Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Q. 4.77 (page 175)

More Money, More Beer?Does a higher state per capita income equate to a higher per capita beer consumption? From the document Survey of Current Business, published by the U.S. Bureau of Economic Analysis, and from the Brewer's Almanac, published by the Beer Institute, we obtained data on personal income per capita, in thousands of dollars, and per capita beer consumption, in gallons, for the 50states and Washington. D.C. Those data are provided on the Weiss Stats site.

a. Obtain a scatterplot for the data.

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

Short Answer

Expert verified

a. The scatterplot for the given data is,

b. Finding the regression line for the provided data is not feasible.

Step by step solution

01

Part (a) Step 1: Given Information

The scatterplot for the given data must be determined.

02

Part (a) Step 2: Explanation 

Using MINITABthe scatterplot can be drawn as:

  • Data should be stored in xand y, correspondingly.
  • Select Scatter plotfrom the graph menu.
  • Choose the option "With Connect Lines"from the drop-down menu. scatter graph
  • In the Yvariables text box, type in the beer column.
  • In the Xvariables text box, type in the income column.
  • To continue, click OK.

The scatterplot is as,

03

Part (b) Step 1: Given Information

To establish whether or not the regression line's evaluation is reasonable.

04

Part (b) Step 2: Explanation 

No, finding a regression line for the supplied data is not reasonable because there is no linear pattern. As a result, the data does not appear to represent a linear pattern.

As a result, portions (c) through (f) are omitted.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Exercise 4.7, 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=-7x+6

Corvette Prices. In Exercise 4.59. you determined a regression equation that can be used to predict the price of a Corvette, given its age.

a. Should that regression equation be used to predict the price of a 4-year-old Corvette? a 10-year-old Corvette? Explain your answers.

b. For which ages is the use of the regression equation to predict price reasonable?

If there is no linear relationship between xand y, the variables are linear -------

Sample Covariance. For a set of n data points, the sample covariance, sxy+is given by

The sample covariance can be used as an alternative method for tinding the slope and y-intercept of a regression line. The formulas are

b1=sv/xk2andb0=y^-b1i^n

where sidenotes the sample standard deviation of the x-values.

a. Use Equation (4.1) to determine the sample covariance of the data points in Exercise 4,45.

b. Use Equation (4.2) and your answer from part (a) to find the regression equation. Compare your result to that found in Exercise 4.57.

Movie Grosses. Box Office Mojo collects and posts data on movie grosses. For a random sample of 50 movies, we obtained both the domestic (U.S.) and overseas grosses, in millions of dollars. The data are presented on the Weiss Stats site.

a. Obtain a scatterplot for the data.

b. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)-(f).
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free