54.3k views
5 votes
Abigail gathered data on different schools' winning percentages and the average yearly salary of their head coaches (in millions of dollars) in the years 200020002000-201120112011. She then created the following scatterplot and regression line. The fitted line has a slope of 8.428.428, point, 42. What is the best interpretation of this slope? Choose 1 answer: Choose 1 answer: (Choice A) A A school whose head coach had a salary of \$0$0dollar sign, 0 would have winning percentage of 8.42\%8.42%8, point, 42, percent. (Choice B) B A school whose head coach had a salary of \$0$0dollar sign, 0 would have winning percentage of about 40\%40%40, percent. (Choice C) C On average, each 111 million dollar increase in salary was associated with an 8.428.428, point, 42 point increase in winning percentage. (Choice D) D On average, each 111 point increase in winning percentage was associated with an 8.428.428, point, 42 million dollar increase in salary. A graph plots Winning percentage, from 0 to 100, in increments of 5, versus Salary, in millions of dollars, from 0 to 5, in increments of 0.5. Dozens of points rise diagonally in a loose, wide cluster between (0.3, 22) and (4.1, 83). The cluster is most heavily concentrated leftward of x = 2.5. A regression line rises diagonally through the center of the cluster from (0, 38) to (5.5, 85). All values estimated.

2 Answers

3 votes

Answer:

On average, each 1 million dollar increase in salary was associated with an 8.42 point increase in winning percentage. (C)

Explanation:

Hope this helps!

User Dinosaur
by
5.0k points
2 votes

Answer:

C. On average, each 1 million dollar increase in salary was associated with an 8.42 point increase in winning percentage

Explanation:

Apparently, winning percentage is plotted on the vertical axis, so the slope represents the ratio of winning percentage to salary in millions.

Then an increase in salary by 1 million is expected to be associated with an increase of 8.42 points in winning percentage.

User Qloveshmily
by
5.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.