Data Table:

Profit_from_Sales Number_of_Accounts 23248.39 46 35347.43 10 27384.29 83 19946.44 7 8201.63 12 35757.84 169 19386.39 10 39931.42 22 18165.13 16 17813.03 15 16141.71 14 33833.27 23 35746.25 33 17043.17 19 25808.56 28 25910.96 72 33035.56 21 10157.41 13 59928.04 489 30807.71 136 25407.95 18 4508.74 2 40696.58 37 18013.02 6 14866.23 10 35936.01 31 12825.21 7 48987.22 25 33015.75 26 32611.79 42

A firm that operates a large, direct-to-consumer sales force would like to put in place 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. The goal is to identify"superstar agents" as rapidly as possible, offer them incentives, and keep them with the company. To build such a system, the firm has been monitoring sales of new agents over the past two 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 three months of work. Formulate the SRM with Y given by the natural log of Profit from Sales and X given by the natural log of Number of Accounts. Complete parts (a) through (d) below.

(a) Find the test statistic. (Round to two decimals places as needed)

t =

Determine the p-value. (Round to four decimal places as needed)

p=

(c) If a sales representative opens 150 accounts, what level of sales would you predict for this individual? Express your answer as an interval. (Use 95%.)

__ to __ dollars (Round to two decimals places as needed)

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