The issue/scenario: A bio-tech firm has provided you with 1 years’ worth of sales for a sample of 45 sales staff. Some of its sales staff are engineers and others are not. You are to analyze this data to help the company determine whether there are any differences in the sales between engineers and non-engineers. Arguably, perhaps engineers are better able to answer technical questions, but may not have the same skills as others. Additionally, the company would like to use this data to obtain an estimate of its average (annual) sales and how they compare to last year. To aid you, I have provided you with the following “guiding steps”: 1)Use a bivariate tabular method to study the relationship between “Sales” and “Engineer.” Based on this analysis, are engineers better or worse than non-engineers at

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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The issue/scenario: A bio-tech firm has provided you with 1 years’ worth of sales for a sample of 45 sales staff. Some of its sales staff are engineers and others are not. You are to analyze this data to help the company determine whether there are any differences in the sales between engineers and non-engineers. Arguably, perhaps engineers are better able to answer technical questions, but may not have the same skills as others. Additionally, the company would like to use this data to obtain an estimate of its average (annual) sales and how they compare to last year.

To aid you, I have provided you with the following “guiding steps”:

1)Use a bivariate tabular method to study the relationship between “Sales” and “Engineer.” Based on this analysis, are engineers better or worse than non-engineers at Sales (higher sales are considered better)? 

Sales Engineer
113 No
98 No
76 No
101 No
120 No
131 No
66 No
98 No
83 No
75 No
87 No
96 Yes
90 Yes
117 Yes
118 Yes
95 Yes
94 Yes
119 Yes
115 Yes
99 Yes
102 Yes
129 Yes
100 Yes
111 Yes
128 Yes
104 Yes
133 Yes
125 Yes
99 Yes
90 Yes
122 Yes
62 Yes
100 Yes
123 Yes
120 Yes
71 Yes
102 Yes
89 Yes
106 Yes
80 Yes
99 Yes
104 Yes
105 Yes
105 Yes
90 Yes
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