Chapter 3.2, Problem 78E

To determine

To explain: The effect of converting the units from centimetres to meters on the value of $r^2\text{and}s$

Answer to Problem 78E

  $r^2$ will remain same and s will decrease.

Explanation of Solution

Given:

The regression equation is:

  $\widehat{y}=6.4+0.93x$

The coefficient of determination shows the variation that is explained by the predictor variable on the response variable. The change in unit does not affect the relationship between the variables. Since, the relationship does not change. Thus, the coefficient of determination will also stay same.

The standard deviation is negatively related to the sample size. The division of 100 would decrease the s. Thus, standard deviation of the residual would fall.

Hence, the correct option is (e).