1 views Consumer Reports tested 166 different point-and-shoot digital cameras. Based upon factors such as the number of megapixels, weight (oz.), image quality, and ease of use, they developed an overall score for each camera tested. The overall score ranges from 0 to 100, 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 (oz.), and the overall score for 13 Canon and 15 Nikon subcompact cameras tested by Consumer Reports (Consumer Reports website). Managerial Report   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. Analyse 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. TABLE 14.13 Data for 28 Point-and-Shoot Digital Cameras Observation         Brand           Price       Megapixe  Weight (oz.)   Score 1                           Canon          330                    10             7           66 2                           Canon           200                   12             5            66 3                           Canon          300                    12             7            65    4                           Canon          200                    10             6             62 5                           Canon         180                      12            5              62 6                          Canon          200                      12           7               61  7                           Canon         200                      14           5              60 8                          Canon          130                      10           7               60 9                          Canon          130                      12           5               59 10                         Canon         110                       16           5              55 11                         Canon           90                      14           5                52 12                         Canon         100                       10           6               51 13                         Canon          90                       12            7               46 14                         Nikon           270                     16            5                65   15                         Nikon            300                    16            7               63 16                         Nikon           200                     14            6                61 17                         Nikon           400                     14            7               59 18                         Nikon          120                      14             5               57 19                          Nikon          170                     16             6               56 20                         Nikon          150                     12              5               56 21                         Nikon           230                     14              6               55 22                          Nikon          180                     12             6               53 23                          Nikon           130                    12             6                53 24                         Nikon            80                      12              7               52 25                        Nikon            80                       14              7               50 26                          Nikon         100                       12              4               46 27                          Nikon         110                      12              5               45 28                          Nikon         130                      14              4                 42

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Consumer Reports tested 166 different point-and-shoot digital cameras. Based upon factors such as the number of megapixels, weight (oz.), image quality, and ease of use, they developed an overall score for each camera tested. The overall score ranges from 0 to 100, 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 (oz.), and the overall score for 13 Canon and 15 Nikon subcompact cameras tested by Consumer Reports (Consumer Reports website). Managerial Report

 

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. Analyse 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.

TABLE 14.13 Data for 28 Point-and-Shoot Digital Cameras
Observation         Brand           Price       Megapixe  Weight (oz.)   Score
1                           Canon          330                    10             7           66
2                           Canon           200                   12             5            66
3                           Canon          300                    12             7            65   
4                           Canon          200                    10             6             62
5                           Canon         180                      12            5              62
6                          Canon          200                      12           7               61 
7                           Canon         200                      14           5              60
8                          Canon          130                      10           7               60
9                          Canon          130                      12           5               59
10                         Canon         110                       16           5              55
11                         Canon           90                      14           5                52
12                         Canon         100                       10           6               51
13                         Canon          90                       12            7               46
14                         Nikon           270                     16            5                65  
15                         Nikon            300                    16            7               63
16                         Nikon           200                     14            6                61
17                         Nikon           400                     14            7               59
18                         Nikon          120                      14             5               57
19                          Nikon          170                     16             6               56
20                         Nikon          150                     12              5               56
21                         Nikon           230                     14              6               55
22                          Nikon          180                     12             6               53
23                          Nikon           130                    12             6                53
24                         Nikon            80                      12              7               52
25                        Nikon            80                       14              7               50
26                          Nikon         100                       12              4               46
27                          Nikon         110                      12              5               45
28                          Nikon         130                      14              4                 42

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