Q. 4.77 - Elementary Statistics

Question

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 $50$ states 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).

Step-by-Step Solution

Answer

a. The scatterplot for the given data is,

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

Part (a) Step 1: Given Information

The scatterplot for the given data must be determined. 

Part (a) Step 2: Explanation

Using MINITAB the scatterplot can be drawn  as:

• Data should be stored in $x$ and $y$, correspondingly.
• Select Scatter plot from the graph menu.
• Choose the option "With Connect Lines" from the drop-down menu. scatter graph
• In the $Y$ variables text box, type in the beer column.
• In the $X$ variables text box, type in the income column.
• To continue, click OK.

The scatterplot is as,

Part (b) Step 1: Given Information

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

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.