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

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

Short Answer

Expert verified

The regression line for the data is not-reasonable.

Step by step solution

01

Given Information 

Whether it is reasonable to find the regression line or not.

02

Explanation 

The scatterplot for the given data can be drawn by using the MINITAB:

Step 1: Choose Graph> Scatterplot

Step 2: Choose With Connect Line, and then click OK.

Step 3: UnderYvariables, enter a column of BEER

Step 4: UnderXvariables, enter a column of INCOME

Step 5: Click OK

03

Explanation 

The scatterplot obtained will be,

From the above scatterplot, it is not reasonable to find a regression line for the data because the observations are not scattered around a line. Hence, there is no linear pattern visible in the given data. Therefore, the parts (b) - (d) will be omitted.

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Most popular questions from this chapter

A value ofrclose toยฑ1indicates that there is a ------ linear relatinship between the variables.

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

The data for gas mileage and engine displacement for 121vehicles from Exercise 4.78are provided 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).

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.

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 forx,y,e,e2,y^

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

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