answer letter c An equal number of families from eight different cities of vario

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answer letter c

An equal number of families from eight different cities of various sizes were asked their family incomes and how much money they spent for food, clothing, and housing per year. The city sizes (x_1), average annual family income (x_2), and average family expenditure (y) are summarized below. (City size in 1000s, family income and expenditure in $100s.) (a) We first study the relationship between City sizes (x_1) and expenditure (y). The following-quantities can be easily computed. Sigma y_i^2 = 51236: y = 79.75: Sigma x_1i^2 = 126550: x_1 = 112.5: Sigma x_1i y_i = 74445 Now consider the interaction model Model III: y_i = beta_0 + beta_1 x_1i + beta_2 x_2i + beta_3 x_1i x_2i + epsilon_i with epsilon_i ^IID~ N (0, sigma^2) which gives the following fit. Model III: Table of Parameter Estimates i. Complete the ANOVA table. Model III: ANOVA Table

Explanation / Answer

Completed ANOVA Table is here

The completed table is here given above

ANOVA df SS MS F Significance F Regression 3 338.6043 112.8681 26.72107 0.004168 Residual 4 16.89574 4.223935 Total 7 355.5

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