The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 41 inches. Is the result close to the actual weight of 273 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) Click the icon to view the critical values of the Pearson correlation coefficient r. 40 53 38 43 44 58 227 360 153 206 234 414 What is the regression equation? y =+ x (Round to one decimal place as needed.)

Solution: Let X be the chest size and Y be the Weight. The given data isThe regression equation is obtained by using excel. Procedure: Enter the data in excel. Click on Data>Data analysis>Regression. Enter the Y column in input Y range ($B$1:$B$7). Enter the X column in input X range ($A$1:$A$7). Check on labels. Click on ok. Output: From the excel output, the slope is 12.5 and intercept is –308.0.State the hypotheses. Null hypothesis: H0: Regression is not significant. Null hypothesis: H1: Regression is significant. Rejection rule: If the P-value is less than or equal to 0.05, then reject the null hypothesis. Conclusion: From the output, the P-value for the regression is 0. This is less than 0.05. By the rejection rule, reject the null hypothesis. Thus, the regression is significant.Then, the best predicted weight of a bear with a chest size of 41 inches is Thus, the best predicted weight of a bear with a chest size of 41 inches is 204.5 pounds. The actual weight is 273 pounds. This is not close to 204.5 pounds.