Using the multiple regression output below, determine the following: Multiple R
ID: 3074543 • Letter: U
Question
Using the multiple regression output below, determine the following: Multiple R 0.459837234 0.211450282 d R Square 0.193364279 R Square Standard Erro ervati ANOVA 5 28.643644895.728729 1169138 218 106 8191439 0.489996 223 135 4627888 5.06E-10 Regression Residual otal coefficents Standard Enort Stat P-value Lower 9596 upper 90% ntercept HSM HSS HSE SATM 0.326718739 0.399996431 0.816804 0.414932 0 461636967 1.11507 444 0.14596108 0039260974 3.717714 0.000256 0068581358 0.223340801 0.03590532 0037798412 0949916 0.343207 -003859183 0.11040247 0.055292581 0039568691 1397382 0.163719 0 022693622 0133278785 0.000843593 0.000685657 1.376187 0.170176 0000407774 0.002294959 441 Part (a): Assuming HSM, HSS, HSE, SATM, and SATV are x1, X2, Xz, X4, and x respectively, what is the equation of the fitted regression line? Part (b): Is there a linear relationship between the independent and dependent variables? Confirm this from hypothesis testing. Part (c): Find2.Explanation / Answer
1) The equation of the fitted regression line is
Y = 0.356718739 + 0.14596108HSM + 0.03590532 HSS + 0.055292581 HSE +0.000843593SATM + 0.00040795 SATV
2) H0: There is no linear relationship between the indepdent and dependent variable
H1: There is linear relationship between the indepdent and dependent variable
Let the los be alpha = 5%
P-value of Regression is < 0.05 so we reject H0
Thus we conclude that There is linear relationship between the indepdent and dependent variable
3) S^2 = Mean Square Error = 0.489996
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