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Chapter 3: Q 41. (page 203)

More wins? Refer to Exercise 37

a. Interpret the slope of the regression line.

b. Does the value of the y-intercept have meaning in this context? If so, interpret the y-intercept. If not, explain why.

Short Answer

Expert verified

Part (a) The slope in the least square regression equation is the coefficient of xand indicates the average rise or decrease of yper unit of x

Part (b) It does not have meaning.

Step by step solution

01

Part (a) Step 1: Given information

It is stated in the regression line question that,

y⏜=60.7+0.139x

02

Part (a) Step 2: Explanation

As we know, the slope in the least square regression equation is the coefficient of xand indicates the average rise or decrease of y per unit of xThus, the slope is,

b1=0.139

As a result, the number of wins improves by 0.139wins per million dollars on average.

03

Part (b) Step 1: Explanation

The y-intercept, as we all know, is a constant in the least square regression equation that reflects the average y-value when x is 0 As a result, the y-intercept is:

b0=60.7

When the payroll is zero million dollars, this means there are 60.7 victories. However, having a payroll of zero million dollars is illogical, and the y-value intercepts has no bearing in this situation.

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Most popular questions from this chapter

Marijuana and traffic accidents (1.1) Researchers in New Zealand interviewed 907 drivers at age 21. They had data on traffic accidents and they asked the drivers about marijuana use. Here are data on the numbers of accidents caused by these drivers at age 19, broken down by marijuana use at the same age:

a. Make a graph that displays the accident rate for each category of marijuana use. Is there evidence of an association between marijuana use and traffic accidents? Justify your answer.

b. Explain why we can’t conclude that marijuana use causes accidents based on this study.

Does fast driving waste fuel? How does the fuel consumption of a car change as its speed increases? Here are data for a British Ford Escort. Speed is measured in kilometers per hour and fuel consumption is measured in liters of gasoline used per 100 kilometers traveled.

a. Make a scatterplot to display the relationship between speed and fuel consumption.

b. Describe the relationship between speed and fuel consumption.

Residual wins Refer to Exercise 37. The Chicago Cubs won the World

Page Number: 203 Series in 2016. They had 103 wins and spent $182 million on the payroll. Calculate and interpret the residual for the Cubs.

In a scatterplot of the average price of a barrel of oil and the average retail price of a gallon of gas, you expect to see

a. very little association.

b. a weak negative association.

c. a strong negative association.

d. a weak positive association.

e. a strong positive association.

More long jumps Refer to Exercise 52. Use technology to create a residual plot. Sketch the residual plot and explain what information it provides.
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