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c. At the 0.05 significance level, can we conclude there is a significant positive correlation? places.) Ho:psO H:p>0

c. At the 0.05 significance level, can we conclude there is a significant positive correlation? places.) Ho:psO H:p>0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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The Cotton Mill is an upscale chain of women's clothing stores, located primarily in the southwest United States. Due to recent success, Cotton Mill's top management is planning to expand by locating new stores in other regions of the country. The director of planning has been asked to study the relationship between yearly sales and the store size. As part of the study, the director selects a sample of 25 stores and determines the size of the store in square feet and the sales for last year. The sample data follow. The use of statistical software is suggested. Store Size Store Size (thousands of Sales (thousands of square feet) Sales square feet) 3.7 (millions $). (millions $) 9.18 0.55 2.0 4.58 8.22 4.2 7.56 5.0 0.7 3.1 2.23 1.45 6.51 2.6 4.49 2.6 5.2 3.3 3.2 2.9 06 6 2.82 8.93 5.2 10.45 6'S 3.0 09 L 3.71 9.94 4.43 5.5 5.47 2.4 4.75 8.22 2.4 7.30 2.2 7.17 0.5 3.33 2.3 4.35 6.76 I Click here for the Excel Data File a-1. Draw a scatter diagram. 1. On the graph below, use the point tool to plot the point corresponding to the first Store Size and her Sales (Size 1). 2. Repeat the process for the remainder of the sample (Size 2, Size 3, ... ). 3 To enter evact coordinates double-click on the noint and enter the evact coordinates of vand v Prev 1 of 10 Next > Ch13_40 18e.xlsx
Transcribed Image Text:The Cotton Mill is an upscale chain of women's clothing stores, located primarily in the southwest United States. Due to recent success, Cotton Mill's top management is planning to expand by locating new stores in other regions of the country. The director of planning has been asked to study the relationship between yearly sales and the store size. As part of the study, the director selects a sample of 25 stores and determines the size of the store in square feet and the sales for last year. The sample data follow. The use of statistical software is suggested. Store Size Store Size (thousands of Sales (thousands of square feet) Sales square feet) 3.7 (millions $). (millions $) 9.18 0.55 2.0 4.58 8.22 4.2 7.56 5.0 0.7 3.1 2.23 1.45 6.51 2.6 4.49 2.6 5.2 3.3 3.2 2.9 06 6 2.82 8.93 5.2 10.45 6'S 3.0 09 L 3.71 9.94 4.43 5.5 5.47 2.4 4.75 8.22 2.4 7.30 2.2 7.17 0.5 3.33 2.3 4.35 6.76 I Click here for the Excel Data File a-1. Draw a scatter diagram. 1. On the graph below, use the point tool to plot the point corresponding to the first Store Size and her Sales (Size 1). 2. Repeat the process for the remainder of the sample (Size 2, Size 3, ... ). 3 To enter evact coordinates double-click on the noint and enter the evact coordinates of vand v Prev 1 of 10 Next > Ch13_40 18e.xlsx
c. At the 0.05 significance level, can we conclude there is a significant positive correlation? (Round your answers to 3 decimal places.) H: p>0 Reject Ho if t> Ces %3D Ho is rejected There is a significant positive correlation between store size and sales. Prey 1 of 10 Next > e.xlsx Ch13 40 18e.xlsx
Transcribed Image Text:c. At the 0.05 significance level, can we conclude there is a significant positive correlation? (Round your answers to 3 decimal places.) H: p>0 Reject Ho if t> Ces %3D Ho is rejected There is a significant positive correlation between store size and sales. Prey 1 of 10 Next > e.xlsx Ch13 40 18e.xlsx
Expert Solution
Step 1

Correlation:

Software procedure for correlation in EXCEL.

  • Enter the given data in EXCEL sheet.
  • Go to Data > Data Analysis > Correlation.
  • Select store size and sales column as input ranges
  • Select Labels check box.
  • Click OK

 

The output is given below:

Statistics homework question answer, step 1, image 1

Correlation coefficient r=0.6581.

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