Testing for a Linear Correlation . In Exercises 13–28, construct a scatterplot , and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6. Use a significance level of α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-2 exercises.) 27. Sports Diameters (cm), circumferences (cm), and volumes (cm 3 ) from bolls used in different sports are listed in the table below. Is there sufficient evidence to conclude that then: is a linear correlation between diameters and circumferences? Does the scatterplot confirm a linear association? 28. Sports Repeat the preceding exercise using diameters and volumes.
Testing for a Linear Correlation . In Exercises 13–28, construct a scatterplot , and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6. Use a significance level of α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-2 exercises.) 27. Sports Diameters (cm), circumferences (cm), and volumes (cm 3 ) from bolls used in different sports are listed in the table below. Is there sufficient evidence to conclude that then: is a linear correlation between diameters and circumferences? Does the scatterplot confirm a linear association? 28. Sports Repeat the preceding exercise using diameters and volumes.
Solution Summary: The author explains how to construct a scatterplot using the MINITAB software. The linear correlation coefficient r is 0.978, the P -value is 0.0000, and the critical value of
Testing for a Linear Correlation. In Exercises 13–28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6. Use a significance level of α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-2 exercises.)
27. Sports Diameters (cm), circumferences (cm), and volumes (cm3) from bolls used in different sports are listed in the table below. Is there sufficient evidence to conclude that then: is a linear correlation between diameters and circumferences? Does the scatterplot confirm a linear association?
28. Sports Repeat the preceding exercise using diameters and volumes.
Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.
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