VII. The campaign manager of a candidate for president of the United States want

Question

VII. The campaign manager of a candidate for president of the United States wanted to find out whether there was a relationship between the number of votes his candidate obtained and the number of hours he spent actively campaigning in different primaries. The results of the primaries were as follows: (15 points = a-c) Number of Votes obtained (000) Number of hrs. Campaigning (x) 40 26 49 48 42 40 52 34 39 40 Primary Indiana New Jersey New York Massachusetts Texas Pennsylvania California Wisconsin Illinois Ohio 200 175 415 320 275 300 475 125 400 315 a. Fit a least squares line from which we can predict the number of votes obtained b. Use the equation found in part(a) to predict the number of votes that can be c. Test the null hypothesis 12 against the alternative

Explanation / Answer

a)

y^ = -172.374 + 11.5213*x

b)

when x = 37

y^ = 253.9147

c) TS = (11.52132-12)/3.222= -0.14856

critical value is around 3

since |TS|< critical value

we fail to reject the null

d)

p-value of b = 0.0073 < 0.05

hence we reject the null and conclude that there is significant evidence of correlation

Please rate

SUMMARY OUTPUT Regression Statistics Multiple R 0.784299427 R Square 0.61512559 Adjusted R Square 0.567016289 Standard Error 73.19132932 Observations 10 ANOVA df SS MS F Significance F Regression 1 68494.2345 68494.2345 12.78600136 0.007232848 Residual 8 42855.7655 5356.970688 Total 9 111350 Coefficients Standard Error t Stat P-value Lower 95% Intercept -172.374031 134.1170336 -1.285250847 0.234661891 -481.6484652 x 11.52131783 3.222068612 3.575751859 0.007232848 4.091214287

y^ = -172.374 + 11.5213*x

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