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** This table provides detailed information on 28 point-and-shoot digital cameras, categorized by brand, price, megapixels, weight, and score. **Columns:** 1. **Observation**: Sequential numbering from 1 to 28 for each camera entry. 2. **Brand**: Lists the brand, either Canon or Nikon. 3. **Price ($)**: Indicates the price of each camera in US dollars, ranging from $90 to $400. 4. **Megapixels**: The resolution of each camera, ranging from 10 to 14 megapixels. 5. **Weight (oz.)**: The weight of each camera in ounces, ranging from 4 to 7 oz. 6. **Score**: A performance score out of 100, ranging from 42 to 66. **Summary of Data:** - **Canon Cameras**: - Observations: 1 to 15 - Price Range: $90 to $330 - Megapixels: 10 to 14 - Weight: 5 to 7 oz. - Score Range: 42 to 66 - **Nikon Cameras**: - Observations: 16 to 28 - Price Range: $120 to $400 - Megapixels: 12 to 14 - Weight: 4 to 7 oz. - Score Range: 42 to 63 This table can be used to analyze the relationship between price, features, and scoring within these brands of point-and-shoot cameras.

**Managerial Report**

1. Develop numerical summaries of the data.

2. Using the 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.
- One using weight as the independent variable.

Determine which of the three independent variables appears to be the best predictor of the overall score.

3. Using simple linear regression, develop an estimated regression equation that could be used to predict the overall score based on 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 the overall score using just the price of the camera.

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