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Chapter 4: Q.4.157 (page 190)

Acreage and Value. The data from Exercise 4.73 for lot size (in acres) and assessed value (in thousands of dollars) for a sample of homes in a particular area are on the WeissStats site.

Short Answer

Expert verified

a). The linear correlation coefficient was chosen because it provides a descriptive measure of data.

b). The linear correlation coefficient is left out of the equation.

c). There is no calculation of the linear correlation coefficient.

Step by step solution

01

Part (a) Step 1: Given Information

The table below shows the lot size and assessed value for a sample of residences in a certain location.

02

Part (a) Step 2: Explanation

Draw a scatter plot showing the relationship between lot size and assessed value for a sample of properties in a certain location.

The scatter plot shows that the data points are distributed non-linearly.

As a result, the linear correlation coefficient, which is not a descriptive data metric, is used. As a result, parts b and c have been left out.

03

Part (b) Step 1: Given Information

The table below shows the lot size and assessed value for a sample of residences in a certain location.

04

Part (b) Step 2: Explanation

Component a provides the scatter plot for lot size and assessed value for a sample of dwellings in a certain location.

The scatter plot shows that the data points are distributed nonlinearly.

As a result, the linear correlation coefficient, which is not a descriptive data metric, is used.

As a result, the linear correlation coefficient is omitted from the equation.

05

Part (c) Step 1: Given Information

The table below shows the lot size and assessed value for a sample of residences in a certain location.

06

Part (c) Step 2: Explanation

Using the data from section a, we must build a scatter plot for lot size and assessed value for a sample of dwellings in a specific region.

After looking at the scatter plot, we decided to use the linear correlation coefficient. A descriptive measure of data is not the linear correlation coefficient.

As a result, there is no calculation of the linear correlation coefficient.

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Most popular questions from this chapter

A measure of the amount of variation in the observed values of the response variable not explained by the regression is the----. The mathematical abbreviation for it is----.

(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.

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).
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 the article "Comparison of Fiber Counting by TV Screen and Eyepieces of Phase Contrast Microscopy" (Amer. icon Industrial Hyeiene Asseciution Journal, Vol. 63, Pp. 756-761), 1. Moa et al. reported on determining fiber density by two different methods. Twenty samples of varying fiber density were each counted by 10 viewers by means of an eyepiece method and a television screen method to determine the relationship between the counts done by each method. The results, in fibers per square millimeter, are presented on the Weiss Stats site.

(a). Decide whether use of the linear correlation coefficient as a descriptive measure for the data is

appropriate, If so, then also parts (b)and(c).
See all solutions

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