1. You are interested in the average salary of Canadians (in thousands of dollars). You collect data and produce the following table. \begin{tabular) ICICICICIC] Vhline & estimate & Std. Error & $\mathrm{t}$ value & $\operatorname (Pri (>$ W \hline intercept & 20 & 2 & 31 & $0.0000$ \hline age (yrs) & $0.5$ & $0.35$ & 15 & $0.0005$ Ahline post-secondary education (yrs) & 1,5 & ) $1.3$ & 12 & $0.001$ Nhline weight (lbs) & $-0.001$ & $3.5$ & $0.01$ & $0.997$ W Whline \end{tabular $\mathrm{df)=18$ Adjusted $R^{2}=0.82$ (a) Write the multiple regression model for income as a function of the explanatory variables. (b) Are there any variables that are not important for the prediction of income in the model? (c) What is the slope for post-secondary education with respect to income? What does this mean? (d) What is the y-intercept? What does it mean in real-world terms? (e) Suppose you have an individual that is 32 years old, with 4 years of schooling and a weight of 175 lbs. What is their income? SP.SD. 056