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Q 17.

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The Practice of Statistics for AP Examination

Found in: Page 173

Book edition 6th

Author(s) Daren Starnes, Josh Tabor

Pages 837 pages

ISBN 9781319113339

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Short Answer

More turnovers? Refer to Exercise $15$ Does the fact that $r = 0.92$ suggest
that an increase in turnovers will cause NBA players to score more points? Explain your reasoning.

No, the correlation does not suggest that an increase in turnovers will cause NBA players to score more points.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information

Correlation, r = 0.92

Step 2: Explanation

In the previous problem,

We concluded that

Turnovers and points have a significant and positive relationship.

However,

The association does not mean causation.

That means

An increase in turnovers does not necessarily cause NBA players to score more points.

Most popular questions for Math Textbooks

Using data from the LPGA tour, a regression analysis was performed using x = average driving distance and y = scoring average. Using the output from the regression analysis shown below, determine the equation of the least-squares regression line.

a. y^=87.974+2.391x

b. y^=87.974+1.01216x

c. y^=87.974−0.060934x

d. y^=−0.060934+1.01216x

e. y^=−0.060934+87.947x

Predicting wins Earlier we investigated the relationship between x =

payroll (in millions of dollars) and y = number of wins for Major League Baseball teams in 2016. Here is a scatterplot of the data, along with the regression line y^=60.7+0.139x

a. Predict the number of wins for a team that spends $200 million on payroll.

b. Predict the number of wins for a team that spends $400 million on payroll.

c. How confident are you in each of these predictions? Explain your reasoning.

Calculating achievement a study found a strong link between the number of calculators possessed by high school pupils and their arithmetic proficiency, according to the principle of a high school. Based on this study, he decides to buy each student at his school two calculators, hoping to improve their math achievement. Explain the flaw in the principal’s reasoning.

Scientists examined the activity level of 7 fish at different temperatures. Fish activity was rated on a scale of 0 (no activity) to 100 (maximal activity). The temperature was measured in degrees Celsius. A computer regression printout and a residual plot are provided. Notice that the horizontal axis on the residual plot is labeled “Fitted value,” which means the same thing as “predicted value.”

Which of the following gives a correct interpretation of s in this setting?

a. For every 1°C increase in temperature, fish activity is predicted to increase by 4.785 units.

b. The typical distance of the temperature readings from their mean is about 4.785°C.

c. The typical distance of the activity level ratings from the least-squares line is about 4.785 units.

d. The typical distance of the activity level readings from their mean is about 4.785 units.

e. At a temperature of 0°C, this model predicts an activity level of 4.785 units.

Suppose that a tall child with an arm span of 120 cm and a height of 118 cm was added to the sample used in this study. What effect will this addition have on the correlation and the slope of the least-squares regression line?

a. Correlation will increase, and the slope will increase.

b. Correlation will increase, and the slope will stay the same.

c. Correlation will increase, and the slope will decrease.

d. Correlation will stay the same, and the slope will stay the same.

e. Correlation will stay the same, and the slope will increase.

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