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Chapter 4: Q.4.156 (page 190)

Movie Grosses. The data from Exercise 4.72 on domestic and overseas grosses for a random sample of 50movies are on the Weiss Stats site.

a. decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (CK.

b. obtain the linear correlation coefficient.

c. interpret the value of rin terms of the linear relationship between the two variables in question.

Short Answer

Expert verified

a). As a descriptive metric of data, we choose to employ the linear correlation coefficient.

b). The linear correlation coefficient =0.852.

c). The positive linear correlation coefficient indicates that domestic and foreign gross receipts have a relatively favorable relationship.

Step by step solution

01

Part (a) Step 1: Given Information

The Weiss Stats website offers information on domestic and international grosses for a random selection of 50films.

02

Part (a) Step 2: Explanation

Draw the scatter plot for domestic grosses and overseas grosses.

As observed in the scatter plot, the data points are distributed along a line.

As a consequence, as a data descriptive metric, we picked the linear correlation coefficient.

03

Part (b) Step 1: Given Information

The Weiss Stats website offers information on domestic and international grosses for a random selection of 50films.

04

Part (b) Step 2: Explanation

Any technique may be used to find the correlation coefficient.

We'll begin by inputting the brides and their scores, followed by the ultimate outcome.

Hence,

The linear correlation coefficient =0.852.

05

Part (c) Step 1: Given Information 

Movie Grosses. The data from Exercise 4.72 on domestic and overseas grosses for a random sample of 50 movies are on the Weiss Stats site.

06

Part (c) Step 2: Explanation

The linear correlation co-efficient r=0.852.

The positive linear correlation coefficient indicates that domestic and foreign gross receipts have a relatively favorable relationship.

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Most popular questions from this chapter

In Exercise 4.12, we give linear equations. For each equation,

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

Given equation is,

y=-3x

In Exercise 4.9, we give linear equations. For each equation,

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

Given equation is,

y=0.5x-2

U.S. Presidents. The data from Exercise 4.71 for the ages at the inauguration and of death for the presidents of the United States are on the Weissstats site.

a. decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate, If so, then also do parts (b) and (c).

b. obtain the linear correlation coefficient.

c. interpret the value of r in terms of the linear relationship between the two variables in question.

The data for shell thickness and concentration of PCBs for 60Anacapa pelican eggs from Exercise4.76are on the Weiss Stats site.

(a) Decide whether finding a regression line for the data is reasonable. If so, then also do puts (b)-(d).

More Money, More Beer? The data for per capita income and per capita beer consumption for the 50states and Washington, D.C., from Exercise 4.77 are on the WeissStats site.

a. decide whether the use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).

b. obtain the linear correlation coefficient.

c. interpret the value of Xin terms of the linear relationship between the mo variables in question.
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