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QUESTION 18 Questions 17 - 25 concern the following idea: An economist is studying how many hours per week small business owners put into their
QUESTION 18 Questions 17 - 25 concern the following idea: An economist is studying how many hours per week small business owners put into their business and whether it is related to the annual profit they earn from it. She gets information from a sample of small business owners about these two variables, and then runs a simple linear regression, some of the output of which is shown below. . Profit - last year's profit from the company (in 1000's of dollars) (ranges from 14.13 to 155.31) . Hours - the average weekly hours the small business owner personally worked for the business (ranges from 22 to 70) A simple linear regression is run, with the following output: summary(Im(profit ~ hours, data=small_bus)) Coefficients: Estimate Std. Error t value Pr(>It]) (Intercept) 0.9690 7.2469 0.134 0.894 hours 1.8551 0.2507 7.400 4.72e-11 Residual standard error: 19.8 on 98 degrees of freedom Multiple R-squared: 0.6074, Adjusted R-squared: 0.6034 F-statistic: 151.6 on 1 and 98 DF, p-value: 4.72e-11 Let B, be the symbol for the regression coefficient between profit and hours, and let by be its estimate. What is our best interpretation of by? O a. For every extra hour worked in the year, the owner can expect to make an extra $1.86 per week O b. For every extra hour worked per week, the owner can expect to make an extra $1.86 per week O c. For every extra hour worked per week, the owner can expect to make an extra $1855 over the year O d. For every extra hour worked in the year, the owner can expect to make an extra $1.86
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