The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. A random sample of 12 equal-sized stores is selected, with the following results a. Construct a scatter plot b. Calculate the Pearson Correlation Coefficient r. Explain your answer. c. At 5% significance level, is there evidence of a linear relationship between shelf space and sales? (use t-test for correlation coefficient)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
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The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. A random sample of 12 equal-sized stores is selected, with the following results a. Construct a scatter plot b. Calculate the Pearson Correlation Coefficient r. Explain your answer. c. At 5% significance level, is there evidence of a linear relationship between shelf space and sales? (use t-test for correlation coefficient)
Store
Shelf space (X) (feet)
Weekly sales (Y) ($)
1
5
160
2
5
220
3
5
140
4
10
190
5
10
240
10
260
7
15
230
8
15
270
15
280
10
20
260
11
20
290
12
20
310
Transcribed Image Text:Store Shelf space (X) (feet) Weekly sales (Y) ($) 1 5 160 2 5 220 3 5 140 4 10 190 5 10 240 10 260 7 15 230 8 15 270 15 280 10 20 260 11 20 290 12 20 310
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