Chapter 12, Problem T12.4SPT

To determine

To find out by about how much does the sample slope typically vary from the population slope in repeated random sample of $n=69$ golfers.

Answer to Problem T12.4SPT

Option (b) is the correct option.

Explanation of Solution

It is given that the good putting is more important than long driving for shooting low scores and hence winning money. To see if this is the case, then the random sample of players are selected for examining. They have assumed that the inference conditions about the slope are met and the data is calculated by the computer output is given in the question. Thus, the standard error of the slope is given in the row “Avg. putts” and in the column “SE Coef” of the given computer output as:

  $S{E}_{b_1}=1698371$

Thus, the standard error of the slope represents the average deviation of the slope of the sample regression line from the slope of the population regression line. Thus, we have the slope of the sample regression line varies on average by $1698371$ from the slope of the true population regression line. Therefore, option (b) is the correct option.