05 level of significance?
Antworten
  • 4
  • 5
  • 9.49
  • 11.07

Frage 8

Frage
A researcher conducts a chi-square goodness-of-fit test in which k = 3 and x (?) = 4.32. What is the decision for this test at a .05 level of significance?
Antworten
  • Retain the null hypothesis
  • Reject the null hypothesis
  • There is not enough information to answer this question.

Frage 9

Frage
A chi-square goodness-of-fit test leads to a decision to retain the null hypothesis. Which of the following correctly explains this decision?
Antworten
  • frequencies observed were significantly different from frequencies expected at each level of the categorical variable
  • frequencies observed were significantly different from frequencies expected across the levels of the categorical variable
  • frequencies observed were significantly different from frequencies expected within and between expected frequencies
  • Frequencies observed were statistically similar to the frequencies expected at each level of the categorical variable

Frage 10

Frage
When computing a chi-square goodness-of-fit test for a 2 x 2 table, the frequency expected in a given cell should never be less than
Antworten
  • the sample size
  • the number of cells
  • the frequency observed
  • five

Frage 11

Frage
The degrees of freedom for a chi-square test for independence test are [k are categories, n are sample size]
Antworten
  • k - 1
  • n - 1
  • (k1 - 1)(k2 - 1)
  • (k - 1)(n - 1)

Frage 12

Frage
A researcher tests whether levels of education and income levels are related. In this study, he observes the following frequencies. If he computes a chi-square test for independence at a .05 level of significance, then what is the decision for this test? Education Level High School Bachelor's Degree Graduate Degree Low Income 22 8 5 High Income 8 12 28
Antworten
  • Education and income level are related
  • Education and income level are not related
  • Education and income level are independent
  • Both B and C are appropriate

Frage 13

Frage
To compute the expected frequencies for a chi-square test for independence, we use which of the following formulas?
Antworten
  • k - 1
  • p(n)
  • (row total + column total)/grand total
  • (row total * column total)/grand total

Frage 14

Frage
If the expected frequencies equal to observed frequencies for a chi-square test for independence, what do we conclude?
Antworten
  • the degrees of freedom for the test are equal to 0
  • the test statistic value is equal to 0
  • the frequencies observed fit well with the frequencies expected
  • both B and C

Frage 15

Frage
A researcher conducts two chi-square tests. The 2 2 chi-square was 2 = 3.82. The 2 3 chi-square was 2 = 5.02. Which chi-square test resulted in a decision to reject the null hypothesis at a .05 level of significance?
Antworten
  • A) the 2 2 chi-square
  • B) the 2 3 chi-square
  • C) both chi-square tests results in a decision to reject the null hypothesis
  • D) none; both chi-square tests result in a decision to retain the null hypothesis

Frage 16

Frage
When assumptions regarding expected cell counts are not met, an alternative test to the chi-square test is:
Antworten
  • McNemar’s test.
  • The Goodness of Fit test.
  • The Sign test.
  • Fisher’s Exact test.

Frage 17

Frage
17. The chi-square test assumes independence between observations. When the design is matched and we wish to compare two dichotomous variables, which test is appropriate?
Antworten
  • A) McNemar’s test.
  • B) The Goodness of Fit test.
  • C) The Related Sample Sign test.
  • D) Fisher’s Exact test.

Frage 18

Frage
18. For an analysis of variance, the term “one-way” refers to
Antworten
  • A) the number of factors in the design
  • B) the number of statistical tests in the design
  • C) the number of ways that the data can be analyzed
  • D) the direction that traffic should follow on a road

Frage 19

Frage
19. The term “between-subjects” refers to
Antworten
  • A) observing the same participants in each group
  • B) observing different participants one time in each group
  • C) the type of post hoc test conducted
  • D) the type of effect size estimate measured

Frage 20

Frage
20. A lowercase k is used to denote
Antworten
  • A) the number of groups in a study
  • B) the number of participants in a study
  • C) the number of levels of the factor in a study
  • D) both A and C

Frage 21

Frage
21. The source of variability associated with error variance in the one-way between-subjects ANOVA is called
Antworten
  • A) between-groups variability
  • B) within-groups variability
  • C) degrees of freedom
  • D) both A and B

Frage 22

Frage
22. Without changing the value of error variance, the ________ the between-groups variability, the more likely we are to reject the null hypothesis.
Antworten
  • A) larger
  • B) smaller
  • C) more homogeneous
  • D) less spread

Frage 23

Frage
23. What is the minimum number of groups that can be observed using the one-way between-subjects ANOVA design?
Antworten
  • 1
  • 2
  • 3
  • 4

Frage 24

Frage
24. A researcher notes that the variability attributed to difference between group means is quite large. Which source of variation is the researcher referring to?
Antworten
  • A) between-persons
  • B) within-groups
  • C) between-groups
  • D) error

Frage 25

Frage
25. ANOVA stands for,
Antworten
  • A) analysis of variety
  • B) analysis of variable attributes
  • C) analysis of variance
  • D) association of novel operating variable analyses

Frage 26

Frage
26. The degrees of freedom for the between-groups variability is called
Antworten
  • A) degrees of freedom numerator
  • B) degrees of freedom denominator
  • C) degrees of freedom between-groups
  • D) both A and C

Frage 27

Frage
27. The degrees of freedom for error is called
Antworten
  • A) degrees of freedom error
  • B) degrees of freedom denominator
  • C) degrees of freedom within-groups
  • D) all of the above

Frage 28

Frage
28. A researcher compares differences in creatinine between participants in a three treatment groups. If she observes 15 participants in each group, then what are the degrees of freedom for the one-way between-subjects ANOVA?
Antworten
  • A) (2, 12)
  • B) (3, 43)
  • C) (2, 42)
  • D) (3, 12)

Frage 29

Frage
29. A researcher conducts a study in which k = 5 and N = 80. What are the degrees of freedom between-groups for the one-way between-subjects ANOVA?
Antworten
  • A) 4
  • B) 5
  • C) 75
  • D) 395

Frage 30

Frage
30. A researcher assigned participants (n = 8 per group) to three dose groups. Different participants were assigned to each group and then assessed for a specific biomarker. What is the critical value for the one-way between-subjects ANOVA at a .05 level of significance?
Antworten
  • A) 3.07
  • B) 3.44
  • C) 3.47
  • D) 4.32

Frage 31

Frage
31. Which of the following is an assumption for computing a one-way between-subjects ANOVA?
Antworten
  • A) The population being sampled from is normally distributed.
  • B) Participants were selected to participate using a random procedure.
  • C) One observation has no effect on the likelihood of another observation.
  • D) all of the above

Frage 32

Frage
32. Computing a one-way between-subjects ANOVA is appropriate when
Antworten
  • A) different participants are observed one time in each of two or more groups for one factor
  • B) the same participants are observed in each of two or more groups for one factor
  • C) the levels of one or more factors are manipulated
  • D) all of the above

Frage 33

Frage
33. A researcher divides participants into groups that will engage in low, moderate, or intense levels of exercise. The total calories consumed by participants following the exercise are then recorded. What type of statistical design is appropriate for this study?
Antworten
  • A) a related samples t test
  • B) a two-independent sample t test
  • C) a one-way between-subjects ANOVA
  • D) both B and C

Frage 34

Frage
34. Homogeneity of variance is an assumption for the one-way between-subjects ANOVA. What does this assumption mean?
Antworten
  • A) that the population being sampled from is normally distributed
  • B) that participants are randomly selected to participate in a sample
  • C) that the variance is equal in each population from which samples are selected
  • D) that one observation has no effect on the likelihood of another observation

Frage 35

Frage
35. A researcher randomly assigned 16 rodents to experience one of four levels of shock (n = 4 per group) following the illumination of a visual cue. If SSB = 24 and SSW = 48, then what was the decision at a .05 level of significance for a one-way between-subjects ANOVA?
Antworten
  • A) Reject the null hypothesis.
  • B) Retain the null hypothesis.
  • C) There is not enough information to answer this question.
  • D) Do not reject the null hypothesis.

Frage 36

Frage
36. A researcher assigns 21 subjects to 3 treatment groups. An equal number of participants are assigned to each group. If F = 4.08 for this study, then what was the decision at a .05 level of significance for a one-way between-subjects ANOVA?
Antworten
  • A) Reject the null hypothesis.
  • B) Retain the null hypothesis.
  • C) There is not enough information to answer this question.
  • D) Do not reject the null hypothesis

Frage 37

Frage
37. A researcher conducts two studies on self-perception. In Study 1, 24 participants rate how positively they view themselves (on a 5-point scale) in one of three groups (n = 8 per group). In Study 2, the researcher conducts a similar study, except that k = 3 and n = 8. If SSB = 28 and SSE = 42 in both studies, then in which study will the decision be to reject the null hypothesis at a .05 level of significance for a one-way between-subjects ANOVA?
Antworten
  • A) Study 1
  • B) Study 2
  • C) both
  • D) none

Frage 38

Frage
38. A researcher computes the following one-way between-subjects ANOVA table. State the decision at a .05 level of significance. (Hint: Complete the table first.) Source of Variation SS df MS F Between groups 32 4 Within groups (error) 45 Total 122
Antworten
  • A) Reject the null hypothesis.
  • B) Retain the null hypothesis.
  • C) Accept the null hypothesis.
  • D) There is not enough information to answer this question.

Frage 39

Frage
39. A researcher computes the following one-way between-subjects ANOVA table for a study where k = 3 and n = 12. State the decision at a .05 level of significance. (Hint: Complete the table first.) Source of Variation SS df MS F Between groups 120 Within groups (error) Total 780
Antworten
  • A) Reject the null hypothesis.
  • B) Retain the null hypothesis.
  • C) Accept the null hypothesis.
  • D) There is not enough information to answer this question.

Frage 40

Frage
40. In a study with four groups and 10 participants in each group, the sum of squares for the between-groups source of variation is 60. What is the value for the mean square between-groups in this study?
Antworten
  • A) 10
  • B) 15
  • C) 20
  • D) 1.67

Frage 41

Frage
41. When the variability attributed to between-groups is equal to the variability attributed to error, then the value of the test statistic for a one-way between-subjects ANOVA is,
Antworten
  • A) Equal to 0.
  • B) Equal to 1.
  • C) Significant at any sample size.
  • D) Undefined in that the test statistic cannot be computed in this case.

Frage 42

Frage
42. Following a significant one-way between-subjects ANOVA in which k > 2, what is the next appropriate step?
Antworten
  • A) Summarize the data; no further tests are required.
  • B) Interpret the data; no further tests are required.
  • C) Conduct post hoc tests.
  • D) both A and B

Frage 43

Frage
43. Which of the following is not a post hoc test for a one-way between-subjects ANOVA?
Antworten
  • A) F test for equal variance
  • B) Fisher's LSD test
  • C) Tukey's HSD test
  • D) Bonferroni test

Frage 44

Frage
44. Which of the following post hoc tests is associated with the greatest power to detect an effect?
Antworten
  • A) Schaffé test
  • B) Tukey's HSD test
  • C) Bonferroni test
  • D) Fisher's LSD test

Frage 45

Frage
45. Which of the following post hoc tests is associated with the least power to detect an effect?
Antworten
  • A) Fisher's LSD test
  • B) Tukey's HSD test
  • C) Studentized Newman-Keuls
  • D) None; each post hoc test is associated with the same power to detect an effect.

Frage 46

Frage
46. Post hoc tests are computed
Antworten
  • A) Prior to conducting a hypothesis test.
  • B) To determine which set of degrees of freedom can be attributed to the variability between-groups.
  • C) Following a significant ANOVA test to make pairwise comparisons.
  • D) to determine if groups means differ, even for tests in which the decision is to retain the null hypothesis.

Frage 47

Frage
47. The following is a summary of a one-way between-subjects ANOVA: F(2, 37) = 3.42, p < .05. How many pairwise comparisons need to be made for this ANOVA result?
Antworten
  • A) 2
  • B) 3
  • C) 4
  • D) 12

Frage 48

Frage
48. The following is a summary of a one-way between-subjects ANOVA: F(2, 37) = 3.42, p < .05. How many participants were observed in this study?
Antworten
  • A) 12
  • B) 37
  • C) 40
  • D) 39

Frage 49

Frage
49. The Kruskal-Wallis test is the nonparametric analog to the
Antworten
  • A) one sample z test for a single population mean.
  • B) two independent samples t test.
  • C) one-way ANOVA F test.
  • D) paired t test.

Frage 50

Frage
50. The Kruskal-Wallis test can be used to:
Antworten
  • A) compare a ranked outcome by race group (W, AA, Other).
  • B) compare a skewed continuous variable by a categorical variable with four levels.
  • C) compare an interval/ratio variable across more than two groups
  • D) All of the above

Frage 51

Frage
51. The Kruskal-Wallis test relies on:
Antworten
  • A) ranked data
  • B) raw data
  • C) mean values
  • D) all of the above

Frage 52

Frage
52. The null hypothesis for the Kruskal-Wallis test is
Antworten
  • A) the difference in ranks for the groups do not differ
  • B) the median values for the groups do not differ
  • C) the sum of the ranks in each group do not differ
  • D) the sum of the ranks in each group do differ

Frage 53

Frage
53. The test statistic used for the Kruskal-Wallis test follows which distribution?
Antworten
  • A) the chi-square distribution with (k-1) degrees of freedom
  • B) the t distribution with (k-1) degrees of freedom
  • C) the F distribution with (1, k-1) degrees of freedom
  • D) the standard normal distribution

Frage 54

Frage
54. A post-hoc test that can be used following a significant Kruskal-Wallis test is:
Antworten
  • A) Tukey’s LSD test
  • B) Bono U2 test
  • C) Dunns Q test
  • D) Duncin’s HSD test

Frage 55

Frage
55. The correlation coefficient is used to measure the ________ and ________ of the linear relationship between two factors.
Antworten
  • A) date; time
  • B) mean; variance
  • C) significance; effect size
  • D) strength; direction

Frage 56

Frage
56. The correlation coefficient ranges from -1.0 to +1.0, with values closer to ±1.0 indicating
Antworten
  • A) a more positive relationship between two factors
  • B) a stronger relationship between two factors
  • C) that two factors are less likely to be related
  • D) that the correlation is due to outliers

Frage 57

Frage
57. Which of the following indicates the strongest correlation?
Antworten
  • A) r = -0.57
  • B) r = +0.78
  • C) r = -0.90
  • D) r = +0.88

Frage 58

Frage
58. The following graphs display the data points for two linear correlations. Based on the information provided in these graphs, ________ displays a negative correlation and ________ displays a stronger correlation.
Antworten
  • A) Graph A; Graph B
  • B) Graph B; Graph A
  • C) Graph A; Graph A
  • D) Graph B; Graph B

Frage 59

Frage
59. The numerator of the correlation coefficient measures the extent to which two variables
Antworten
  • A) vary together
  • B) vary independently
  • C) covary
  • D) both A and C

Frage 60

Frage
60. A researcher measures the following correlation between cups of coffee consumed daily and daily work schedule. Which description best explains the relationship between these two factors?
Antworten
  • A) The more a person works, the more coffee he or she tends to drink.
  • B) The less a person works, the more coffee he or she tends to drink.
  • C) The more a person works, the less coffee he or she tends to drink.
  • D) No linear pattern is evident.

Frage 61

Frage
61. The denominator of the correlation coefficient measures the extent to which two variables
Antworten
  • A) vary together
  • B) vary independently
  • C) covary
  • D) both A and C

Frage 62

Frage
62. The correlation coefficient measures the extent to which changes in one factor are _______ in a second factor.
Antworten
  • A) related to changes
  • B) causing changes
  • C) causing variability
  • D) all of the above

Frage 63

Frage
63. A researcher measures the relationship between narcissism and willingness to help. If SSXY = 240, SSX = 320, and SSY = 410, then what is the value of the correlation coefficient?
Antworten
  • A) 0.002
  • B) 0.02
  • C) 0.66
  • D) 0.69

Frage 64

Frage
64. A researcher measures the relationship between two variables, X and Y. If SSXY = 340 and SSXSSY = 320,000, then what is the value of the correlation coefficient?
Antworten
  • A) 0.32
  • B) 0.34
  • C) 0.60
  • D) almost a zero correlation

Frage 65

Frage
65. Suppose a correlation is computed in each of two samples. If the value of SSXY is the same in each sample, and √SSXSSY is larger in Sample 1, then in which sample will the value of the correlation coefficient be larger?
Antworten
  • A) Sample 1
  • B) Sample 2
  • C) None; the correlation coefficient will be the same in both samples.
  • D) There is not enough information to answer this question.

Frage 66

Frage
66. A researcher measures the following correlation: r = -0.21. What is the value of the coefficient of determination?
Antworten
  • A) 0.04
  • B) -0.04
  • C) 0.42
  • D) -0.42

Frage 67

Frage
67. The assumption that there is an equal variance or scatter of data points dispersed along the regression line is referred to as
Antworten
  • A) normality
  • B) linearity
  • C) homoscedasticity
  • D) restriction of range

Frage 68

Frage
68. What is the problem with the following data for computing a correlation? Factor 1 Factor 2 3 3 3 3 3 3 3 3 3 3
Antworten
  • A) The correlation coefficient will equal 0 because it violates the assumption of normality.
  • B) The correlation coefficient will equal 1.0 because it violates the assumption of normality.
  • C) The correlation coefficient will equal 0 because it violates the assumption of linearity.
  • D) The correlation coefficient will equal 1.0 because it violates the assumption of linearity

Frage 69

Frage
69. The normality assumption states that the population of X and Y scores form a bivariate (“two variable”) normal distribution, such that
Antworten
  • A) the population of X and Y scores are normally distributed
  • B) for each X score, the distribution of Y scores is normally distributed
  • C) for each Y score, the distribution of X scores is normally distributed
  • D) all of the above

Frage 70

Frage
70. Which of the following is the assumption that the best way to describe the pattern of data is using a straight line?
Antworten
  • A) normality
  • B) linearity
  • C) homoscedasticity
  • D) restriction of range

Frage 71

Frage
71. Which of the following is a limitation for interpreting a correlation?
Antworten
  • A) Correlations do not demonstrate cause-and-effect.
  • B) Outliers can change the direction and/or strength of the correlation.
  • C) Conclusions should not be drawn beyond the range of scores measured.
  • D) all of the above

Frage 72

Frage
72. An unanticipated variable not accounted for in a research study that could be causing or associated with observed changes in one or more measured variables is called
Antworten
  • A) reverse causality
  • B) restriction of range
  • C) a confound variable
  • D) homoscedasticity

Frage 73

Frage
73. A researcher observes a correlation of values from 2 to 10 points and draws conclusions about the full range of values in the population from 0 to 21 points. Which limitation for correctly interpreting a correlation coefficient did the researcher violate?
Antworten
  • A) reverse causality
  • B) restriction of range
  • C) a confound variable
  • D) homoscedasticity

Frage 74

Frage
74. Outliers can change the _____ of a correlation.
Antworten
  • A) direction
  • B) strength
  • C) sign (+, -)
  • D) all of the above

Frage 75

Frage
75 A correlation coefficient can ______ demonstrate cause.
Antworten
  • A) always
  • B) never
  • C) mostly
  • D) intermittently

Frage 76

Frage
76. The Spearman rank-order correlation coefficient is a measure of the direction and strength of the linear relationship between two ________ variables.
Antworten
  • A) nominal
  • B) ordinal
  • C) interval
  • D) ratio

Frage 77

Frage
77. The appropriate correlation coefficient for measuring the direction and strength of the linear relationship between two ranked or ordinal variables is
Antworten
  • A) the Spearman correlation coefficient
  • B) the point-biserial correlation coefficient
  • C) the phi correlation coefficient
  • D) none of the above

Frage 78

Frage
78. A researcher measures the correlation in rankings for a sample of restaurants and consumers' rankings of their favorite restaurants. If D2 = 96 and n = 12, then what is the value of the correlation coefficient?
Antworten
  • A) 0.07
  • B) 0.34
  • C) 0.66
  • D) 0.94

Frage 79

Frage
79. A researcher measures the correlation of the time it take participants to complete two tasks purported to measure the same cognitive skill. Participant times are converted to ranks from fastest to slowest. If D2 = 165 and n = 20, then what is the decision for this correlation test?
Antworten
  • A) Retain the null hypothesis.
  • B) Reject the null hypothesis.
  • C) There is not enough information to answer this question.

Frage 80

Frage
80. To summarize correlations, we report:
Antworten
  • A) the strength of the correlation
  • B) the direction of the correlation
  • C) the p value
  • D) all of the above

Frage 81

Frage
81. Which of the following would not be reported for a correlation?
Antworten
  • A) the sample size
  • B) the coefficient of determination
  • C) the critical values for each test
  • D) the strength and direction of the correlation

Frage 82

Frage
82. Select the description below that identifies the following correlation: r = .28, p < .01.
Antworten
  • A) the correlation is positive
  • B) the correlation is statistically significant
  • C) the coefficient of determination is .08
  • D) all of the above

Frage 83

Frage
83. A researcher measures the extent to which time spent watching educational preschool television programming predicts success in school. Which variable is the outcome variable in this example?
Antworten
  • A) educational preschool television
  • B) type of television programming
  • C) success in school
  • D) time spent in school

Frage 84

Frage
84. A researcher measures the extent to which the speed at which people eat (in minutes) predicts calorie intake (in kilocalories). Which factor is the predictor variable in this example?
Antworten
  • A) the speed at which people eat
  • B) calorie intake
  • C) minutes and kilocalories
  • D) all of the above

Frage 85

Frage
86. Which of the following is used to determine the linear equation that “best fits” a set of data points?
Antworten
  • A) correlational analysis
  • B) analysis of variance
  • C) analysis of regression
  • D) method of least squares

Frage 86

Frage
85. Linear regression describes the extent to which _______ predicts ________.
Antworten
  • A) X; Y
  • B) the predictor variable; the outcome variable
  • C) the known variable; the to-be-predicted variable
  • D) all of the above

Frage 87

Frage
87. Which of the following is used to determine the significance of predictions made by a best fitting linear equation?
Antworten
  • A) correlational analysis
  • B) analysis of variance
  • C) analysis of regression
  • D) method of least squares

Frage 88

Frage
88. A researcher reports the following equation for a best-fitting straight line to a set of data points: Y = -1.01X + 3.24. Which value is the y-intercept?
Antworten
  • A) Y
  • B) X
  • C) ñ1.01
  • D) 3.24

Frage 89

Frage
89. A researcher reports the following equation for a best-fitting straight line to a set of data points: Y = 0.48X + 12.03. Which value is the slope?
Antworten
  • A) Y
  • B) 0.48
  • C) 12.03
  • D) The slope is not given in this equation

Frage 90

Frage
90. If SSXY = -16.32 and SSX = 40.00 for a set of data points, then what is the value of the slope for the best-fitting linear equation?
Antworten
  • A) -0.41
  • B) -2.45
  • C) positive
  • D) There is not enough information; you would also need to know the value of SSY.

Frage 91

Frage
91. If b = -0.57, My = 2.75, and Mx = 5.25 for a set of data points, then what is the value of the y-intercept for the best-fitting linear equation?
Antworten
  • A) 0.24
  • B) 11.68
  • C) -0.24
  • D) 5.74

Frage 92

Frage
92. Which of the following is not needed to compute the y-intercept using the method of least squares?
Antworten
  • A) My
  • B) Mx
  • C) Mxy
  • D) the slope

Frage 93

Frage
93. Which of the following is not needed to compute the slope using the method of least squares?
Antworten
  • A) SSY
  • B) SSX
  • C) SSXY

Frage 94

Frage
94. A researcher reports the following regression equation for two variables, X and Y: Y = 5.10X - 1.50. If X = 2.30, then what is the value of Y-hat?
Antworten
  • A) 10.23
  • B) 11.73
  • C) 13.23

Frage 95

Frage
95. Using an analysis of regression, the variability in Y that is predicted by X is measured by the
Antworten
  • A) regression variation
  • B) residual variation
  • C) correlation coefficient
  • D) coefficient of determination

Frage 96

Frage
96. Using an analysis of regression, the variability in Y that is associated with error is measured by the
Antworten
  • A) regression variation
  • B) residual variation
  • C) correlation coefficient
  • D) coefficient of determination

Frage 97

Frage
97. Both sources of variation in an analysis of regression measure the variability in
Antworten
  • A) X and Y
  • B) X only
  • C) Y only

Frage 98

Frage
98. The more that the variability in ____ is associated with regression variation, the more likely it is that X predicts Y.
Antworten
  • A) XY
  • B) X
  • C) Y
  • D) all of the above

Frage 99

Frage
99. Which of the following statements is true regarding the sources of variation present in an analysis of regression?
Antworten
  • A) Regression variation measures variability in X, whereas residual variation measures variability in Y.
  • B) The closer that data points fall to the regression line, the more the variance in Y will be attributed to regression variation.
  • C) There are three sources of variation in an analysis of regression: regression variance, residual variance, and error variance.
  • D) When most of the variability in Y is associated with residual variation, then X predicts Y.

Frage 100

Frage
100. The degrees of freedom associated with regression variation are equal to
Antworten
  • A) the number of predictor variables
  • B) the number of predictor variables minus one
  • C) n -1
  • D) n - 2

Frage 101

Frage
101. The degrees of freedom associated with residual variation are equal to
Antworten
  • A) the number of predictor variables
  • B) the number of predictor variables minus one
  • C) n - 1
  • D) n - 2

Frage 102

Frage
102. If the coefficient of determination is 0.32 and SSY = 150, then what is the sum of squares residual for an analysis of regression?
Antworten
  • A) 48
  • B) 102
  • C) 150
  • D) There is not enough information to answer this question.

Frage 103

Frage
103. If the coefficient of determination is 0.30 and the sum of squares regression for an analysis of regression is 210, then what is the value of SSY?
Antworten
  • A) 210
  • B) 300
  • C) 490
  • D) 700

Frage 104

Frage
104. In a sample of 22 participants, suppose we conduct an analysis of regression with one predictor variable. If F = 4.07, then what is the decision for this test at a .05 level of significance?
Antworten
  • A) X significantly predicts Y.
  • B) X does not significantly predict Y.
  • C) There is not enough information to answer this question.

Frage 105

Frage
105. A researcher computes the following analysis of regression table. Based on the data given, what is the decision for this test at a .05 level of significance? (Note: Complete the table first.) Source of Variation SS df MS F Regression 1 28 Residual Total 118 19
Antworten
  • A) X significantly predicts Y.
  • B) X does not significantly predict Y.
  • C) There is not enough information to answer this question.

Frage 106

Frage
106. An estimate of the standard deviation or distance that data points fall from the regression line is measured by the
Antworten
  • A) sum of squares
  • B) standard error of estimate
  • C) criterion variable
  • D) predictor variable

Frage 107

Frage
107. The standard error of estimate is used as a measure of the ________ in predictions using the equation of a regression line.
Antworten
  • A) linearity
  • B) appropriateness
  • C) accuracy
  • D) certainty

Frage 108

Frage
108. What is the computation for the standard error of estimate?
Antworten
  • A) the square root of the mean square regression
  • B) the square root of the mean square residual
  • C) the mean square regression, squared
  • D) the mean square residual, squared

Frage 109

Frage
109. A researcher computes a perfect negative correlation, in which each data point falls exactly on the regression line. In this example, the value of the standard error of estimate will be
Antworten
  • A) less than 0
  • B) greater than 0
  • C) equal to 0
  • D) There is not enough information to answer this question

Frage 110

Frage
110. A researcher computes an analysis of regression in which MSE = 0.82. What is the value of se in this example?
Antworten
  • A) 0.67
  • B) 0.82
  • C) 0.91
  • D) There is not enough information to answer this question.

Frage 111

Frage
111. A researcher computes the following analysis of regression table. Based on the data given, what is the value of the standard error of estimate? (Note: Complete the table first.) Source of Variation SS Df MS F Regression 28 1 5.60 Residual Total 118 19
Antworten
  • A) 2.24
  • B) 5.00
  • C) 5.74
  • D) 8.49

Frage 112

Frage
112. Multiple regression is a statistical method that includes ____ predictor variable(s) in the equation of the regression line.
Antworten
  • A) zero
  • B) one
  • C) two
  • D) two or more

Frage 113

Frage
113. A statistical method that includes two or more predictor variables in the equation of a regression line to predict changes in a criterion variable is called
Antworten
  • A) analysis of variance
  • B) standard error of estimate
  • C) residual regression
  • D) multiple regression

Frage 114

Frage
114. One key advantage for including multiple predictor variables in the equation of a regression line is that it allows you to
Antworten
  • A) detect mean differences between groups for each criterion variable
  • B) detect the extent to which two or more predictor variables interact
  • C) show cause-and-effect because many predictor variables are added
  • D) all of the above

Frage 115

Frage
115. Which of the following equations is appropriate for a linear regression with three predictor variables?
Antworten
  • Y' = bX + a
  • Y' = b1X1 + b2X2 + a
  • Y' = b1X1 + b2X2 + b3X3 + a
  • Y' = b1X1 + b2X2 + b3X3 + b4X4 + a

Frage 116

Frage
116. For a multiple regression analysis with 2 and 12 degrees of freedom, MS regression is 135 and MS residual is 15. What is the decision for this test?
Antworten
  • A) reject the null hypothesis; the predictive variability of two predictor factors are significant
  • B) retain the null hypothesis; the predictive variability of two predictor factors are not significant
  • C) reject the null hypothesis; the predictive variability of one predictor factor is significant
  • D) retain the null hypothesis; the predictive variability of one predictor factor is significant

Frage 117

Frage
117. The value of b1 and b2 are referred to as,
Antworten
  • A) unstandardized beta coefficients
  • B) standardized beta coefficients
  • C) regression variation
  • D) residual variation

Frage 118

Frage
118. To standardize the beta coefficients, we first,
Antworten
  • A) analyze the significance of each data point
  • B) analyze the residual variation
  • C) convert the original data to standardized z scores
  • D) compute the standard error of estimate

Frage 119

Frage
119. The equation for the standardized regression equation is,

Frage 120

Frage
120. In addition to evaluating the significance of a multiple regression equation, we also should consider:
Antworten
  • A) the significance of the residual variability
  • B) the complexity of the correlation coefficient
  • C) the relative contribution of each factor
  • D) the significance of each individual data point

Frage 121

Frage
121. If F = 2.04 for the relative contribution of one factor, then what is this value when converted to a t statistic?
Antworten
  • A) 2.04
  • B) 1.43
  • C) 4.16
  • D) The conversion is not possible

Frage 122

Frage
122. To summarize any type of regression analysis, we report each of the following except the,
Antworten
  • A) test statistic
  • B) degrees of freedom
  • C) p value
  • D) critical values

Frage 123

Frage
123. The scores or data points for a regression analysis are typically reported in,
Antworten
  • A) a scatter plot
  • B) a bar chart
  • C) a pie chart
  • D) all of the above
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