Question Help A magazine publi hes the top 100 companies to work for every year,

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Question Help A magazine publi hes the top 100 companies to work for every year, which includes the pe centage g o growth. Use the output to the right to complete parts a) through d) h be at each company. The output to the right shows the egression of the 2012 ob gr w % on the 2010 ob Dependent variable is Job Growth 2012 R-squared s 4.037 with 27-2 25 degrees of freedom 83.5% Variable Coefficient SE(Coet) t-Ratio P-Value 2.783 1.498 0.058 6.58 0.0000 1.85 0.0762 Job Growh 0.380 2010 a) State the hypotheses about the slope (both numericaly and in words). Ho: The job growth in 2012 is | related to the job growth in 2010: | | = HA: The job growthin 2012 is not related to the job growth in 2010: 1 | = b) Assuming that the assumptions for inference are satisfiad, perform the hypothesis test and state your conclusion in context. Assume 0.05 Identify he test statistic. The test statistic is(Do not round.) Identify the P-value. aue(Do not round.) State your conclusion in context. Choose the correct answor bolow. The | low | P-value indicates thare | sufficient Gvidano0 of a linear relationship between tha job growth value c) Explain what the R-squared in this regression means. Choose the correct answer below 0 A 83.5% of the variation in the job growth in 2012 is accounted for by the job growth in 2010. O B. Overall, the job growth in 2010 is 83.5% of the job growth in 2012. ° C. 83.5% of the variation in the job growth in 2010 is accounted for by the job growth in 2012. 0 D. Overal, the job growth in 2012 is 83.5% of the job growth in 2010. d) Do these resuits indicate that, in general, companies with a higher job growth in 2010 had a higher job grawth in 20127 Explain, OA. Yes, because there is significant evidenoe of a linear relationship with a negative slope ( B. No, because there is insufficient evidence of a linear relationship. C. 0 D. No, because there is insufficient evidence of a linear relationship, but the slope is negative. Yes, because there is significant evidence of a linear relationship witha positive slope.

Explanation / Answer

from given output

test statistic t =b1/sb1 =0.380/0.058 =6.56

pvalue =0.0000

c) option A is correct

d) option D is correct

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