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Chapter 4: Q. 4.133 (page 189)

The coefficient of determination of a set of data points is 0.70yand the slope of the regression line is -3.58. Determine the linear correlation coefficient of the data.

Short Answer

Expert verified

The linear correlation coefficient=-0.842

Step by step solution

01

Given Information

To find the linear correlation coefficient of data.

02

Explanation

Given information:

The coefficient of determination of the set of data points is r=0.709

The slope of the regression line=-3.58

Calculation:

From the given data, we have

The slope of the regression line is negative.

Then, the linear correlation coefficient

=-0.709=-0.842

Hence, the linear correlation coefficient=-0.842

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In Exercise 4.7, we give linear equations. For each equation,

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given equation is,

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For which of the following sets of data points can you reasonably determine a regression line? Explain your answer.

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