A magazine publishes the top 22 companies to work for every year, which includes

Question

A magazine publishes the top 22 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 the 2008 job growth (%) on the 2006 job growth. Complete parts a through d. Dependent variable is: Job Growth 2008 R squared = 82.8% R squared (adjusted) = 81.9% s = 4.128 with 22-2 = 20 degrees of freedom Explain what the R-squared in this regression means. Choose the correct answer below. The percentage of the variation in the job growth in 2008 accounted for by the job growth in 2006 is 82.8%. Overall, the job growth in 2008 is 82.8% of the job growth in 2006. The percentage of the variation in the job growth in 2006 accounted for by the job growth in 2008 is 82.8%. Overall, the job growth in 2008 is 17.2% of the job growth in 2006. Do these results indicate that, in general, companies with a higher job growth in 2006 will also have a higher job growth in 2008? Yes, because there is sufficient evidence of a linear relationship with a positive slope. No, because there is insufficient evidence of a linear relationship. No, because there is sufficient evidence of a linear relationship, but the slope is negative. Yes, because there is sufficient evidence of a linear relationship with a negative slope.

Explanation / Answer

Ans: c)R2 indicate the percentage or proportion of variation due to linear relationship.As the R2 is equal to 82.8%,the percentage of the variation in the job growth in 2008 accounted for by the job growth in 2006 is 82.8%.

Hence,The option A is correct.

d) Option A is correct.

Yes ,there is sufficient evidence for a linear relationship with positive slope(as P-value <significance level,we can not accept the null hypothesis and we accept alternative hypothesis i.e. b1 is not equal to zero)

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