Chapter PII, Problem 38RE

(a)

To determine

To fit a straight line to the relationship of weight by year for Texas football players.

Answer to Problem 38RE

The line is .

Explanation of Solution

It is given in the question the table which shows the average weight of the football team for the University of Texas for various years. Thus, to fit a straight line to the relationship of weight by year for Texas football players we will use Excel as we will first select the data in Excel and then go to the insert tab from where we will select the scatterplot option in the charts and when the scatterplot is constructed we will go to the design tab under the chart tools, from where we will select the quick layout option and select the layout with the equation option then the linear model is constructed in the scatterplot as:

  

Thus, the equation of the regression line is:

  

(b)

To determine

To find out in what year will the predicted weight of the Williams college team from exercise $36$ first be more than the weight of the University of Texas team.

Answer to Problem 38RE

It will be in the year $2033$ .

Explanation of Solution

It is given in the question the table which shows the average weight of the football team for the University of Texas for various years. And the regression line is as:

  

Thus, we will predict weight of the Williams college team from exercise $36$ first be more than the weight of the University of Texas team will be the year $2033$ .

(c)

To determine

To explain do you believe this.

Answer to Problem 38RE

No, we do not believe.

Explanation of Solution

It is given in the question the table which shows the average weight of the football team for the University of Texas for various years. And the regression line is as:

  

Thus, we do not believe in this because both the predictions of weights require extrapolating.