Suppose 3 researcher gathered survey d3t3 from 19 employees

Suppose 3 researcher gathered survey d3t3 from 19 employees and 3sked the employees to rate their job satisfaction on a scale from 0 to 100 (with 100 being perfectly satisfied). Suppose the following d3t3 represent the results of this survey. Assume th3t relationship with supervisor is rated on a scale from 0 to 50 (0 represents a poor relationship and 50 represents an excellent relationship); overall quality of the work environment is rated on 3 scale from 0 to 100 (0 represents poor work environment and 100 rep resents an excellent work environment); and opportunities for advancement 2 is rated on 3 scale from 0 to 50 (0 represents no opportunities and 50 represents excellent opportunities). Answer the following questions: Wh3t is the regression formula? How reliable do you think the estimates will be based on this formula? Explain your answer by citing the relevant metrics. Are there any variables th3t do not appear to be good predictors of job satisfaction? How can you tell? If 3 new employee reports th3t her rel3tionship with her supervisor is 40. rates her opportunities for advancement to be 3t 30. finds the quality of the work environment to be 3t 75. and works 60 hours per week, what would you expect her job satisfaction score to be?

Solution

The regression equation is given by JS = 1.39(RS) + 0.32(OA) - 0.04(OQ) -0.09(TH) -1.47

The R² value is 0.9616 i.e., only 96.16% of the variability in Job Satisfaction is explained by this model.

c) The variable RS( relationship with Supervisor) is not a good predictor in this case

d) with the given informatoion the Job Score will be 56.8

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.980643687
R Square	0.961662041
Adjusted R Square	0.950708339
Standard Error	5.141304649
Observations	19
ANOVA
	df	SS	MS	F	Significance F
Regression	4	9282.56939	2320.642347	87.79333267	9.41183E-10
Residual	14	370.062189	26.4330135
Total	18	9652.631579
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	-1.469115885	8.116129341	-0.181011887	0.858952586	-18.87648205	15.93825028	-18.87648205	15.93825028
RS	1.390775797	0.260762575	5.333494651	0.000105561	0.831495698	1.950055895	0.831495698	1.950055895
OA	0.317368664	0.116142397	2.732582347	0.016189046	0.068267997	0.566469331	0.068267997	0.566469331
OQ	0.043295651	0.121230504	0.357134957	0.726316766	-0.216717919	0.303309221	-0.216717919	0.303309221
TH	-0.09445984	0.102220838	-0.924076163	0.37110035	-0.313701732	0.124782053	-0.313701732	0.124782053