Question

Question 9 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 15 miles from work and spent $150.25 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 inputting a numeric response Not yet Points out of 1.00 P Flag question Simple linear regression results: Indapandanc Variabla: dsance s 307.77431+3.0482008 distance Sampla sza: 17 R (correl "bon coefficient 0.9101 R-sq-0.82 83265 Para meter Estimate Std. Err. T-tat P-Vslue Intercept | 107.77431 | 9.315081 | 15 | 11569936 eฉ0001 | Slape 3048200B 03583016 15 850736 00001 Answer Question 10 A researcher felt there might be a correlation between weather conditions and people's mental health. In order to verify his conjecture, he obtained data on the number of mostly sunny days (x) in 2015 from 245 randomly selected cities in the nation and their corresponding citizens' happiness indices (y). In other words, he wants to test if there is a statistically significant correlation between x and y. How should he carry out the analysis? Not yet answered Points out of 1.00 Select one: Flag question a. Run a differences-in-means test (also sometimes called here a 'paired t-test) on x and y with the null hypothesis that their means are equal and see if the resulting p-value is small for appropriately phrased hypotheses b. Run a simple linear regression and test if the slope estimate is statistically different from 1 with a t-test c. Run a simple linear regression and test if the slope estimate is statistically different from 0 with a t-test

Answer 1

9)
gas^ = 107.77431 + 3.0482008 * 15
= 153.497322

residual = yi - y^
= 150.25 - 153.497322
= -3.25

Note the negative sign in it