The following scatterplot displays the number of points scored by Kobe Bryant in each game of the 20062007 National Basketball Association season, as well as the number of shots that he attempted in each game:
a. What are the observational units in this graph?
b. Use the following summary statistics to determine the equation of the least squares line for predicting points from shots.
Mean points: 31.56 SD points: 11.79
Mean shots: 22.82 SD shots: 7.41
Correlation between points and shots: .770
c. Write a sentence interpreting the slope coefficient.
d. What proportion of the variability in Bryant's points is explained by the least squares line with number of shots?
e. Suppose Bryant was to play one more game and take 50 shots. Which would have a greater impact on the least squares line that you calculated in part b: if he were to score 60 points in that game or if he were to score 2 points? Explain your answer.

Question

The following scatterplot displays the number of points scored by Kobe Bryant in each game of the 20062007 National Basketball Association season, as well as the number of shots that he attempted in each game:
  a. What are the observational units in this graph?
b. Use the following summary statistics to determine the equation of the least squares line for predicting points from shots.
Mean points: 31.56 SD points: 11.79
Mean shots: 22.82 SD shots: 7.41
Correlation between points and shots: .770
c. Write a sentence interpreting the slope coefficient.
d. What proportion of the variability in Bryant's points is explained by the least squares line with number of shots?
e. Suppose Bryant was to play one more game and take 50 shots. Which would have a greater impact on the least squares line that you calculated in part b: if he were to score 60 points in that game or if he were to score 2 points? Explain your answer.

Quizplus · Accepted Answer

The Answer of The following scatterplot displays the number of points scored by Kobe Bryant in each game of the 20062007 National Basketball Association season, as well as the number of shots that he attempted in each game:
  a. What are the observational units in this graph?
b. Use the following summary statistics to determine the equation of the least squares line for predicting points from shots.
Mean points: 31.56 SD points: 11.79
Mean shots: 22.82 SD shots: 7.41
Correlation between points and shots: .770
c. Write a sentence interpreting the slope coefficient.
d. What proportion of the variability in Bryant's points is explained by the least squares line with number of shots?
e. Suppose Bryant was to play one more game and take 50 shots. Which would have a greater impact on the least squares line that you calculated in part b: if he were to score 60 points in that game or if he were to score 2 points? Explain your answer.

The Following Scatterplot Displays the Number of Points Scored by Kobe