Question & The following regression output is based on Fiji Farm Survey data. The regression output estimates relationship between cultivated land area (acres, X) and annual profit from farming ($, Y). SUMMARY OUTPUT Multiple R 0.49 R Square 0.24 Standard Error 1480.81 Observations 297.00 ANOVA AN F Regression 1.00 209607737.11 209607737.11 95.59 Residual 29500 646875304.11 2192797.64 5 296.00 | 8564830-41.22 Standard Coefficients Stat P-value Intercept 369.78 182.09 2.00 0.04 X Variable 1 181.11 18.52 9.78 a) Properly present your estimated model in terms of an simple linear equation. b) Interpret slope of your estimated model. c) Assume, if there is positive relationship between cultivated land area (acres, X) and annual profit from farming ($,Y). This means "a decrease in cultivated land area causes decrease in annual profit from farming". Do you agree with this statement? d'j Based on your model, estimate annual profit from farming for Jack if his farm cultivated land area is 10 acres. 2) Based on your model, estimate required cultivated land area to make annual profit of $3000. State and interpret coefficient of determination? g) Test at the 1% level, for the existence of a positive linear relationship between cultivated land area (acres, X) and annual profit from farming ($,Y) h) Find value for standard error of estimate. i) Explain autocorrelation and discuss procedure to detect autocorrelation. 1) Interpret below scatter plot of Residual and Predicted values of Y with reference to required condition for error term. 5000 4000 2000 Residuals 4000 5000 6000 7000 4000 6000 Predicted Values