The following 7 questions are based on this:

The CIO of an IT company would like to investigate how a software developer's work experience, professional certifications, and knowledge of various computer languages, contribute to his/her work performance. He collects the following data from 20 software developers in his company:

• the number of years one has worked (Years of experience)
• the number of professional certificates one has received (Num of certificates)
• the number of programming languages (e.g. Java, C#,...) that one knows (Num of ProgLang)
• One's work performance score (Performance). The higher one's score, the better his/her work performance.

The CIO runs a regression model to test the effect of these factors on one's work performance. The data and the regression output are given below. You don't need to run a regression.

Employee ID	Years of experience	Num of certificates	Num of progLang	Performance
1	27	3	8	880
2	11	1	2	686
3	6	2	1	681
4	21	3	4	877
5	26	3	4	975
6	21	3	4	902
7	18	3	3	900
8	15	2	5	882
9	x	2	3	775
10	5	y	3	650
11	17	2	z	908
12	14	2	4	687
13	15	3	4	891
14	7	2	3	566
15	5	3	1	959
16	13	2	5	793
17	11	2	4	778
18	31	3	7	975
19	16	2	5	846
20	12	3	6	779

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.805
R Square	XX
Adjusted R Square	0.58
Standard Error	75.51
Observations	20

ANOVA
	df	SS	MS	F	Significance F
Regression	3	168001	56000	XX	0.001
Residual	16	91223	5701
Total	19	259225
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	556.83	67.11	8.30	0.00	414.56	699.09
Years of experience	9.26	3.78	XX	0.03	1.26	17.27
Num of certificates	82.20	31.91	XX	0.02	14.56	149.84
Num of progLang	-17.58	13.81	-1.27	XX	-16.87	11.70

Question 1

The CIO wants to predict the performance of a job applicant that has 16 years of work experience, holds 3 certificates, and knows 2 programming languages. Based on the regression output, what is the predicted performance?

a) 856

b) 900

c) 996

d) None of the choices

e) 916

Question 2

What is calculated value of the t-test statistic for the Years of Experience variable?

a) 3.23

b) 6.59

c) 8.30

d) None of the choices

e) 2.45

Question 3

What is calculated value of the F-test statistic?

a) None of the choices

b) 8.70

c) 2.45

d) 6.59

e) 9.82

Question 4

What is the R-Square of the regression model?

a) 0.930

b) 0.648

c) 0.160

d) None of the choices

e) 0.250

Question 5

Which of the following coefficient indicates the highest correlation between two variables:

a) -0.1

b) -0.95

c) None of the choices

d) 0.90

e) 0.8

Question 6

Which of the following predictors were found to be significant at 0.05 significance level?

a) Years of experience and Num of progLang

b) None of the choices

c) Years of experience and Num of certificates

d) Num of certificatesand Num of progLang

e) Years of experience, Num of certificates, and Num of progLang

Question 7

Which statement is correct at 0.05 significance level?

a) Do not reject the hypothesis for T-test in Num of certificates

b) None of the choices

c) Do not reject the hypothesis for T-test in Num of progLang

d) Do not reject the hypothesis for F-test

e) Do not reject the hypothesis for T-test in Year of Experience