a. Estimate and report OLS parameter estimates for the equation Mr=α+β1exec+β2south+β3 ue+β4capital+β5pcy+ε b. Plot mr on...

a. Estimate and report OLS parameter estimates for the equation Mr=α+β1exec+β2south+β3 ue+β4capital+β5pcy+ε

b. Plot mr on exec, mr on ue, and mr on pcy.

c. Plot the fitted values for mr on exec, mr on ue, and mr on pcy.

d. Plot the errors for errors on exec, errors on ue, and errors on pcy.

Please download data from the link below as csv file

https://docs.google.com/spreadsheets/d/1gjvCRmxkIu7vxlGGB5ej7qMhiNzHnGSz5yX2O-TYJdI/edit?usp=sharing data is provided on link, please download as csv file

Expert Solution

The Data

mr	exec	south	ue	capital	pcy
11.6	0	1	7.5	1	13.53
9	0	0	7.6	0	18.223
8.6	2	0	6.2	1	14.285
10.2	0	1	6.2	1	12.634
13.1	1	0	9.2	1	17.295
5.8	0	0	5.2	1	16.981
6.3	0	0	6.2	1	22.236
5	0	1	5.3	1	17.261
78.5	0	1	8.5	1	23.302
8.9	3	1	7	1	16.311
11.4	2	1	5.8	1	15.205
3.8	0	0	4.2	0	18.566
2.9	0	0	6.1	1	13.833
11.4	0	0	7.4	1	17.82
7.5	0	0	5.3	1	15.176
2.3	0	0	4	1	14.435
6.4	0	0	5	1	15.679
6.6	0	1	6.2	1	13.34
20.3	1	1	7.4	1	13.122
1.6	0	0	7.9	0	14.834
12.7	0	1	6.2	1	18.885
3.9	0	0	6.9	1	19.281
9.8	0	0	7	0	16.259
3.4	0	0	5.1	0	16.571
13.5	0	1	6.3	1	11.647
11.3	4	0	6.4	1	15.448
3	0	0	6	1	13.725
11.3	0	1	4.9	1	14.747
1.7	0	0	4.3	0	13.485
3.9	0	0	2.6	1	15.539
10.4	0	0	7.2	1	18.084
2	0	0	6.6	0	17.66
5.3	0	0	7.4	1	21.229
8	0	0	7.5	1	12.912
13.3	0	0	7.7	1	19.608
6	0	0	6.5	1	15.558
8.4	0	1	6	1	13.449
4.6	0	0	7.2	1	15.353
6.8	0	0	7	1	16.8
3.9	0	0	7.7	0	16.78
10.3	0	1	7.5	1	13.318
3.4	0	0	3.5	1	14.122
10.2	0	1	5.7	1	14.565
11.9	17	1	7	1	15.122
3.1	0	0	3.9	1	12.746
3.6	5	0	5.4	1	15.353
8.3	1	1	5	1	17.103
6.9	0	1	10.8	1	12.772
5.2	0	0	7.5	1	17.199
4.4	0	0	4.7	0	15.645
3.4	0	0	5.4	1	15.576

The regression analysis (Done in Excel... Data > Data Analysis > Regression)

SUMMARY OUTPUT

Regression Statistics
Multiple R	0.638242393
R Square	0.407353352
Adjusted R Square	0.341503724
Standard Error	8.697075215
Observations	51

ANOVA
	df	SS	MS	F	Significance F
Regression	5	2339.561	467.9123	6.186115	0.000191555
Residual	45	3403.76	75.63912
Total	50	5743.322

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	-35.00801648	9.41774	-3.71724	0.000555	-53.97631801	-16.0397
exec	-0.145458912	0.494027	-0.29444	0.769779	-1.14047937	0.849562
south	9.768244592	2.898035	3.370644	0.001548	3.93130301	15.60519
ue	1.278281389	0.86191	1.48308	0.145023	-0.457694173	3.014257
capital	2.444519824	3.390438	0.721004	0.474636	-4.384173815	9.273213
pcy	1.920234313	0.521169	3.684474	0.000613	0.87054571	2.969923

1. The regression equation

Mr = -35.01 - 0.15 (Exec) + 9.77 (South) + 1.28 (Ue) + 2.44 (Capital) + 1.92 (Pcy)

2.

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