Question

2. Suppose that $x$and $y$are two variables of a population and that the assumptions for regression inferences are met with $x$as the predictor variable and $y$as 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

.

Step-by-step solution

Step 1:Given information

Suppose that $x$and $y$are two variables of a population and that the assumptions for regression inferences are met with $x$as the predictor variable and as the response variable.

Step 2:Explaination Part (a)

a)

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

Explaination Part (b)

b)

The statistic is used to estimate the $x$-intercept of the population regression line is $b_0$

Step 4:Explaination Part (c)

C)

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