How much does it cost to commute to work? How does distance of your commute rela

Question

How much does it cost to commute to work? How does distance of your commute relate to your fuel usage? Data were collected on distance between a person's home and primary work location (distance) and the person's monthly expenditures on gasoline for their vehicle (gas) for 17 individuals. The regression analysis is given below. One of the 17 individuals in the sample lived 12 miles from work and spent $130.65 on gas. What is this individual's residual value? Give your answer to 2 decimal places. For help on how to input a numeric answer, please see "Instructions for Simple linear regression results: Dependent Variable: gas Independent Variable: distance gas 100.577934+3.0924354 distance Sample size: 17 R (correlation coefficient) = 0.9305 R-sq 0.86577564 Estimate of error standard deviation: 14.578037 inputting a numeric response." Parameter estimates Parameter EstimateStd. E. DF T-Stat P-Value Intercept 100.577934 7.3268094 15 13.7273855 .0001 Slope 3.0924354 0.3143894415 9.836321 0.0001 Answer:3.54

Explanation / Answer

Regression equation is:

y = 100.577934 + 3.0924354 x

For x = 12

y = 100.577934 + 3.0924354(12)

y = 137.69

Hence,

Residual = 130.65 - 137.69 = -7.04

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