MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The ABC corporation is opening new retail sales outlets and they want to staff these stores with employees most likely to be successful at selling the products. To meet this goal, ABC decides to study the sales staff at existing stores to determine if intelligence and extroversion (i.e., a friendly and outgoing personality) predict sales performance of current employees. ABC's logic is that if intelligence and extroversion predicts sales performance, then a good strategy for new stores is to hire intelligent extroverts for the sales positions.

To conduct the study, all current retail sales employees at existing stores take psychological tests designed to measure intelligence and extroversion. Also, past sales performance data is checked for each employee. In the end, there are three scores for each sales person:

1. an intelligence score (on a scale of 50-low intelligence to 150-high intelligence),

2. an extroversion score (on a scale of 15-low extroversion to 30-high extroversion), and

3. sales performance expressed as the average dollar amount sold per week.

 

Sales Person

Intelligence

Extroversion

$ Sales/Week

1

89

21

2625

2

93

24

2700

3

91

21

3100

4

122

23

3150

5

115

27

3175

6

100

18

3100

7

98

19

2700

8

105

16

2475

9

112

23

3625

10

109

28

3525

11

130

20

3225

12

104

25

3450

13

104

20

2425

14

111

26

3025

15

97

28

3625

16

115

29

2750

17

113

25

3150

18

88

23

2600

19

108

19

2525

20

101

16

2650

Test 0.05 level of significance if intelligence and extroversion can be used to forecast the sale performance. 

Determine the following:
R = ?

Intercept = ?

Intelligence = ?

Extrovesrsion = ?

MSRESIDUAL = ?

MSREGRESSION = ?

FRATIO = ?

 

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