Develop a model to predict the assessed value in thousands of dollars), using the size of the houses in thou- sands of square feet) and the age of the houses in years) from the following table (whose data are stored in the file

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11.62 Develop a model to predict the assessed value in thousands of dollars), using the size of the houses in thou- sands of square feet) and the age of the houses in years) from the following table (whose data are stored in the file Size of House Assessed (Thousands of Age House Value (5000) Square Feet) (Years) 184.4 2.00 3.42 177.4 1.71 11.50 175.7 1.45 8.33 185.9 1.76 0.00 179.1 7.42 170.4 1.20 32.00 175.8 1.55 16.00 185.9 1.93 2.00 178.5 1.59 1.75 179.2 1.50 2.75 186.7 1.90 0.00 179.3 1.39 0.00 174.5 1.54 12.58 183,8 1.89 2.75 176.8 1.99 7.17 1.93 OOO 14 15 a. State the multiple regression equation. b. Interpret the meaning of the slopes in this equation. c. Predict the mean assessed value for a house that has a size of 1.750 square feet and is 10 years old. d. Perform a residual analysis on the results and determine the adequacy of the model. e. Determine whether there is a significant relationship between assessed value and the two independent vari ables (size and age) at the 0.05 level of significance. f. Determine the p-value in (e) and interpret its meaning. Interpret the meaning of the coefficient of multiple determination in this problem h. Determine the adjusted r 1. At the 0.05 level of significance, determine whether each independent variable makes a significant contribu tion to the regression model. Indicate the most appropri- ate regression model for this set of data. J. Determine the p values in () and interpret their meaning 95% confidence interval estimate of the population slope between assessed value and size. How does the interpretation of the slope here differ from that of Problem 10.77 on page 416? I. Compute and interpret the coefficients of partial determination. m. The real estate assessor's office has been publicly quoted as saying that the age of a house has no bearing on its assessed value. Based on your answers to (a) through (I), do you agree with this statement? Explain 11.62 Develop a model to predict the assessed value in thousands of dollars), using the size of the houses in thou- sands of square feet) and the age of the houses in years) from the following table (whose data are stored in the file Size of House Assessed (Thousands of Age House Value (5000) Square Feet) (Years) 184.4 2.00 3.42 177.4 1.71 11.50 175.7 1.45 8.33 185.9 1.76 0.00 179.1 7.42 170.4 1.20 32.00 175.8 1.55 16.00 185.9 1.93 2.00 178.5 1.59 1.75 179.2 1.50 2.75 186.7 1.90 0.00 179.3 1.39 0.00 174.5 1.54 12.58 183,8 1.89 2.75 176.8 1.99 7.17 1.93 OOO 14 15 a. State the multiple regression equation. b. Interpret the meaning of the slopes in this equation. c. Predict the mean assessed value for a house that has a size of 1.750 square feet and is 10 years old. d. Perform a residual analysis on the results and determine the adequacy of the model. e. Determine whether there is a significant relationship between assessed value and the two independent vari ables (size and age) at the 0.05 level of significance. f. Determine the p-value in (e) and interpret its meaning. Interpret the meaning of the coefficient of multiple determination in this problem h. Determine the adjusted r 1. At the 0.05 level of significance, determine whether each independent variable makes a significant contribu tion to the regression model. Indicate the most appropri- ate regression model for this set of data. J. Determine the p values in () and interpret their meaning 95% confidence interval estimate of the population slope between assessed value and size. How does the interpretation of the slope here differ from that of Problem 10.77 on page 416? I. Compute and interpret the coefficients of partial determination. m. The real estate assessor's office has been publicly quoted as saying that the age of a house has no bearing on its assessed value. Based on your answers to (a) through (I), do you agree with this statement? Explain