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Analyzing Creativity-Sales & Predicting Calories from Fat - MATH 130 Worksheet 4 - Prof. A, Assignments of Statistics

Two statistical analysis tasks. The first task involves investigating the relationship between creativity scores and sales growth performance in a large company. The second task deals with predicting the number of calories in a fast-food menu item based on its fat content. Scatterplots, correlation coefficients, and regression equations.

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2009/2010

Uploaded on 02/24/2010

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MATH 130: Worksheet 4 February 4th, 2010 Name:
Show all work. Please answer neatly on an attached paper. Unsupported answers may
receive no credit.
1. (4 points) Do creative people make better salespeople? Ten sales staff in a large company
were given a creativity test (scores range from 0 to 20, with higher scores indicating
greater creativity) and were evaluated regarding sales growth performance (a score of
100 indicates an average performance, and larger scores indicate better performance).
The creativity scores and sales growth performance scores are given below.
Creativity Score Sales Growth
9 93
7 89
8 95
13 101
10 102
10 96
9 95
18 111
10 103
14 107
We want to investigate if creative people tend to perform better with regard to sales
growth.
(a) Draw a scatterplot of the data. (Make sure to label the axis appropriately.)
(b) Describe the form, direction, and strength of the relationship.
(c) Find the correlation r between creativity score and sales growth.
(d) What does this suggest about the association between creativity score and sales
growth?
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Download Analyzing Creativity-Sales & Predicting Calories from Fat - MATH 130 Worksheet 4 - Prof. A and more Assignments Statistics in PDF only on Docsity!

MATH 130: Worksheet 4 February 4th, 2010 Name: Show all work. Please answer neatly on an attached paper. Unsupported answers may receive no credit.

  1. (4 points) Do creative people make better salespeople? Ten sales staff in a large company were given a creativity test (scores range from 0 to 20, with higher scores indicating greater creativity) and were evaluated regarding sales growth performance (a score of 100 indicates an average performance, and larger scores indicate better performance). The creativity scores and sales growth performance scores are given below.

Creativity Score Sales Growth 9 93 7 89 8 95 13 101 10 102 10 96 9 95 18 111 10 103 14 107

We want to investigate if creative people tend to perform better with regard to sales growth. (a) Draw a scatterplot of the data. (Make sure to label the axis appropriately.) (b) Describe the form, direction, and strength of the relationship. (c) Find the correlation r between creativity score and sales growth. (d) What does this suggest about the association between creativity score and sales growth?

  1. (4 points) In a study, fast-food menu items were analyzed for their fat content (mea- sured in grams) and calorie content. The goal is to predict the number of calories in a menu item from knowing its fat content.

The equation of the least-squares regression line is: Calories = 204 + 11.4x (Fat)

The correlation between Calories and Fat is r = .979. Hence, r^2 = .958. Finally, the average number of calories in menu items is 663, and the average fat content in menu items is 40 grams. (a) We might feel comfortable using the least-squares regression equation to predict calories for a menu item having fat content in what range?

(b) The least-squares line would predict that a menu item with 40 grams of fat would have how many calories?

(c) What % of the variation in calories for menu items is explained by the regression on Fat content? (d) What is the residual corresponding to the value marked by *? [Assume this point is at (43 g, 850 cal) ]

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