Manufacturer Screen Size (inches) Price ($) Sharp Samsung Samsung 46 736.5 52 1150 46 895 Sony 40 625 Sharp 42 773.25 Samsung Samsung Sharp 46 961.25 40 686 37 574.75 Sharp 46 1000 Sony 40 722.25 Sony 52 1307.5 Samsung 32 373.75 Sharp 37 657.25 Sharp 32 426.75 Sharp Samsung 52 1389 40 874.75 Sharp 32 517.5 Samsung 52 1475 Sony 40 954.25 Sony 52 1551.5 Sony 46 1303 Sony 46 1430.5 Sony 52 1717

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 11SC: Find the mean hourly cost when the cell phone described above is used for 240 minutes.
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All analysis, calculations, and explanations must be done in a single Excel file (use separate Excel sheets for each question). Upload the completed Excel file using the file extension format Lastname_Firstname_RegressionProblem.
Regression Problem
Sarah Anderson, the business analyst at TV Revolution, is conducting research on the dealership’s various television brands. She has collected data over the past year (2022) on the manufacturer, screen size, and price of various television brands. The data is given in the file below.
You have been hired as an intern to run analyses on the data and report the results back to Sarah; the five questions that Sarah needs you to address are given below.
 
  1. Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship.
  2. Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship.
  3. Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. (In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size).
  4. Include the manufacturer dummy variable (Samsung=1, 0 otherwise) and estimate the relationship between screen size, price and manufacturer dummy as a multiple linear regression model.
  5. Interpret the slope coefficients and their significance from your output in part (4). Include the following in your interpretation: Is the relationship between screen size and price positive, negative, or zero? Is the relationship between screen size and price statistically significant? Is the relationship between brand and price (Samsung or not Samsung) statistically significant?
Manufacturer
Screen Size (inches) Price ($)
Sharp
Samsung
Samsung
46
736.5
52
1150
46
895
Sony
40
625
Sharp
42
773.25
Samsung
Samsung
Sharp
46 961.25
40
686
37 574.75
Sharp
46
1000
Sony
40 722.25
Sony
52
1307.5
Samsung
32 373.75
Sharp
37 657.25
Sharp
32 426.75
Sharp
Samsung
52
1389
40 874.75
Sharp
32
517.5
Samsung
52
1475
Sony
40 954.25
Sony
52 1551.5
Sony
46
1303
Sony
46 1430.5
Sony
52
1717
Transcribed Image Text:Manufacturer Screen Size (inches) Price ($) Sharp Samsung Samsung 46 736.5 52 1150 46 895 Sony 40 625 Sharp 42 773.25 Samsung Samsung Sharp 46 961.25 40 686 37 574.75 Sharp 46 1000 Sony 40 722.25 Sony 52 1307.5 Samsung 32 373.75 Sharp 37 657.25 Sharp 32 426.75 Sharp Samsung 52 1389 40 874.75 Sharp 32 517.5 Samsung 52 1475 Sony 40 954.25 Sony 52 1551.5 Sony 46 1303 Sony 46 1430.5 Sony 52 1717
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