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45712
Linear Regression
Description
Regression Mind Map on Linear Regression, created by Keith Walker on 14/04/2013.
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regression
regression
Mind Map by
Keith Walker
, updated more than 1 year ago
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Created by
Keith Walker
over 11 years ago
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Resource summary
Linear Regression
Assumptions
Linear relationship between x and y
Observations are independant
Residuals are Normally Distributed
residuals have same variability
x variable measured without error.
Examining b or the slope. ie Null that the true slope is zero. Reject if p<.05
ANOVA F-ratio (explained & unexplained mean squares)
b/SE(b) which follows t-distribution on n-2 dof
Y = a + bx
Y = dependant varible
a = intercept ( value of Y when x = 0)
b = slope ∑(x-x͞) (y-y͞) / ∑(x-x͞)²
explanatory variable
When we are interested in predicting y from a change in x; or predicting an explanatory variabel from a dependant one.
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