(a) Develop a scatter diagram with price as the independent variable. A scatter diagram has 9 points plotted on it. The horizontal axis ranges from 400 to 1,400 and is labeled: Price ($). The vertical axis ranges from 50 to 85 and is labeled: Overall Score. The points are plotted from left to right in a downward, diagonal direction starting from the upper left corner of the diagram and are between 600 to 1,300 on the horizontal axis and between 60 to 85 on the vertical axis. If one compares two points with different price values, the point with the higher price value will be lower or just as low on the diagram compared to the other point. The points are fairly close together. A scatter diagram has 9 points plotted on it. The horizontal axis ranges from 400 to 1,400 and is labeled: Price ($). The vertical axis ranges from 50 to 85 and is labeled: Overall Score. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram and are between 600 to 1,300 on the horizontal axis and between 60 to 85 on the vertical axis. The third and fourth points from the left are noticeably higher on the diagram than the second and fifth points from the left. The points are somewhat scattered. A scatter diagram has 10 points plotted on it. The horizontal axis ranges from 400 to 1,400 and is labeled: Price ($). The vertical axis ranges from 50 to 85 and is labeled: Overall Score. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram and are between 600 to 1,300 on the horizontal axis and between 60 to 85 on the vertical axis. If one compares two points with different price values, the point with the higher price value will be higher or just as high on the diagram compared to the other point. The points are fairly close together. A scatter diagram has 9 points plotted on it. The horizontal axis ranges from 400 to 1,400 and is labeled: Price ($). The vertical axis ranges from 50 to 85 and is labeled: Overall Score. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram and are between 600 to 1,300 on the horizontal axis and between 55 to 80 on the vertical axis. The third and fourth points from the left are noticeably higher on the diagram than the second and fifth points from the left. The points are somewhat scattered. (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 ($) and overall score.There appears to be no noticeable relationship between price ($) and overall score. There appears to be a positive linear 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 = 53.864+0.0212x (d) Provide an interpretation of the slope of the estimated regression equation. The slope gives the change in the price for every one point decrease in the overall score.The slope gives the overall score when the price is $0. The slope gives the change in the price for every one point increase in the overall score.The slope gives the price when the overall score is 0.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 $800. Predict the overall score for this laptop using the estimated regression equation developed in part (c). (Round your answer to one decimal place.)

(a) Develop a scatter diagram with price as the independent variable. A scatter diagram has 9 points plotted on it. The horizontal axis ranges from 400 to 1,400 and is labeled: Price ($). The vertical axis ranges from 50 to 85 and is labeled: Overall Score. The points are plotted from left to right in a downward, diagonal direction starting from the upper left corner of the diagram and are between 600 to 1,300 on the horizontal axis and between 60 to 85 on the vertical axis. If one compares two points with different price values, the point with the higher price value will be lower or just as low on the diagram compared to the other point. The points are fairly close together. A scatter diagram has 9 points plotted on it. The horizontal axis ranges from 400 to 1,400 and is labeled: Price ($). The vertical axis ranges from 50 to 85 and is labeled: Overall Score. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram and are between 600 to 1,300 on the horizontal axis and between 60 to 85 on the vertical axis. The third and fourth points from the left are noticeably higher on the diagram than the second and fifth points from the left. The points are somewhat scattered. A scatter diagram has 10 points plotted on it. The horizontal axis ranges from 400 to 1,400 and is labeled: Price ($). The vertical axis ranges from 50 to 85 and is labeled: Overall Score. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram and are between 600 to 1,300 on the horizontal axis and between 60 to 85 on the vertical axis. If one compares two points with different price values, the point with the higher price value will be higher or just as high on the diagram compared to the other point. The points are fairly close together. A scatter diagram has 9 points plotted on it. The horizontal axis ranges from 400 to 1,400 and is labeled: Price ($). The vertical axis ranges from 50 to 85 and is labeled: Overall Score. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram and are between 600 to 1,300 on the horizontal axis and between 55 to 80 on the vertical axis. The third and fourth points from the left are noticeably higher on the diagram than the second and fifth points from the left. The points are somewhat scattered. (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 ($) and overall score.There appears to be no noticeable relationship between price ($) and overall score. There appears to be a positive linear 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 = 53.864+0.0212x (d) Provide an interpretation of the slope of the estimated regression equation. The slope gives the change in the price for every one point decrease in the overall score.The slope gives the overall score when the price is $0. The slope gives the change in the price for every one point increase in the overall score.The slope gives the price when the overall score is 0.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 $800. Predict the overall score for this laptop using the estimated regression equation developed in part (c). (Round your answer to one decimal place.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 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.

A scatter diagram has 9 points plotted on it. The horizontal axis ranges from 400 to 1,400 and is labeled: Price ($). The vertical axis ranges from 50 to 85 and is labeled: Overall Score. The points are plotted from left to right in a downward, diagonal direction starting from the upper left corner of the diagram and are between 600 to 1,300 on the horizontal axis and between 60 to 85 on the vertical axis. If one compares two points with different price values, the point with the higher price value will be lower or just as low on the diagram compared to the other point. The points are fairly close together.

A scatter diagram has 9 points plotted on it. The horizontal axis ranges from 400 to 1,400 and is labeled: Price ($). The vertical axis ranges from 50 to 85 and is labeled: Overall Score. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram and are between 600 to 1,300 on the horizontal axis and between 60 to 85 on the vertical axis. The third and fourth points from the left are noticeably higher on the diagram than the second and fifth points from the left. The points are somewhat scattered.

A scatter diagram has 10 points plotted on it. The horizontal axis ranges from 400 to 1,400 and is labeled: Price ($). The vertical axis ranges from 50 to 85 and is labeled: Overall Score. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram and are between 600 to 1,300 on the horizontal axis and between 60 to 85 on the vertical axis. If one compares two points with different price values, the point with the higher price value will be higher or just as high on the diagram compared to the other point. The points are fairly close together.

A scatter diagram has 9 points plotted on it. The horizontal axis ranges from 400 to 1,400 and is labeled: Price ($). The vertical axis ranges from 50 to 85 and is labeled: Overall Score. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram and are between 600 to 1,300 on the horizontal axis and between 55 to 80 on the vertical axis. The third and fourth points from the left are noticeably higher on the diagram than the second and fifth points from the left. The points are somewhat scattered.

(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 ($) and overall score.There appears to be no noticeable relationship between price ($) and overall score. There appears to be a positive linear 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 =

53.864+0.0212x

(d)

Provide an interpretation of the slope of the estimated regression equation.

The slope gives the change in the price for every one point decrease in the overall score.The slope gives the overall score when the price is $0. The slope gives the change in the price for every one point increase in the overall score.The slope gives the price when the overall score is 0.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 $800. 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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