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1.The following minitab regression output

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1.The following minitab regression output represents the age of a person and the number of prescription pills he/she takes each day. Regression Analysis: No. of Pills Per Day versus Age

The regression equation is No. of Pills Per Day = 0.17 + 0.117 Age

Predictor Coef SE Coef T P Constant 0.171 2.155 0.08 0.937 Age 0.11681 0.03908 2.99 0.007

S = 3.21203 R-Sq = 28.0% R-Sq(adj) = 24.8%

Analysis of Variance

Source DF SS MS F P Regression 1 92.15 92.15 8.93 0.007 Residual Error 23 237.29 10.32 Lack of Fit 17 193.46 11.38 1.56 0.304 Pure Error 6 43.83 7.31 Total 24 329.44

a. Is the data linear? Test for lack of fit at the 0.05 level of significance. show work

State the Null and Alternative Hypotheses:

State the test statistic:

State the p-value:

Decision

Conclusion

b.Is the regression equation useful for predicting number of pills taken each day based on age? Use α = 0.05