Answer the questions below using the ANOVA output for a regression. The following regression is trying to predict, murders per annum per 1,000,000 inhabitants. Using the variables number of inhabitants, percent with incomes below $5000 and percent unemployed.

1. What is the coefficient of determination? What is its value? (1 Mark)

2. Is this a linear model? Why? (2 Marks)

3. What are the independent variables? Are each of them adding value to the equation? Explain why. (3 Marks)

4. Define the regression equation. (2 Marks)

5. If a community has 800,000, 15% of incomes are below $5000 and unemployment is 10%. What is the prediction for murders per year, for 1,000,000 people? (2 Marks)

SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.904609234 0.818317866 0.784252466 4.589778444 20 ANOVA df 3 Regression Residual Total SS MS F Significance F 1518.144941 506.0483 24.02197 3.62889E-06 337.0570587 21.06607 1855.202 16 19 Intercept Inhabitants Percent with incomes below $5000 Percent unemployed Coefficients Standard Error t Stat P-value Lower 95% Upper 95%ower 95.0%pper 95.0% -36.76492528 7.010925772 -5.24395 8.03E-05 -51.62742398 -21.9024 -51.6274 -21.9024 7.62937E-07 6.36301E-07 1.199019 0.247978 -5.85961E-07 2.11E-06 -5.9E-07 2.11E-06 1.192174211 0.561653909 2.122614 0.049741 0.001521112 2.382827 0.001521 2.382827 4.719821372 1.530475467 3.083892 0.007116 1.475358319 7.964284 1.475358 7.964284