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PLEASE ASAP If you pay more in tuition to go to a top business school, will it n

ID: 3296827 • Letter: P

Question

PLEASE ASAP

If you pay more in tuition to go to a top business school, will it necessarily result in a higher probability of a job offer at graduation? Let y = percentage of graduates with job offers and x = tuition cost: then fit the simple linear model, E(y) = beta_0 + beta_1 x, to the data below. Is there sufficient evidence (at alpha = 0.05) of a positive linear relationship between y and x? Given the null and alternative hypotheses for testing whether there exists a positive linear relationship between y and x? A. H_0: beta_1 = 0 H_a: beta_1 > 0 B. H_0: beta_0 = 0 H_a: beta_0

Explanation / Answer

a) Option A is Correct

b) Test statistic will be 1.06

P value = 0.1601

Conclusion:

Option B is Correct

SUMMARY OUTPUT Regression Statistics Multiple R 0.350801 R Square 0.123061 Adjusted R Square 0.013444 Standard Error 7.444632 Observations 10 ANOVA df SS MS F Significance F Regression 1 62.21965 62.21965 1.122641 0.32029 Residual 8 443.3804 55.42254 Total 9 505.6 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 10.96019 72.93685 0.15027 0.884272 -157.232 179.1529 -157.232 179.1529 X Variable 1 0.002024 0.00191 1.059548 0.32029 -0.00238 0.006429 -0.00238 0.006429
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