Testing for a Linear Correlation . In Exercises 13-28, construct a scatterplot , and find the value of the linear correlation coefficient r. Also find tire P-value or the critical values of r from Table A-6 using 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 l0-3 exercises.) 21. Measuring Seals from Photos Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals (based on “Mass Estimation of Weddell Seals Using Techniques of Photograrnmetry,” by R. Garrott of Montana State University). The purpose of the study was to determine if weights of seals could be determined from overhead photographs. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals?
Testing for a Linear Correlation . In Exercises 13-28, construct a scatterplot , and find the value of the linear correlation coefficient r. Also find tire P-value or the critical values of r from Table A-6 using 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 l0-3 exercises.) 21. Measuring Seals from Photos Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals (based on “Mass Estimation of Weddell Seals Using Techniques of Photograrnmetry,” by R. Garrott of Montana State University). The purpose of the study was to determine if weights of seals could be determined from overhead photographs. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals?
Solution Summary: The linear correlation coefficient r is 0.948. There is no linear association between the overhead widths of seals from photographs and the weights
Testing for a Linear Correlation. In Exercises 13-28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find tire P-value or the critical values of r from Table A-6 using 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 l0-3 exercises.)
21. Measuring Seals from Photos Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals (based on “Mass Estimation of Weddell Seals Using Techniques of Photograrnmetry,” by R. Garrott of Montana State University). The purpose of the study was to determine if weights of seals could be determined from overhead photographs. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals?
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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