Assume simple Regression with following data: SUM(x) = 583: SUM(Y) = 405: SUM(Y^

Question

Assume simple Regression with following data: SUM(x) = 583: SUM(Y) = 405: SUM(Y^2) = 24431; SUM (XY) = 32430, SUM(X^2) = 50843:n = 8 Given the data above, find the calculated t (i.e. the t*) A) 3.8 B) 1.45 C) 2.61 D) 0.56. Using ALPHA = 0.05, find the critical for a 2-sided test: assuming the situation described in Question (1) above. A) 1.45 B) 433 C) 0.91 D) 2.45 given your results for t* and tcalc in (1) and (2) above, do you reject or do not reject H_0: BETA1 = 0, assuming ALPHA = 0.05 .A) Reject B) Do not reject given your result in (1) above, calculate the 2-slided PV for the test BETA1 = 0. A) 0.20 B) 0.84 .c) 0.77 .D) 0.04. On the basis of your result in (4) above, if you use ALPHA = 0.10, will you reject or not reject Ho: BETA1 = 0? .A) Reject B) Do not reject given the partial information from the ANOVA table below, calculate Significance F A) 0.31. B) .47 C) 0.70 D) 0.11. given the data in (6) above, find the critical F (Fc) for ALPHA = 0.10 A) 3.59 B) 3.89 C) 7.11. D) 6.93

Explanation / Answer

1) here SSx=(sumX2-(sumx)2/n) =8356.875

SSy=(sumy2-(sumy)2/n) =3927.875

Sxy=(Sum(x,y) -(sum(x)sum(y)/n) =2915.625

hence r=(Sxy/(SSx*SSy)1/2 =0.509

for test stat t =r*((n-2)/(1-r2))1/2 =1.45

option B

2) t-critical =2.45 ; option D

3)option B do not reject

4)PV =0.20 option A

5)do not reject option B

6)F =(21.62/161.44)*(11/3)=0.47 option B

7) critical F =3.59 ; option A

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