Univariate analysis using simple linear regression – Coefficient Table Unstandar

Question

Univariate analysis using simple linear regression – Coefficient Table

Unstandardized Coefficients

Standardized Coefficients

Model

B

Std. Error

Beta

t

Sig.

1

(Constant)

66.204

.784

84.483

.000

Is work stressful

1.168

.528

.081

2.210

.027

Interpret the significance value for the beta coefficient for work stress.

Interpret the confidence interval for the beta coefficient for work stress.

Using the Regression Model

By substituting the values from the Coefficients table into the regression equation we can work out the predicted weight for given levels of work stress. For example:

Weight      = 0 + 1Stress

= 66.204 + (1.168 x stress)

Work stress is represented by a four category variable (see categories below):

0 = never find the work stressful

1 = occasionally find the work stressful

2 = find work stressful about half the time 3 = find work stressful all the time

What is the predicted value of weight in kilograms for employees who find their work stressful “half the time”?

What is the predicted value of weight in kilograms for employees who find their work stressful “always”

Unstandardized Coefficients

Standardized Coefficients

Model

B

Std. Error

Beta

t

Sig.

1

(Constant)

66.204

.784

84.483

.000

Is work stressful

1.168

.528

.081

2.210

.027

Explanation / Answer

a. for question 1 , we put stress=2

so, predicted value of weight =66.204+2*1.168=68.54
b for question 2 , we put stress=3

so, predicted value of weight =66.204+3*1.168=

69.708

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