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Question 9 (1 point) You work for a company in the marketing department. Your manager has tasked you with forecasting sales by month for the next year. You notice that over the past 12 months sales have consistently gone up in a linear fashion, so you decide to run a regression the companys sales history. You find that the regression equation for the data is (sales) 104.21*(time) + 113.38. In 11 months you see the actual sales quantity was 380.64. What is the residual? 1) -1248.69 2) 879.05 3) 369.64 )-879.05 5) -369.64 Question 10 (1 point) Suppose that in a certain neighborhood, the cost of a home (in thousands) is proportional to the size of the home in square feet. The regression equation quantifying this relationship is found to be (price) 0.012(size) +35.06. You look more closely at one of the houses selected. The house is listed as having 2908.515 square feet and is listed at a price of $128.934 (thousand). The residual is 58.972. Interpret this residual in terms of the problem. 1) The square footage is 58.972 square feet less than what we would expect. 2) The price of the house is 128.934 thousand dollars larger than what we would expect. 3) The square footage is 58.972 square feet larger than what we would expect. 4) The price of the house is 58.972 thousand dollars larger than what we would expect 5) The price of the house is 58.972 thousand dollars less than what we would expect.Zagat restaurant guides publish ratings of restaurants for many large cities around the world. The restaurants are rated on a O to 30 point scale based on quality of food, decor, service, and cost. Suppose that someone wants to predict the cost of dinner at a restaurant in a city based on the Zagat food quality ratings. If 10 restaurants in a city are sampled and the regression output is given below, what can we conclude about the slope of food quality? Predictor Constant food quality Coef 26.017 2.233 Stdev 10.7949 0.878 t-ratio 2.41 2.54 0.0425 0.0346 R-sq 44.7% R-sq (adj) -37.79% = s-21.599 Analysis of Variance DF 1 SOURCE Regression Error Total 3016.6 3732 6748.6 MS 3016.6 466.5 6.47 0.0346 9 1) Since we are not given the dataset, we do not have enough information to determine if the slope differs from O. 2) The slope significantly differs from 0 3) Not enough evidence was found to conclude the slope differs significantly from 4) The slope is 2.233 and therefore differs from O 5) The slope is equal to 0

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Ans 9

Residual = Actual - Predicted

= 380.64- [104.21*11+113.38]

4)-879.05

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