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Chapter 14: Q 2 (page 587)

2. Suppose that xand yare two variables of a population and that the assumptions for regression inferences are met with xas the predictor variable and yas the response variable.

a. What statistic is used to estimate the slope of the population regression line?

b. What statistic is used to estimate the y-intercept of the population regression line?

c. What statistic is used to estimate the common conditional standard deviation of the response variable corresponding to fixed values of the predictor variable?

Short Answer

Expert verified

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Step by step solution

01

Step 1:Given information

Suppose that xand yare two variables of a population and that the assumptions for regression inferences are met with xas the predictor variable and as the response variable.

02

Step 2:Explaination Part (a)

a)

The statistic is used to estimate the slope of the population regression line isb

03

Explaination Part (b)

b)

The statistic is used to estimate the x-intercept of the population regression line is b0

04

Step 4:Explaination Part (c)

C)

The statistic is used to estimate the common conditional standard deviation of the response variable is se.

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