Answered: Consumer Reports tested different…

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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Consumer Reports tested different point-and-shoot digital cameras. Based upon factors such as the number of megapixels, weight (), image quality, and ease of use, they developed an overall score for each camera tested. The overall score ranges from to , with higher scores indicating better overall test results. Selecting a camera with many options can be a difficult process, and price is certainly a key issue for most consumers. By spending more, will a consumer really get a superior camera? And, do cameras that have more megapixels, a factor often considered to be a good measure of picture quality, cost more than cameras with fewer megapixels? Table 14.13 shows the brand, average retail price (), number of megapixels, weight (), and the overall score for Canon and Nikon subcompact cameras tested by Consumer Reports (Consumer Reports website, February 7, 2012).

Table 14.13Data for Point-and-Shoot Digital Cameras

Transcribed Image Text:TABLE 14.13 DATA FOR 28 POINT-AND-SHOOT DIGITAL CAMERAS Price ($) Weight (oz.) Observation Brand Megapixels Score Canon 330 10 66 2 Canon 200 12 5 66 Canon 300 12 65 Canon Canon 200 180 10 12 62 62 5 6. Canon 200 12 61 Canon 200 14 60 Canon 130 10 60 Canon 130 12 59 55 10 Canon 110 16 11 Canon 90 14 5 52 12 Canon 100 10 51 13 Canon 90 12 46 14 Nikon 270 16 5 65 15 Nikon 300 16 63 16 Nikon 200 14 61 17 Nikon 400 14 59 18 Nikon 120 14 5 57 19 Nikon 170 16 56 20 21 Nikon 150 230 12 14 56 Nikon 55 22 Nikon 180 12 53 23 Nikon 130 12 53 24 Nikon 80 12 52 25 Nikon 80 14 50 26 Nikon 100 12 46 27 Nikon 110 12 45 28 Nikon 130 14 42 7454 .234tn

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1. Develop numerical summaries of the data.
2. Using overall score as the dependent variable, develop
three scatter diagrams, one using price as the independent
variable, one using the number of megapixels as the
independent variable, and one using weight as the
independent variable. Which of the three independent
variables appears to be the best predictor of overall score?
3. Using simple linear regression, develop an estimated
regression equation that could be used to predict the overall
score given the price of the camera. For this estimated
regression equation, perform an analysis of the residuals
and discuss your findings and conclusions.
4. Analyze the data using only the observations for the
Canon cameras. Discuss the appropriateness of using simple
linear regression and make any recommendations regarding
the prediction of overall score using just the price of the
camera.

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