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The chairman of the marketing department at a large state university undertakes

ID: 3061173 • Letter: T

Question

The chairman of the marketing department at a large state university undertakes a study to relate starting salary after graduation for marketing majors to grade point average (GPA) in major courses. To do this, records of 7 recent marketing graduates are randomly selected Coefficients Standard Errort StatP-value ntercept Slope 1.234863 11.997787.1E-05 0.395307 14.43578 2.88E-05 SSrr= 1.8407 SSn.-10.504 J:i=21.57 .yi-2268 A) Find the coefficient of determination and coefficient of correlation. B) Find the predicted starting salary when the graduation GPA in majoring courses is 3.5 C) Find 95% perdicted interval for part B.

Explanation / Answer

tstat(Intercept)= Intercept coefficient/standard error

11.99778= intercept coefficient/1.234863

coefficient of intercept = 11.99778*1.234863= 14.81561

coefficient of slope= 0.395307*14.43578= 5.706565

r = Sxy/ sqrt (Sxx*Sxy)

r= 10.504/sqrt(1.8407*10.504)

r= 10.504/sqrt(19.3347128)

r= 10.504/4.397

coefficient of correlation=r=2.3889

coefficient of determination= r^2= 2.3889*2.3889= 5.7068

y(hat)= 14.82+5.71*x

x=3.5

y(hat)= 14.82+5.71*3.5

= 34.805

Please Repost question C I have done the first two questions. Thank you

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