/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.4.161 More Money, More Beer? The data ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

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.

Short Answer

Expert verified

The data does not appear to have a linear pattern. As a result, portions (b) through (c) will be omitted.

Step by step solution

01

Part (a) Step 1: Given Information

The data from Exercise 4.74 for home size (in square feet) and assessed value (in thousands of dollars) for the same homes as in Exercise 4.157 are on the WeissStats site.

02

Part (a) Step 2: Explanation

The MINITAB: can be used to create a scatterplot for the given data.

Step 1: Select Graph > Scatterplot from the drop-down menu.

Step 2: Click OK after selecting With Connect Line.

Step 3: Add a BEER column to the Yvariables section.

Step 4: Add an INCOME column to the Xvariables section.

Step 5: Click the OK button.

The resulting scatterplot will be


Finding a regression line for the data is not acceptable since the observations are not dispersed around a line in the scatterplot above.

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.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

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

Shortleaf Mines. The ability to estimate the volume of a tree based on a simple measurement, such as the tree's diameter, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet. and diameter at breast height, in inches, for 70shortlist pics were reported in C. Bruce and F. X. Schumacher's hopes Mensuration (New York: McGraw-Hill. 1935) and analyzed by A. C. Atkinson in the article "Transforming Both Sides of a Tree" (The Anarricas Slasisiciun, Vol, 48, PD. 307-312), The data are presented on the WeissStats site.

a. Obtain a scatterplot for the dater.

h. Decide whether finding a depression lime for the data is reasonable. If so, then also do jurras (e) (f.

In Exercise 4.11, 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=2

Theyintercept of a line has no effect on the steepness of the line.

The linear correlation coefficient is also known by another name. what is it?

Tine Series. A collection of observations of a variable y taken at regular intervals over time is called a time series. Bocoomsic data and electrical signals are examples of time series. We can think of a time series as providing data points x1+y2where x0is the ith observation time and yiis the observed value of y at time xi. If a time series exhibits a linear trend, we can find that trend by determining the regression equation for the data points. We can then use the regression equation for forecasting purposes.

As an illustration, consider the data on the WeissStats site that shows the U.S. population, in millions of persons, for the years 1900 2013. as provided by the I.S. Census Beret.

a. Use the technology of your choice to lesbian a scatterplot of the data.

h. Use the technology of your choice to find the regression equation.

6. Use your result from part (b) to forecast the U.S. population for the years 2014 and 2015 .

See all solutions

Recommended explanations on Math Textbooks

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.