2. A study was conducted to see whether heart rate (y) on swimmers linearly related to their age (x,) and swimming time for 2000 meters (x2). A random sample of ten swimmers was selected and the result is shown in the following Microsoft Excel output. Table 3 SUMMARY OUTPUT Regression Statistics Multiple R 0.19 R Square 0.04 Adjusted R Square -0.24 Standard Error 10.60 Observations 10 ANOVA df SS MS Regression 2 30.45 15.22 Residua 785.95 112.28 Total 9 816.40 Coefficients Standard Stat Error Intercept 226.15 176.92 1.28 Age -0.62 1.56 -0.40 Swim Time -2.03 4.68 0.43 (a) Interpret the value of R from the output. (4) (b) Conduct a hypothesis test to test whether the linear regression model is fit or not using a = 0.05. (9) (c) Calculate the 95% confidence interval for the coefficient value for age