A study monitored several thousand people over decades of cigarette usage and re

Question

A study monitored several thousand people over decades of cigarette usage and recorded the incidence of lung cancer, described below, where X is cigarette usage in packs smoked per day and Y is relative risk of cancer. The relative risk is defined as the incidence of lung cancer in the exposed group divided by the incidence of lung cancer in the unexposed group.

question:

1. What is the residual for (0,1)?

2.calculate SSR, SSE, SST

Cig. packs / day (X): 0 0.5 1 1.5 2 2.5 Relative risk (Y): 1 5 12 17 24 26

Explanation / Answer

y^ = 0.8095 + 10.6857*x

for x = 0

y^ = 0.80952381

residual = yi - y^ = 1 - 0.80952381 =

for x = 1

y^ =  

residual = yi - y^ = 12 - 11.4952381 =  

b)

SSR (residual) =

SSE(explained) =

SST =

506.8333333

Please rate my solution

SUMMARY OUTPUT Regression Statistics Multiple R 0.992795961 R Square 0.98564382 Adjusted R Square 0.982054775 Standard Error 1.348720734 Observations 6 ANOVA df SS MS F Significance F Regression 1 499.5571429 499.5571 274.6257 7.77E-05 Residual 4 7.276190476 1.819048 Total 5 506.8333333 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Intercept 0.80952381 0.976132402 0.829318 0.453547 -1.90065 3.519702 -1.90065 x 10.68571429 0.644811843 16.57183 7.77E-05 8.89543 12.476 8.89543

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