(Choose I answer) (See picture) A. 125.5 B. 118.5 C. 135.5 D. 175.5 E. None of the other choices is correct Given below are the rating and performance scores of 6 laptop computers. \begin{tabular}{|c|r|r|r|r|r|r|} \hline \begin{tabular}{c} Performance \\ Score \end{tabular} & 115 & 191 & 153 & 194 & 236 & 184 \\ \hline \begin{tabular}{c} Overall \\ Rating \end{tabular} & 74 & 78 & 79 & 80 & 84 & 76 \\ \hline \end{tabular} What is the sample covariance between the performance scores and the rating?
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Performance Scores: \(115, 191, 153, 194, 236, 184\) Overall Ratings: \(74, 78, 79, 80, 84, 76\) Show more…
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DATAfile: Computer To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability, performance, display, and battery life. Higher overall scores indicate better test results. The following data show the average retail price and the overall score for ten 13-inch models. Brand & Model | Price ($) | Overall Score Samsung Ultrabook NP900X3C-A01US | 1,250 | 83 Apple MacBook Air MC965LL/A | 1,300 | 83 Apple MacBook Air MD231LL/A | 1,200 | 82 HP ENVY 13-2050nr Spectre XT | 950 | 79 Sony VAIO SVS13112FXB | 800 | 77 Acer Aspire S5-391-9880 Ultrabook | 1,200 | 74 Apple MacBook Pro MD101LL/A | 1,200 | 74 Apple MacBook Pro MD313LL/A | 1,000 | 73 Dell Inspiron I13Z-6591SLV | 700 | 67 Samsung NP535U3C-A01US | 600 | 63 (a) Develop a scatter diagram with price as the independent variable. (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a negative linear relationship between price ($) and overall score. There appears to be a positive linear relationship between price ($) and overall score. There appears to be no noticeable relationship between price ($) and overall score. (c) Use the least squares method to develop the estimated regression equation. (Round your numerical values to three decimal places). ŷ = (d) Provide an interpretation of the slope of the estimated regression equation. The slope gives the change in the price for every one point increase in the overall score. The slope gives the overall score when the price is $0. The slope gives the price when the overall score is 0. The slope gives the change in the price for every one point decrease in the overall score. The slope gives the change in the overall score for every one dollar increase in the price. (e) Suppose the price for another laptop that Consumer Reports tested was $1,250. Predict the overall score for this laptop using the estimated regression equation developed in part (c). (Round your answer to one decimal place.)
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To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability performance, display, and battery life. Higher overall scores indicate better test results. The following data shows the average retail price and the overall score for ten 13-inch models (Consumer Reports website, October 25, 2012). Price (S): 1250 1300 1200 950 800 1200 1200 1000 700 600 Overall Score (L): Brand & Model: - Samsung Ultrabook NPOOOX3C-AOIUS - Apple MacBook Air MC96SLLIA - Apple MacBook Air MD2HILLA - HP ENVY [3-2050nr Spectre XT - Sony VAIO SVST3HZFXB - Acer Aspire S5-391-9880 Ultrabook - Apple MacBook Pro MDIOILLJA - Apple MacBook Pro MDHL3LLJA - Dell Inspiron [132-6591SLV - Samsung NPS3SU3C-AOIUS Develop a scatter diagram with price as the independent variable: What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? Use the least squares method to develop the estimated regression equation. Provide an interpretation of the slope of the estimated regression equation. Another laptop that Consumer Reports tested is the Acer Aspire S3-951-6646 Ultrabook; the price for this laptop was $700. Predict the overall score for this laptop using the estimated regression equation developed in part (c).
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Exercise 3-71 Algo Consider the following sample data: x 10 14 15 16 18 y 15 14 19 16 22 a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b. Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
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