Question: Problem 5 [6p] Still studying the result from the SRS of persons leaving a gym, a regression analysis has been conducted in order to study

Problem 5 [6p] Still studying the result from the SRS of persons leaving a gym, a regression analysis has been conducted in order

to study the relationship between the length of the visit (variable name

minutes, response variable) and the persons age (explanatory variable). The following results

are obtained. Call: 1m(formu1a = minutes ~ age, data = data_exam_2) Residuals:

Problem 5 [6p] Still studying the result from the SRS of persons leaving a gym, a regression analysis has been conducted in order to study the relationship between the length of the visit (variable name minutes, response variable) and the persons age (explanatory variable). The following results are obtained. Call: 1m(formu1a = minutes ~ age, data = data_exam_2) Residuals: Min 1Q Median 3Q Max -Z7.851 -5.745 -1.154 5.005 36.574 Coefficients : Estimate Std. Error t value Pr(>Itl) (Intercept) 31.2524 4. 0843 7. 652 2. 37e-11 *** age -0. 1417 0. 1169 -1.212 0.229 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 ' . ' 0.1 ' ' 1 Residual standard error: 9.911 on 88 degrees of freedom Multiple R-squared: 0.01642, Adjusted R-squared: 0.005243 F-statistic: 1.469 on 1 and 88 DF, p-value: 0.2287 a) What proportion of the sample variation in the response is explained by the predictor? (2p) b) Is there a statistically significant association between variables? State the p-value and your conclusion. Choose a = 0.05 (2p)

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