The Public Utility Commission in a southern state is interested in describing the

relationship between household monthly utility bills and the size of the house. A

recent study of 30 randomly selected household resulted in the following regression

results:

Regression Statistics Multiple R 0.115878667 R Square 0.013427866 Adjusted R Square -0.038496984 Standard Error 2.540377328 Observations 30 ANOVA df SS MS F Regression 1 1.668891856 1.668891856 0.258601916 Residual 19 122.6168224 6.45351697 Total 20 124.2857143 Coefficients Standard Error t Stat P-value Intercept 5.940809969 0.875967166 6.782000737 1.78E-06 Square Feet 0.07788162 0.153150743 0.50852917 0.61693623 Use the above output for answering the following questions: Part a) (8 marks) 1 ) Interpret the slope of the regression line. 11) Write down the estimated linear regression line. 111) What is the value of coefficient of determination? Interpret this value iv) What is the value of the coefficient of correlation? Interpret this value. Part b) (7 marks) Based on the information provided, indicate what, if any, conclusions can be reached about the relationship between utility bill and the size of the house in square feet