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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.

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Most popular questions from this chapter

(a) Plot the data points and the first linear equation on one graph and the data points and the second linear equation on another.

(b) Construct tables for x,y,e,e2,y^

(c) Determine which line fits the data points better according to the least-square criterion.

A Knight-Ridder News Service article in an issue of the Wichita Eagle discussed a study on the relationship between country music and suicide. The results of the study. coauthored by S. Stack and J. Gundlach, appeared as the paper "The Effect of Country Music on Suicide" (Social Forces, Vol. 71, Issue 1. Pp. 211-218). According to the article, " analysis of 49 metropolitan areas shows that the greater the airtime devoted to country music. the greater the white suicide rate," (Suicide rates in the black population were found to be uncorrelated with the amount of country music airtime.)

(a). Use the terminology introduced in this section to describe the statement quoted above.

(b). One of the conclusions stated in the journal article was that country music "nurtures a suicidal mood" by dwelling on marital status and alienation from work. Is this conclusion warranted solely on the basis of the positive correlation found between airtime devoted to country music and white suicide rate? Explain your answer.

Regarding linear equations with one independent variable, answer the following questions:
a. What is the general form of such an equation?
b. In your expression in part (a), which letters represent constants and which represent variables?
c. In your expression in part (a), which letter represents the independent variable and which represents the dependent variable?

In Problems 3-5, answer true or false to each statement. Explain your answers.

4. A horizontal line has no slope.

Fill in the blanks.

a. In the context of regression, an_______ is a data point that lies far from the regression line, relative to the other data points.

b. In regression analysis, an_______ is a data point where removal causes the regression equation to change considerably:

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