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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

In Exercise 4.12, 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=-3x

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.

4.76 PCBs and Pelicans, Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be carcinogens and a great danger to natural ecosystems. As a result of several studies, PCB production was banned in the United States in 1979and by the Stockholm Convention on Persistent Organic Pollutants in 2001. One study, published in 1972 by R. Risebrough, is titled "Effects of Environmental Pollutants Upon Animals Other Than Man" (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, Vl, University of California Press, Pp. 443-463). In that study, 60Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm). The data are on the Weiss Stats site.

a. Obtain a scatterplot for the data.

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a. decide whether 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 rin terms of the linear relationship between the variables in question.

A value of rclose to 0indicates that the regression equation is either useless or ----- for making predictions.

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