discuss the limitations for your equation of the line of best fit. (regression e

Question

discuss the limitations for your equation of the line of best fit. (regression equation)

part 6: Regression Analysis: Days @ Gym in Feb versu Analysis of Variance Source Regression 3.876 3.876 0.22 0.645 DF Adj SS Adj MS F-Value P-Value Age 1 3.876 3.876 0.22 0.645 28 501.491 17.910 Error Lack-of-Fit 22 462.491 21.022 3.23 0.075 Pure Error 6 39.000 6.500 Total 29 505.367 Model Summary S R-sq R-sq(adj) R-sq(pred) 0.00% 4.23207 0.77% 0.00% Coefficients Term Constant 14.17 2.41 5.88 0.000 Age 0.0245 0.0528 0.47 0.645 1.00 Coef SE Coef T-Value P-Value VIF Regression Equation Days @ Gym in Feb 14.17 + 0.0245 Age =

Explanation / Answer

First of all, it doesnt make sense to predict the number of days @ Gym in Feb based on age being the independent variable. This is because, when it comes to age, it is ideally measured in years and here we are just trying to predict the days at gym in february, so age is not a suitable predictor variable in this case. As we can see that the P-Value of the independent variable age has come out to be 0.645 which is not significant. Moreover, the value of r^2 is 0 which means no variation in the dependent variable days @ gym in feb is accounted for by the variation in the independent variable i.e. age.

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