Saved Help Save & Exit Submit Check my work 2 Many regions in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. This has motivated many of the large grocery store chains to build new stores in the region. The Kelley's Super Grocery Stores Inc. chain is no exception. The director of planning for Kelley's Super Grocery Stores wants to study adding more stores in this region. He believes there are two main factors that indicate the amount families spend on groceries. The first is their income and the other is the number of people in the family. The director gathered the following sample 25 information. points Family Food Income Size 1 $6 . 06 $ 73. 98 eBook 4 . 08 54.90 5. 76 66.27 JAUAWN 3. 48 52. 02 4.20 65. 70 4.80 53 . 64 7 4.32 79.74 8 5.04 68.58 9 6. 12 165.60 10 3.24 64.80 11 4. 80 138 . 42 12 3.24 125 . 82 13 5 .58 77.58 JUWUINWH AUWOUTHWHUAWANHANN 14 5 . 78 100.52 15 6 .60 161.02 16 5. 40 141. 30 17 6.00 36.90 18 5. 40 56. 88 19 3 .36 71.82 20 4. 68 69 .48 21 4.32 54.36 22 5.52 87 . 66 23 4.56 38 . 16 24 5 .40 43.74 25 4. 41 43.39 Mc 2 of 4 Graw Prev Next >Check my work 2 Food and income are reported in thousands of dollars per year, and the variable size refers to the number of people in the household. a-1. Develop a correlation matrix. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal 25 places.) points Food Income eBook Income Size a-2. Do you see any problem with multicollinearity? There is2 Check my work b-1. Determine the regression equation. (Round your answer to 3 decimal places.) 25 The regression equation is: Food = points Income + size eBook b-2. How much does an additional family member add to the amount spent on food? (Round your answer to the nearest dollar amount.) Another member of the family adds to the food bill. c-1. What is the value of R2? (Round your answer to 3 decimal places.) P22 c-2. Complete the ANOVA (Leave no cells blank - be certain to enter "0" wherever required. Round SS, MS to 4 decimal places and Fto 2 decimal places.) 25 points Source DF SS MS F p-value Regression eBook Error Total c-3. State the decision rule for 0.05 significance level. Ho: = B1 = B2 = 0; H: Not all Bj's = 0. (Round your answer to 2 decimal places.) Ho is rejected if F>2 c-4. Can we reject Ho: = $1 = 32 = 0? oints Ho. At least one of the regression coefficients is eBook d-1. Complete the table given below. (Leave no cells blank - be certain to enter "O" wherever required. Round Coefficient, S Coefficient, p-value to 3 decimal places and t to 2 decimal places.) Predictor Coefficient SE Coefficient p-value Constant McCheck 2 d-1. Complete the table given below. (Leave no cells blank - be certain to enter "0" wherever required. Round Coefficient, SE Coefficient, p-value to 3 decimal places and t to 2 decimal places.) 25 points Predictor Coefficient SE Coefficient p-value Constant Income eBook Size d-2. Would you consider deleting either of the independent variables? There is to delete a variable.2 e. State true or false. Histogram of the Residuals (response is Food) 25 points 5 eBook Frequency 3. -0.8 -0. 6 0.4 0.2 0.0 0.2 0.4 0.6 0.8 Residual From the graph the residuals appear normally distributed. O True O False2 f. Choose the right option from the following graph. Residuals Versus the Fitted Values 25 (response is Food) points eBook Residual Fitted Value O There is a homoscedasticity problem. O There is no homoscedasticity