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## Chi-square test of independence of attributes.

The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food.  For a random sample of 12 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars.  Use these data to answer questions 9 through 11.

 Store 1 2 3 4 5 6 Shelf Space 5 5 5 10 10 10 Weekly Sales 1.6 2.2 1.4 1.9 2.4 2.6

 Store 7 8 9 10 11 12 Shelf Space 15 15 15 20 20 20 Weekly Sales 2.3 2.7 2.8 2.6 2.9 3.1

1. What is the equation for the least squares line?

A) = 2.63 + 0.724x

B) = 1.45 + 0.724x

C) = 1.45 + 0.074x

D) = 2.63 - 0.174x

2. Compute the coefficient of determination.

A) 0.8270

B) 0.6839

C) 0.3081

D) 0.0009

3. Construct a 95% prediction interval estimate for the weekly sales, in hundreds of dollars, for a store with 8 feet of shelf space devoted to pet food.

A) 2.86 < y < 6.23

B) 1.31 < y < 2.77

C) -0.131 < y < 1.84

D) 1.54 < y < 4.24

A market research study was conducted to compare three different brands of antiperspirant.  The results of the study are summarized below.  Use a 5% level of significance and test the claim that opinion is independent of brand.  Use these data to answer questions 4 and 5.

 Brand Opinion A B C Total Excellent 29 37 50 116 Satisfactory 83 65 83 231 Unsatisfactory 18 9 6 33 Total 130 111 139 380

4.What is the value of the sample test statistic?

A)         x2 =19.00

B)         x2=9.49

C)         F = 0.10

D)        x2=11.91

A)         Opinion and Brand are independent

B)         Opinion and Brand are not independent

C)         Cannot determine

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