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What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)

What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)

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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80.9 324.4 26,243.96 00 91.1 303.2 27,621.52 91.0 326.1 29,675.1 71.0 237.1 16,834.1 81.1 305.1 24,743.61 83.7 261.2 21,862.44 85.4 345.1 29,471.54 71.4 278.3 19,870.62 Temperature (in degrees Fahrenheit) 99.0 392.1 38,817.9 Figure 1 73.7 302.4 22,286.88 96.8 290.6 28,130.08 Send data to calculator Send data to Excel What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) ElectricitY us (in thousands of kilow
Transcribed Image Text:80.9 324.4 26,243.96 00 91.1 303.2 27,621.52 91.0 326.1 29,675.1 71.0 237.1 16,834.1 81.1 305.1 24,743.61 83.7 261.2 21,862.44 85.4 345.1 29,471.54 71.4 278.3 19,870.62 Temperature (in degrees Fahrenheit) 99.0 392.1 38,817.9 Figure 1 73.7 302.4 22,286.88 96.8 290.6 28,130.08 Send data to calculator Send data to Excel What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) ElectricitY us (in thousands of kilow
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 is the product of the temperature and the electricity use for each of the fifteen days. (These products, written in the column labelled "xy", may aid in calculations.) Temperature, Electricity use, y (in degrees (in thousands of kilowatt ху Fahrenheit) hours) 95.3 350.8 33,431.24 400+ 94.6 344.5 32,589.7 3754 96.2 340.5 32,756.1 350 71.5 292.0 20,878 325 80.9 324.4 26,243.96 300- 91.1 303.2 27,621.52 91.0 326.1 29,675.1 275+ 71.0 237.1 16,834.1 250+ 81.1 305.1 24,743.61 225 83.7 261.2 21,862.44 100 29,471.54 85 85.4 345.1 71.4 278.3 19,870.62 Temperature (in degrees Fahrenheit) 99.0 392.1 38,817.9 Figure 1 73.7 302.4 22,286.88 96.8 290.6 28,130.08 Send data to calculator Send data to Excel Electricity use (in thousands of kilowatt hours)
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 is the product of the temperature and the electricity use for each of the fifteen days. (These products, written in the column labelled "xy", may aid in calculations.) Temperature, Electricity use, y (in degrees (in thousands of kilowatt ху Fahrenheit) hours) 95.3 350.8 33,431.24 400+ 94.6 344.5 32,589.7 3754 96.2 340.5 32,756.1 350 71.5 292.0 20,878 325 80.9 324.4 26,243.96 300- 91.1 303.2 27,621.52 91.0 326.1 29,675.1 275+ 71.0 237.1 16,834.1 250+ 81.1 305.1 24,743.61 225 83.7 261.2 21,862.44 100 29,471.54 85 85.4 345.1 71.4 278.3 19,870.62 Temperature (in degrees Fahrenheit) 99.0 392.1 38,817.9 Figure 1 73.7 302.4 22,286.88 96.8 290.6 28,130.08 Send data to calculator Send data to Excel Electricity use (in thousands of kilowatt hours)
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