#1 parts a, b, c, d, and e

A researcher was investigating possible explanations for deaths in traffic accidents. He examined data from 1991 for each of the 50 states plus Washington D.C. The data included the number of deaths in traffic accidents (labeled as the variable Deaths), the average income per family (labeled as the variable Income), and the number of children (in multiples of 100,000) between the ages of 1 and 14 in the state (labeled as the variable Children). As part of his investigation he ran the following multiple regression model Deaths = b0 + bl (Children) + b2 (Income) + ei where the deviations ei were assumed to be independent and normally distributed with mean 0 and standard deviation S. This model was fit to the data using the method of least squares. Complete the following blanks: Source df Sum of Squares MS F p-value Model 2 48362278 2418139 38148 000 Error 48 3042063 63.388 Variable Parameter Est. Standard Error of Parameter Est. T p-value Constant 593.829 204.114 2.909 (.001. .0025) Children 90.629 3.305 27.42 2001 Income -0.039 0.015 -2.6 (.01, .02) A). Find the value of s the estimate of s. B). Find the proportion of the variation in the variable Death that is explained by the explanatory variables Children and Income. C). Find the least-squares regression line for predicting Death from the average income per family and the number of children between the ages of 1 and 14 in the state. D) State the null hypothesis and alternative hypothesis by the ANOVA F statistic for this problem. What is the distribution of the F statistic under the null hypothesis? What conclusion do you draw from the F test? E) Find a 99% confidence interval for b2, the coefficient of the variable Income