Chapter 3.2, Problem 36E

To determine

To find: the equation of regression line

Answer to Problem 36E

The equation of regression line will be $\widehat{Y}=50+X$

Explanation of Solution

Given:

Test score is 50

Increase by one for every additional IQ

Calculation:

We assume that IQ score $(X)$ will help explain reading score $(Y)$ . So, IQ score $(X)$ is the explanatory variable and reading score $(Y)$ is the response variable. We want to see reading score $(Y)$ changes when IQ score $(X)$ changes. So the equation of regression line will be

  $\widehat{Y}=50+X$

In this equation, $\widehat{Y}$ is the predicted value of the response variable $Y$ for a given value of the explanatory variable $X$ .

Therefore, equation of regression line will be $\widehat{Y}=50+X$