Description
This week’s assignment requires that you demonstrate the relationship between a dependent variable and multiple independent variables. You will be required to use the least squares approach as well as use software (SPSS preferred) to perform analyses that will yield the multiple coefficient of determination and multiple linear regression analysis. Your submission should demonstrate thoughtful consideration of the ideas and concepts presented in the course.
Please use the above statement to assist in answer the questions in the attached document.
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Explanation & Answer

Attached.
Running Head: WEEK 8 ASSIGNMENT
1
Week 8 Assignment
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Course
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Date
WEEK 8 ASSIGNMENT
Question 1
a) 𝑦̂ = 3.4 − 4.6𝑥1 + 2.7𝑥2 + 0.93𝑥3 ; n =30; 𝛽̂2 = 1.86 ; 𝛽̂3 = 0.29,
H0: β2 = 0
Ha: β2 ≠0.
P value β2 = β2/SE β2 = 2.7/1.86 = 1.4516
t –crit = (0.05, 30-3-1) = 2.056
t-calc (1.4516) < t-crit (2.056) Fail to reject H0.
b) 𝑦̂ = 3.4 − 4.6𝑥1 + 2.7𝑥2 + 0.93𝑥3 ; n =30; 𝛽̂2 = 1.86 ; 𝛽̂3 = 0.29
H0: β3 = 0
Ha: β3 ≠0.
t-calc β3 = β3/SE β3 = 0.93/0.29 = 3.207
t –crit = (0.05, 30-3-1) = 2.056
t-calc (3.207) > t-crit (2.056). reject H0.
c) The standard error for β3 is less than the standard error for β2 hence β3 is more significant
in predicting the model despite having a smaller coeffici...
