(b) Estimate the least squares linear equation for Profit from Sales on Number of Accounts. Interpret the fitted intercept and slope; be sure to include their units. Note if either estimate represents a large extrapolation and is consequently not reliable. Complete the equation for the fitted line below. Estimated Profit from Sales ($)=+ Number of Accounts (Round te

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A firm that operates a​ large, direct-to-consumer sales force would like to implement a system to monitor the progress of new agents. A key task for agents is to open new​ accounts; an account is a new customer to the business. To build such a​ system, the firm has been monitoring sales of new agents over the past 2 years. The response of interest is the profit to the firm​ (in dollars) of contracts sold by agents over their first year. Among the possible predictors of this performance is the number of new accounts developed by the agent during the first 3 months of work.

Full data set
Number of
Profit from
Number of
Profit from
Accounts
Sales ($)
Accounts
Sales ($)
22
10281.55
8
8362.01
16
18385.34
31
8949.67
38
21314.51
10174.37
15
10885.75
14
10663.59
30
19285.85
11075.56
39
32943.84
16
2813.37
28
29197.88
18
17098.43
18
20295.05
46
30101.63
33
26107.84
40
31309.58
41
31009.73
17
21898.95
2841.71
11
17523.33
11
14864.27
25
11543.18
22
15151.75
18
16485.06
14
12515.85
18792.18
11768.79
25
16101.28
12
14918.25
37
35794.88
22151.57
25
23264.52
30
28802.45
25
28938.07
00
Transcribed Image Text:Full data set Number of Profit from Number of Profit from Accounts Sales ($) Accounts Sales ($) 22 10281.55 8 8362.01 16 18385.34 31 8949.67 38 21314.51 10174.37 15 10885.75 14 10663.59 30 19285.85 11075.56 39 32943.84 16 2813.37 28 29197.88 18 17098.43 18 20295.05 46 30101.63 33 26107.84 40 31309.58 41 31009.73 17 21898.95 2841.71 11 17523.33 11 14864.27 25 11543.18 22 15151.75 18 16485.06 14 12515.85 18792.18 11768.79 25 16101.28 12 14918.25 37 35794.88 22151.57 25 23264.52 30 28802.45 25 28938.07 00
(b) Estimate the least squares linear equation for Profit from Sales on Number of Accounts. Interpret the fitted intercept and slope; be sure to include their units. Note if either estimate represents a large
extrapolation and is consequently not reliable.
Complete the equation for the fitted line below
Estimated Profit from Sales ()= + Number of Accounts
(Round to two decimal places as needed.)
Transcribed Image Text:(b) Estimate the least squares linear equation for Profit from Sales on Number of Accounts. Interpret the fitted intercept and slope; be sure to include their units. Note if either estimate represents a large extrapolation and is consequently not reliable. Complete the equation for the fitted line below Estimated Profit from Sales ()= + Number of Accounts (Round to two decimal places as needed.)
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