Question

9. Listed below are the overhead widths​ (in cm) of seals measured from photographs and the weights​ (in kg) of the seals. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the critical values of r using alphaequals0.05. 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?

Overhead Width               Weight

7.1          113

7.6          161

9.8          247

9.3          200

8.7          197

8.3          187

The linear correlation coefficient r is _______ ​

(Round to three decimal places as​ needed.)

The critical values are r = __________

​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

Because the absolute value of the linear correlation coefficient is (greater/less) than the positive critical​ value, there (is/IS not) sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals for a significance level of α =0.05

Answer 1