37. Calculate from the information provided below (show step by step work 4 81 4

Question

37. Calculate from the information provided below (show step by step work 4 81 451.56 637.56 25 3.5 -3.5 540.56 1 100 10000 100 4865.06 1.5 121 5.25 10155 78.5 6494.74 25 0 0.5 7 Note: y y . SST-SSR+SSE a) Compute the sample regression coefficients bo and bi n(Ex2)-(EX) 4(5.25)-(-1.5)2 Ey-bi(Ex) 121-26.43 (-1.5) 40.16 -26.43 b) Compute the estimated variance of the regression and the standard error of the regression Se1-5041) x 6494.75 1610.37 Se (40.13) 1610.37 SST-10155-(121)2-649475 4-2 v161 0.37 = 40.13 (26.432 (5.25)-(1.52 5041 r2 10155 (121/4) 4 c) Compute the estimated variance of bi S2bi 18.48 341.60 d) Compute the standard error of bi v1.5041 (4-2) = V2.033-1.43-26.43 = 18.48 1-.5041 1.43 e) Test the slope coefficient using the alternative hypothesis of greater than zero and alpha 0.01 26.43> 9.925 Reject Ho. 1,2 18.51 .5 SSR 6494.75 f) What is the F-value Formular SSR-3247.38 3247.38/1/3247.38/2 2 SST-3247.38 218.51 Answer: Fail to reject. Fis less than F table value. 1l P a ge

Explanation / Answer

e)

The hypothesis can be formed as

H0 : The slope coefficient is not greater than zero
H1 : The slope coefficient is gretaer than zero

as the

stat value(26.43) is greater than critical value(9.925) , we reject the null hypothesis

f)

The F formula is
MS Regression / MS Residuall

Here
MS Regression = SSRegresion / DF Regression = 3273.60/1 = 3273.60

MS Residual = SS Residual / DF Residual = 3221.14/2 = 1610.573

so F = 3273.60/1610.573 = 2.032

as 2.032 is less than F crtical 18.51 , hence we fail to reject the null hypothesis

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.