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What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.

What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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An electric utility wishes to examine the relationship between temperature and electricity use in its service region during the summer months. The bivariate data below give the maximum temperature (denoted by x, in degrees Fahrenheit) and the electricity use (denoted by y, in thousands of kilowatt hours) for a random sample of fifteen summer days. The data are shown in the Figure 1 scatter plot. Also given are the products of the temperature values and values for electricity use for each of the fifteen days. (These products, written in the column labelled "xy," may aid in calculations.) Temperature, x Electricity use, y (in degrees Fahrenheit) (in thousands of kilowatt hours) ху 71.4 275.4 19663.56 y 82.9 313.2 25964.28 400 + 97.4 389.6 37947.04 375+ 89.6 319.0 28582.4 350 - 93.6 353.1 33050.16 75.7 289.0 21877.3 325 XX 92.9 352.9 32784.41 300- 71.5 234.5 16766.75 2751 81.3 319.6 25983.48 250 69.0 290.8 20065.2 X 95.1 334.3 31791.93 225 83.1 353.6 29384.16 76 86 85 96 9 100 96.4 304.6 29363.44 90.4 319.4 28873.76 Figure 1 83.5 265.0 22127.5 Send data to calculator Send data to Excel Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a list of formulas.) What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.
Transcribed Image Text:An electric utility wishes to examine the relationship between temperature and electricity use in its service region during the summer months. The bivariate data below give the maximum temperature (denoted by x, in degrees Fahrenheit) and the electricity use (denoted by y, in thousands of kilowatt hours) for a random sample of fifteen summer days. The data are shown in the Figure 1 scatter plot. Also given are the products of the temperature values and values for electricity use for each of the fifteen days. (These products, written in the column labelled "xy," may aid in calculations.) Temperature, x Electricity use, y (in degrees Fahrenheit) (in thousands of kilowatt hours) ху 71.4 275.4 19663.56 y 82.9 313.2 25964.28 400 + 97.4 389.6 37947.04 375+ 89.6 319.0 28582.4 350 - 93.6 353.1 33050.16 75.7 289.0 21877.3 325 XX 92.9 352.9 32784.41 300- 71.5 234.5 16766.75 2751 81.3 319.6 25983.48 250 69.0 290.8 20065.2 X 95.1 334.3 31791.93 225 83.1 353.6 29384.16 76 86 85 96 9 100 96.4 304.6 29363.44 90.4 319.4 28873.76 Figure 1 83.5 265.0 22127.5 Send data to calculator Send data to Excel Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a list of formulas.) What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.
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