Questão 1
Questão
Select the right answer.
With the help of inferential statistics, we can :
Responda
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Making conclusions from a sample about the population
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Conclude if a sample selected is statistically significant to the whole population or not
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Compare two models to find which one is more statistically significant as compared to the other.
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We can do feature selection, whether adding or removing a variable helps in improving the model or not.
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Hypothesis testing.
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All
Questão 2
Questão
Standard Error is the amount of variation in the _________ data. It is related to Standard Deviation as σ/√n, where, n is the _________ size.
Questão 3
Questão
A Sampling Distribution is a probability distribution of a statistic (Mean/Median/Mode) obtained through a large number of samples drawn from a specific population.
Questão 4
Questão
A Sampling Distribution behaves much like a normal curve and has some interesting properties like :
Questão 5
Questão
Central Limit Theorem states that:
When plotting a sampling distribution of means, the mean of sample means will be equal to the population mean. And the sampling distribution will approach a normal distribution with variance equal to σ/√n where σ is the standard deviation of population and n is the sample size.
Questão 6
Questão
Greater the sample size, lower the standard error and greater the accuracy in determining the population mean from the sample mean?
Questão 7
Questão
No matter the shape of the population distribution, be it bi-modal, right-skewed, etc. The shape of the Sampling Distribution will remain the same (normal curve)?
Questão 8
Questão
For a sampling distribution:
The number of samples has to be sufficient (generally more than 50) to satisfactorily achieve a normal curve distribution. We also have to keep the sample size fixed since any change in sample size will change the shape of the sampling distribution and it will no longer be bell-shaped?
Questão 9
Questão
As we increase the sample size, the sampling distribution squeezes from both sides giving a better estimate of the population statistic since it lies somewhere in the middle of the sampling distribution (generally).
Questão 10
Questão
The confidence interval is a type of interval estimate from the ___________ distribution which gives a range of values in which the population statistic may lie.
Questão 11
Questão
The margin of error is a statistic expressing the amount of random sampling error in the results of a survey.
Questão 12
Questão
Margin of Error________ the width of Confidence Interval
Questão 13
Questão
Which of the following points are true for confidence intervals?
Responda
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Confidence Intervals can be built with different degrees of confidence suitable to a user’s needs like 70 %, 90% etc.
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Greater the sample size, smaller the Confidence Interval
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There are different confidence intervals for different sample means. For example, a sample mean of 40 will have a different confidence interval from a sample mean of 45.
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95% Confidence Interval, does not mean that the probability of a population mean to lie in an interval is 95%. Instead, 95% C.I means that 95% of the Interval estimates will contain the population statistic.
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All of the above.
Questão 14
Questão
Hypothesis testing lets us identify ________ statistic to be checked against a _________ statistic or statistic of another sample to study any intervention etc.
Responda
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Sample, Population
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Population, Sample
Questão 15
Questão
Null hypothesis is a type of hypothesis in which we assume that sample observations are not by chance. They are affected by some non-random situation. It is denoted by H1 or Ha.
Questão 16
Questão
Alternate Hypothesis is a type of hypothesis in which we assume that the sample observations are purely by chance. It is denoted by H0.
Questão 17
Questão
Hypothesis Testing is done on different levels of confidence and makes use of z-score to calculate the probability.
Questão 18
Questão
For a 95% Confidence Interval, anything above the z-threshold for 95% would reject the null hypothesis.
Questão 19
Questão
Write down the steps to hypothesis testing.
Questão 20
Questão
The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is ________.
Questão 21
Questão
p-value is the probability of obtaining results at least as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct.
Questão 22
Questão
Low enough p-value is ground for rejecting the null hypothesis. We reject the null hypothesis if the p-value is less than the significance level?
Questão 23
Questão
Type-1 error: Type 1 error is the case when we fail to reject the null hypothesis but actually it is false. The probability of having a type-1 error is called beta(β).
Questão 24
Questão
Type-2 error: Type 2 error is the case when we reject the null hypothesis but in actual it was true. The probability of having a Type-2 error is called significance level alpha(α).
Questão 25
Questão
For Type 1 and Type 2 error:
α= P (Null hypothesis rejected | Null hypothesis is true)
β= P (Null hypothesis accepted | Null hypothesis is false)
Questão 26
Questão
Power of test is defined as
P= 1- Type-2 error
= 1 – β
Lesser the type-2 error more the power of the hypothesis test.
Questão 27
Questão
For a Z - test:
1. A Z-test is mainly used when the data is normally distributed.
2. We find the Z-statistic of the sample means and calculate the z-score.
3. Z-test is mainly used when the population mean and standard deviation are given.
Questão 28
Questão
T-tests are similar to the z-scores, the only difference being that instead of the Population Standard Deviation, we use the Sample Standard Deviation?
Questão 29
Questão
Z-tests are statistical calculations that can be used to compare population means to a sample's.
T-tests are calculations used to test a hypothesis, but they are most useful when we need to determine if there is a statistically significant difference between two independent sample groups.
Questão 30
Questão
The Degree of Freedom is the number of __________that have the choice of having more than one arbitrary value.
Questão 31
Questão
Select the True statement
Responda
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1. Greater the difference between the sample mean and the population mean, greater the chance of rejecting the Null Hypothesis.
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2. Greater the sample size, greater the chance of rejection of Null Hypothesis.
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Both
Questão 32
Questão
One-sample t-test compares the mean of _________ data to a known value.
Questão 33
Questão
Which of the following points are true for One Sample T- test?
Responda
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Determine whether the mean of a group differs from the specified value.
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Calculate a range of values that are likely to include the population mean.
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We can run a one-sample T-test when we do not have the population S.D. or we have a sample of size less than 30.
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All of them.
Questão 34
Questão
We use a two-sample T-test when we want to evaluate whether the mean of the two independent samples is different or not.
Questão 35
Questão
Two-sample T-test is used to:
Questão 36
Questão
Points to be noted for two sample T-test are:
1. The groups to be tested should be __________
2. The groups’ distribution should not be highly _________.
Responda
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Independent, Skewed
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Dependent, Normal
Questão 37
Questão
A Independent Samples t-test compare the means for ______ different groups?
Samples are __________ of each other?
Responda
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Two, Independent
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Same, Dependent
Questão 38
Questão
A Paired sample t-test compares means from the ______ group at different times?
Samples are _________ on each other?
Responda
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Same, Dependent
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Two, Independent
Questão 39
Questão
ANOVA is used to determine whether there are any statistically significant differences between the means of ________ independent (unrelated) groups.
Questão 40
Questão
A one-way ANOVA has ______ independent variable, while a two-way ANOVA has ______.
Questão 41
Questão
Write down the steps to perform ANOVA.
Responda
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Write down the answers
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Check them later
Questão 42
Questão
Practical applications of ANOVA in modeling are:
Questão 43
Questão
The Chi-Square Test determines whether there is an association between _______ variables (i.e., whether the variables are independent or related).
Questão 44
Questão
Goodness of fit: It compares two categorical variables to find whether they are related with each other or not.
Questão 45
Questão
Test of Independence: It determines if sample data of categorical variables matches with population or not.
Questão 46
Questão
Regression analysis is a form of predictive modelling technique which investigates the relationship between a ___________ (target) and __________ variable (s) (predictor).
Responda
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Dependent, Independent
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Independent, Dependent
Questão 47
Questão
The regression sum of squares describes how well a regression model represents the modeled data.
A higher regression sum of squares indicates that the model does not fit the data well?
Questão 48
Questão
A residual sum of squares (RSS) is a statistical technique used to measure the amount of_________ in a data set that is not explained by a regression model.
Questão 49
Questão
Coefficient of Determination (R-Square): It represents the strength of correlation between two variables?
Questão 50
Questão
Correlation Coefficients are used to measure how strong a relationship is between two variables?