ll]. Backpack weight backpack, in pounds. and the child's age. was recorded for a sample of Irish secondary school children. A simple linear regression. Y,- : n + 31X.- + is, is tted to the sample data. in order to explain the variability in backpack giving the following output: fit |t|) (Intercept) 19.56 1.252 15.616 d. age 1-?3 {9.4331 22.134 ones Residual standard error: 1.d? on 43 degrees of freedom Hultiple Rsquared: d.911,Adjusted Rsquared: $.9d9 Which one of the following statements is TRUE? to) Using this model, the backpack weight for an individual child that is aged [4 is estimated to be 8.2 pounds. (b) The coefcient of the variable age. indicates the age increases by LTB on average for each 1 pound increase in the weight of the backpack. (c) The estimated constant, 49.56, implies the backpack weight decreases by [9.56 pounds on average for each 1 year increase in age. [{1} s = 1.0?6 is an estimate of or. The larger the value of s. the better the t of the model to the data. (e) Testing l = versus 391 i U. gives test statistic - i 5.616. which has p-value oooo and indicates age is not a good indicator of backpack weight in the population. (1') Testing [fl = {l versus 1 i U. gives test statistic 22. [34, which has p-value and indicates age is a good indicator of backpack weight in the population