Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 10 - Correlation and Regression - Review Exercises - Section 10-1 and 10-2 - Page 603: 7

Answer

a. see the plot. b. $r=0.907$ c. The correlation coefficient is significant at $\alpha=$0.01 d. $y = 3.4076x + 102.85$ e. see the plot. f.$6918$
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Work Step by Step

a. Draw the scatter plot. see the plot. b. Compute the value of the correlation coefficient. $r=0.907$ c. Test the significance of the correlation coefficient at $\alpha=$0.01, using Table I. $df=5, r_c=0.875, |r|>r_c$, the correlation coefficient is significant at $\alpha=$0.01 d. Determine the regression line equation if r is significant. $y = 3.4076x + 102.85$ e. Plot the regression line on the scatter plot, if appropriate. see the plot. f. Predict y for a specific value of x, if appropriate. $y = 3.4076\times2000 + 102.85=6918$
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