I need help with Question 9, problem A. Please see attached picture of the problem. I need help running the regression in SPSS using Syntax.

408 PAKI' 2 lMulliple Regression Analysis: Explanation 8. In a study consisting of four groups, each with ten subjects, the following results were obtained: 17. = 15.5 7, = 12.0 E = 16.0 74 = 11.5 MSR = 7.15 (a) Write the regression equation that will be ob- tained if effect coding is used. Assume that sub- jects in the fourth group are assigned 1's. (b) What are the effects of the four treatments? (c) What is the residual sum of squares? (d) What is the regression sum of squares? [Hint Use the treatment effect in (b)] (e) What is R\"? (i) What is the overall 1\" ratio? (g) Do Scheffe tests for the following comparisons, using a. = .05: (1) between]. and X1; (2) be- tween the mean of_Y1_and_ Y2, and 1'3; (3) be tween the mean of Y1, Y2, Y', and Y;. W: A researcher studied the regression of attitudes (0' ward school busing on political party afliation, She administered an attitude scale to samples of ConservA atives, Republicans. Liberals. and Democrats. and obtained the following scores. The higher the score, the more favorable the attitude. (The scores are illustrative.) Conservatives Republicans Liberal: Democrats 2 3 5 4 3 3 5 5 4 4 5 5 4 4 7 7 a 5 7 7 6 6 9 7 7 g 10 9 7 3 10 9 8 9 11 10 8 10 12 10 l to) Using dummy coding, do a regression analysis of these data. Calcuhtte (1) R2; (2) 55M; (3) SS\": (4) the regression equation; (5) the overall F ratiol (b) Using effect coding, do a regression analysis of these data Calculate the same statistics as in (a). ANSWERS (c) Using the regression equations obtained under (a) and (b). calculate the means of the four groups (d) Calculate F ratios for the following comparisons: (1) between Conservatives and Republicans; (2) between Liberals and Democrats; (3) between the mean of Conservau'ves and Republicans, and that of Liberals and Democrats; (4) between the (e) (f) (g) (h) Assume that the researcher advanced the follow mean of Conservatives, Republicans, and De- mocrats, and the mean of Liberals, Taken together, what type of comparisons are 1, 2, and 3 in (d)'.7 Assuming that the researcher wished to use the Scheffe test at at = .05 for the comparisons under (d), what F ratio must be exceeded so that a comparison would be declared statistically signicant? Using the regression coefcients obtained from the analysis with effect coding under (d), and (3* [if you don't have access to a computer program that reports C, use C' given in the answers, under (g)] calculate F ratios for the same com- parisons as those done under (d). In addition, cal. culate F ratios for the following comparisons l) . between Republicans and Democrats; (2) be) tween Liberals and Democrats, against the Conservatives. ing a priori hypotheses: that Republicans have more favorable attitudes toward school busing than do Conservatives; that Liberals are more f vorable than Democrats; that Liberals and De- mocrats are more favorable toward school busing than Conservatives and Republicans. Use orthogonal coding to express these hy- potheses and do a regression analysis. Calculate the following: (1) R1; (2) the regression equa- tion; (3) the overall Fmtio; (4) 1 ratios for each of the b's; (5) regression sum of squares due to each hypothesis; (6) residual sum of squares; (7) F ra- tios for each hypothesis; (8) What should each of these F ratios be equal to? (9) What should the average of these F ratios be equal to? Interpret the results obtained under (a)-(h). CHAPTER 11 IA Categorical Independent Variable: Dummy Eject, and Orthogonal Coding 3. 5 41 W ' ' hen one wrshm to test the difference between the mean of each experimental group and the mean of a control group. 5. (a) )7), = 14. 17,, = 13, 17A, = 6. 7c = s (b) .33 5. (a) 54275 (b) 32.44444 (0) 27.33333 (d) I" - 300 + 3.00m + .3317) (e) F = .90, with 2 and 15 df 409 (r) r forbm (1.2., the difference between 17\" and it) is 3.85. with is 4r. p