Multiple Regression Analysis Assignment Paper

Multiple Regression Analysis
Multiple Regression Analysis

Multiple Regression Analysis:

1. New Data Set
2. Input Data

3. Click over to Variable View
4. Name each variable (do not put spaces)
5. Label each variable
6. Assign a measure
a. Nominal
i. This is for things like names, store, gender, type of student, etc.
b. Scale
i. This is for weight, annual sales, square footage, things on a scale

7. Next go to Analyze à Regression à Linear

8. Insert Dependent Variable and Independent Variable
a. Dependent variable is what you are trying to find out
b. Independent variable is what is being manipulated

9. Select OK
10. Data will be put in the output screen

Model Summary
Model
R
R Square
Adjusted R Square
Std. Error of the Estimate
1
.954a
.910
.893
978.44654
a. Predictors: (Constant), Square Footage, Number of Employees

ANOVAa
Model
Sum of Squares
df
Mean Square
F
Sig.
1
Regression
106209441.045
2
53104720.522
55.470
.000b

Residual
10530933.884
11
957357.626

Total
116740374.929
13

a. Dependent Variable: AnnualSales
b. Predictors: (Constant), Square Footage, Number of Employees

Coefficientsa
Model
Unstandardized Coefficients
Standardized Coefficients
t
Sig.

B
Std. Error
Beta

1
(Constant)
888.502
636.215

1.397
.190

Number of Employees
.442
11.907
.004
.037
.971

Square Footage
1.684
.171
.953
9.876
.000
a. Dependent Variable: AnnualSales

11. Write up the analysis
​a. Define the dependent variable and the predictor (independent variable).
​b. Discuss the test used (Multiple Regression)
c. R2 = .91 which means that 91% of annual sales is being predicted by BOTH the number of employees and square footage
d. F (df) = ________ , p ________ will tell us whether or not the multiple regression used to determine if the predictors affect the dependent variables was significant
​i. F (2,13) = 55.47, p < .001 tells us that the multiple regression was significant
e. Now we have to examine both predictors to determine their significance: Number of Employees and Square Footage
​i. Use t(Total) = _________ , p ________ for each predictor
Number of employees: t(13) = .04, p = .97 Ã not sig. because p is above .05
Square footage: t(13) = 9.88, p < .001 Ã sig. because p is below .05
f. The write-up must include the discussion about R2, whether or not the multiple regression test used was significant (F (df) = _________, p ______) and if the predictors were significant using t(Total) = ______ , p ______.

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