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1. 2. Suppose that the store manager of a small rural pharmacy is doing a linear

ID: 3176000 • Letter: 1

Question

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Suppose that the store manager of a small rural pharmacy is doing a linear regression of daily sales of over-the-counter (OTC) decongestant nasal sprays on forecasted pigweed pollen count. He would like to determine if he can use a straight line equation to predict OTC decongestant nasal spray sales from the allergy forecast for pigweed pollen. The store manager records the data for five random days. The pollen forecast is for pigweed only and is given in parts per square meter (ppm Pollen forecast OTC decongestant sales (dollars) (ppm $101 14 17 $89 10 $48 $21 $47 The store manager calculates the regression equation for the data as y 6.146x 3.949. Determine the standard error of the slope of the regression line, SEb, for the data. Give your answer precise to at least three decimal places. SEb

Explanation / Answer

(1)

Given

Using excel the standard error of the slope of the regression line is

the standard error of the slope of the regression line is 1.5238

pollen forest OTC decongestant sales 14 101 17 89 10 48 5 21 7 47