Question: A response variable has two possible explanatory variables, X₁ and X₂. Three linear models are produced - one based on X₁ only, one based on X₂ only, and one based on both X₁ and X₂. The AIC values for each model respectively are, 178.45, 183.56, and 149.21. Which is the best model based on the AIC value? A: Based on X₁ only. B: Based on X₂ only.. C: Based on X₁ and X₂. D: Can't be sure. 13

Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4

The relationship between sleep hours and overall happiness level on the next day was estimated as below in a linear format. (Happiness level is measured through a five-point scale: 1 = Extremely unhappy, 5 = Extremely happy)   Overall happiness level = 0.27 * Sleep hours + 2.34 (The p-value for the coefficient of Sleep hours is 0.02.)   Based on this equation, what is the expected happiness level of a person on a certain day, when he slept 7 hours the day before?

Consumers are often interested in the fuel efficiency of the vehicles they choose to buy, so much so that they will research the various models they consider buying. Fuel efficiency can depend on a variety of variables. In this analysis, there are 73 automobiles that are popular with consumers. A regression analysis has been performed; the dependent variable is CityMPG (EPA miles per gallon in city driving), and independent variables are Length (vehicle length in inches), Width (vehicle width in inches), Weight (vehicle weight in pounds), and ManTran (1 if manual shift transmission, 0 otherwise). The level of significance is 0.05. Use the following MegaStat output to answer questions about this regression analysis. a. State the regression equation. b. How would CityMPG be affected if the width of a vehicle increased by an inch? c. Estimate the CityMPG for a vehicle with a length of 190 inches, a width of 75 inches, a weight of 4100 pounds, and a manual. Round your answer to the nearest…