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The Question:

For some Mechanical Engineer students, data for 224 student’sGPAs in their first 4 semesters of college were compared usingseveral predictors, namely HSM, HSS, HSE, SATM, and SATV. Heresignificant level ? is 0.05.

Then, the researcher fit a regression model and got thefollowing results (intercept is included in the model):

ANOVA Table

Source

DF

Sum of Squares

Mean Squares

F ratio

Model(Reg)

(A)

(D)

(E)

(F)

Error(Residual)

(B)

105.65

0.4846433

Prob>F

Total

(C)

135.46

<0.001

            

Parameter Estimates Table

Term

Estimate

Std Error

t Ratio

Prob>|t|

Intercept

0.2187920884

0.40332538

0.54

0.5880

HSM

0.1464842907

0.03900487

(G)

0.0002

HSS

0.0274662163

0.03728366

0.74

0.4621

HSE

0.0770581216

0.03929423

1.96

0.0511

SATM

0.0009273573

0.00067983

1.36

0.1739

SATV

­.0004012914

0.00058484

-0.69

0.4933

  1. What are the values for (A), (B), (C), (D), (E), (F) and(G)?
  1. State the multiple regression model for this problem.
  1. What % of the variation in GPA are we explaining by themultiple regression?
  1. Specify the prediction equation (Include all theregressors)
  1. Determine if this is a significant model, i.e. check ANOVAtable. (If significant, then p-value < ?.) Here significantlevel ? is 0.05.
  1. Determine if each predictor variable is significant to themodel, give the reason, based on the JMP output (i.e. compare thetest statistics or p-value)

Answer & Explanation Solved by verified expert
3.8 Ratings (356 Votes)
aSourceDFSum of SquaresMean    See Answer
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