A magazine publishes the top 100 companies to work for every year, which include

Question

A magazine publishes the top 100 companies to work for every year, which includes the percentage growth in jobs at each company. The output to the right shows the regression of Dendent variable is: Job Growth 2012 the 2012 job growth (%) on the 2010 job growth. Use the output to the right to complete parts a) through d). R-squared-20.6% s 9.001 with 28-2 26 degrees of freedom Variable Coefficient SE(Coeff) t-Ratio P Intercept Job Growth 0.419 1418 2.45 0 0.338 24 0 3.468 2010 a) State the hypotheses about the slope (both numerically and in words). Ho: The job growth in 2012 related to the job growth in 2010: YO HA: The job growth in 2012 | related to the job growth in 2010-A b) Assuming that the assumptions for inference are satisfied, perform the hypothesis test and state your conclusion in context. Assume ?=0.05. Identify the test statistic. The e test statistic is(Donot round.) Identify the P-value. P-value-(Do not round.) State your conclusion in context. Choose the correct answer below TheP-value indicates there c) Explain what the R-squared in this regression means. Choose the correct answer below. V evidence of a linear relationship between the job growth values. A. ° B. ° C. 0 D. 20.6% of the variation in the job growth in 2010 is accounted for by the job growth in 2012. 20.6% of the variation in the job growth in 2012 is accounted for by the job growth in 2010. Overall, the job growth in 2010 is 20.6% of the job growth in 2012 Overall, the job growth in 2012 is 20.6% of the job growth in 2010

Explanation / Answer

a) H10: The job growth in 2012 is not related to the job growth in 2010.
Beta1 = 0
Ha: The job growth in 2012 is related to the job growth in 2010.
Beta1 not = 0

b) t = 1.24

P-value = 0.000

The P-value indicates there is evidence of a linear relationship between the job growth values

c)
Correct answer: option (B)

d) Correct answer: option (D)

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