Question

U F A B D E 1 Point_Differential_(y) Assists (x1) Rebounds (x2) Turnovers_(x3) Personal_Fouls_(x4) 2 1 10 18 17 26 3 12 16 12 17 15 4 23 14 30 13 15 5 - 7 8 12 18 22 6 13 16 12 13 121 7 5 8 14 12 17 8 2 4 20 20 20 9 17 13 30 15 26 10 -5 8 12 15 21 11 9 9 17 11 19 12

a) Construct a regression model using all four independent variables. (Round to three decimal places as needed.)

b) Identify the general form of the null and alternative hypotheses.

c) Find the test statistic for the coefficient of each independent variable. (Round to two decimal places as needed.)

d) Determine the appropriate critical value(s) for α=0.10. (Round to three decimal places as needed.)

e) Find the p-value for the coefficient of each independent variable. (Round to three decimal places as needed.)

f) State the conclusion for the test of significance for each independent variable.

Answer 1

) Multiple regression model yi = -7.389 + 46.473) milf (6.819 72202 + (-0.372) xi3. + (-0.562) niat Ei i=1,2,3, 41516171819.10 Bj to, B3 - B2= 33- 34-0 for at least one j = 1,2,3,4 (c) Coeff. t colue t test statistics Assist coeff → BI Rebounds coff B2 Turnovers coeff B3 personal fouls 2.997 6.203 -1.105 it value 2.997 4.203 I los 1.543 -1.543 d) critical coalue for x 20.10 is + 2, 01503 for too sided t-test 10) P value of 5. l-o.s. for each coefficient 0.030 C (0.05) 0.008 (C0.05) p2 B3 0.319 (>0.05) o. 183 ( 70.05) 84 (f) Conclusion for the test of significance for oach independent car Here Hor: B1-0. Ho2:32=0, Ho3 B3 -0 Hou-B420 If we see value of P (at 57.d.o.s). we conclude that the cariable Assist's and Rebound's significant, the are REDMI NOTE 8 AI QUAD CAMERA