63225 1 3099 Bvalue Lower 0..5326 0.734290 0. 3635 0.11426 3 29377 0.00139 0 149

Question

63225 1 3099 Bvalue Lower 0..5326 0.734290 0. 3635 0.11426 3 29377 0.00139 0 14954 031 00123 00003 404636 0.00011 .00063 0018 00063 .0018 The above rogression table was formed using the High school GPA, SAT scones, and Quality of leters as ee X varablies to predict Colege GP school GPA, X2 SAT scores, X3 Quality of leters, and Y College GPA. Answer questions 1 to 12 ( arlabie LetXi-High 1. Use the coefficients Oighlighted) on the table and the variables, X1, X2, X3, and Y to form a multiple regression equation. Which of the tollowing is true of that equation? ( Round the coefficients to four decimal places) (8.25 poin a . 0.1 533Y-03784X1·0.001 2X2+ 0.02270 b.Y--0.1533+03764x1 +0.0012+0 02273 . Y-0.3764 X1 + 0 001ZQ + 002270 + 0.1533 Cd, Y-037640 +00012X2 +0.0 227X1 . 0.1533 2. The coefficient,-0.153a, is also known as the:(625 portal 6 8 command option

Explanation / Answer

Here' the answer to the question with full concept. Please don't hesitate to give a "thumbs up" in case you're satisfied with the answer

1.

b. is the right answer. Look at the coefficients highlighted in yellow in the last table

2. c. is correct. -.1533 is the Y-intercept

3. b. is true. These are slopes, they are coefficients of the variables X1, X2 and X3

4. Y is the dependent variable- College GPA. b. is the right interpretation of the
coefficient of .3764

5. b is the correct interpretation. College GPA is the dependent variable

6. College GPA is = .153 when all other variable X1, X2 and X3 are equal to 0

7. So, that' b. b is correct, just sub the value of X1, X2 and X3 in the 1.b) option

8. Y = .1532+.3764*3.4 + .0012*1600 + .0227*9 =3.56. b. is correct option

9. c. is correct. Standard error is right metrics for error estimates.

10. Y = -.1532+.3764*3.4 + .0012*1600 + .0227*9 = 3.25. a is correct

Xbar +/- Z*Sigma/sqrt(n)
=3.25 +/- 1.96*sqrt(22.21/(100-2)) = 2.66 to 4.5

11. The answer is the prediction interval whose lower and upper bounds average to Xbar or 3.25
The only option where this happens is a. (2.66, 3.84)

12. 1.5*.3764 = ~.56. d. is correct

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