Researchers conducted a survey to study how well student age

Researchers conducted a survey to study how well student age predicts number of hours worked (per week). Summary statistics of the following data set are

Mx = 21.67, sx = 2.50

My = 23.33, sy =11.69.

Age (X)

Number of Hours Worked per Week (Y)

4a. The correlation between age and number of hours worked per week is 0.63. Use it to predict the standardized number of hours worked per week at X = 35 years .

4b. Calculate the intercept of the non-standardized (raw-score) regression equation.

4c. Calculate the slope of the non-standardized (raw-score) regression equation .

4d. Use the non-standardized regression equation to predict number of hours worked for X = 27

Age (X)	Number of Hours Worked per Week (Y)
18	10
20	15
21	20
23	35
23	40
25	20

Sol) From The Excel

a) Correlation coeff= 0.63

b) The Regression Model is y= -40.05+2.925(x)

c) Slope=2.295

d) whenx=27

The Regression Model is y= -40.05+2.925(27)=38.925

SUMMARY OUTPUT

Regression Statistics
Multiple R	0.626458
R Square	0.392449
Adjusted R Square	0.240562
Standard Error	10.18773
Observations	6

ANOVA
	df	SS	MS	F	Significance F
Regression	1	268.1738	268.1738	2.583814	0.18324
Residual	4	415.1596	103.7899
Total	5	683.3333

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	-40.0532	39.65232	-1.01011	0.369583	-150.146	70.0393	-150.146	70.0393
Age (X)	2.925532	1.820012	1.607425	0.18324	-2.12763	7.978695	-2.12763	7.978695

Researchers conducted a survey to study how well student age predicts number of hours worked (per week). Summary statistics of the following data set are Mx = 2

Researchers conducted a survey to study how well student age

Solution

Get Help Now

Submit a Take Down Notice