Joseph works in First National Bank and is seeking to create a model that forecasts a client's average bank balance. He decides to run a regression on a sample of 36 individuals. He decides to use different client's demographics such as the clients age, years of education, income, home value, and household wealth Round your answers to nearest 3rd decimal place. Use the following reference sheet to see tables ANOVA dr SS Regression 5 679678611.5 Residual 30 79338471.29 Total 35 759017082.8 Intercept Median Age Median Years Education Median Income Median Home Value Median Household Wealth Coefficients -10358.98118 463.781794 -37.94135877 0.192570961 0.036049098 0.055518974 Standard Error 6409.488899 119.6993577 505.2527078 0.070221336 0.016548696 0.017504164 1. Write the model according to the output. 2. Explain the model (Interpret the model's coefficients.) 3. What is the t-stat for Median Age and Median years Education? Is it significant in the 5% level? (considering that this is a 2-tailed test) 4. What is the predicted interval for the slope coefficient of Median Income? 5. Calculate the standard error of the regression 6. Calculate the Adjusted R-square, what does it mean? 7. What is the F-Test of the model? What does it indicate