AComplete the missing entries in this output to 2 decimals E

A.)Complete the missing entries in this output (to 2 decimals).

Estimated Regression Equation

Predictor

Coefficient

SE Coefficient

T

Constant

14.448

8.191

1.76

X1

-8.69

1.555

-5.57

X2

13.517

2.085

R²% 5.00

R² (Adj) % 648.83

Analysis of Variance

Source

DF

SS

     MS

F

Regression

2

324.42

   14.23      

22.79

Residual Error

???

71.17

?????

Total

7

720.0

B.) Using = .05, is a significant relationship present?

C.) Did the estimated regression equation provide a good fit to the data?

D.) Use the t test and = .05 to test H₀: ₁ = 0 and ₂ = 0.

Compute the t test statistic for ₁ (to 2 decimals).
____________ ?

What is your conclusion?
Significant relationship between length of service and job satisfaction OR No significant relationship between length of service and job satisfaction

Compute the t test statistic for ₂ (to 2 decimals).
______________________ ?

What is your conclusion?
Significant relationship between wage rate and job satisfaction   OR   No significant relationship between wage rate and job satisfaction

The regression equation is Y = 14.4 - 8.69 X1 + 13.52 X2

Solution

(A)

Following is the completed probability :

(B)

Degree of freedom of numerator is df1= 2

and  degree of freedom of numerator is df2= 5

So p-value of the test is 0.0031.

Since p-value is less than 0.05 so we can conclude that a significant relationship present.

(c)

Here r-sqaure is 45% which indicates that 45% variation in dependent variabe is accounted by the model. So it is good fit.

(d)

Here degree of freedom for t is df=8-3=5

The t test statistic for X1 is -5.57 so p-value of the test is 0.0026.

Since p-value is less than 0.05 so we reject the null hypothesis. That is conclusion:

\"Significant relationship between length of service and job satisfaction\"

------------------

The t test statistic for X2 is -6.48 so p-value of the test is 0.0013.

Since p-value is less than 0.05 so we reject the null hypothesis. That is conclusion:

\"Significant relationship between wage rate and job satisfaction\"

Source	DF	SS	MS	F
Regression	2	324.42	14.23	22.79
Residual Error	7-2=5	71.17	(71.17/5)=14.234
Total	7	720