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12 The distributor of cosmetics has sales representatives in various metropolitan areas all over the country. The distributor has collected data over the past year
12 The distributor of cosmetics has sales representatives in various metropolitan areas all over the country. The distributor has collected data over the past year looking for a relationship between the number of years of experience a sales representative has in cosmetic sales (X), and the monthly sales volume (Y, in dollars) for the sales representative in a given month. The data was gathered from representatives with between 0-20 years experience. A scatterplot of the data showed a positive linear association, and a simple regression model was determined. Results are given by Estimated average monthly sales volume 50,000+1,600 years of experience. Correlation -0.78; R2=0.6084; All assumptions are met. Which interpretation of these results is appropriate? O None are appropriate interpretations O The correlation implies that sales representatives with more years of experience will always achieve higher monthly sales volumes than those representatives with fewer years of experience O One additional year of sales experience would be predicted to increase the average monthly sales volume by $51,600. O Using the regression equation to predict sales for a sales representative with 25 years of experience would be an extrapolation. O The fitted line accounts for 78% of the variation in monthly sales volumes found in the data
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