The data set weight.dta consists of measurements on the weight, height, and age of 12 nutritionally deficient children. a. Construct a scatterplot matrix with all three variables and comment. b. Fit a multiple linear regression model of weight on height and age. State the fitted model. c. Is there evidence of a regression relationship between weight and height and age? Test at the 0.05 significance level. Clearly state your hypothesis and conclusion. d. Interpret the 95% confidence interval for the coefficient of height. e. Obtain a 95% interval for population mean weight for a child aged 8 with height 52 inches. Interpret. f. Obtain a prediction interval for the weight of a new child aged 8 with height 52 inches. Interpret