16. Choosing a Good Camera Cameras come with many options, and it appears that the more that you want, the higher the cost of the camera Consumer Reports1 has rated n525 cameras on qualities that we consumers are looking for.

Variables that may relate to the cost of a camera are given in the following table where y5overall score, 5millionsof megapixels 1 x , 5weight of the camera 2 x , 5image quality 3 x , 5maximal focal range 4 x , and 5battery life 5 x (number of high resolution shots).

The MINITAB printout that follows displays the regression analysis of y on the predictor variables x1 through x5.

a. Write a multiple regression model using each of the x-variables as independent variables and y as the response variable.

b. Comment on the fit of the model using the statistical test for the overall fit and the coefficient of determination, R2.

c. If you were to refit the model, which predictor variables would you eliminate? Why?

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Camera Price ($) Score x 2 1. Nikon D 500 1900 79 2. Nikon D750 1800 17 77 22 21 31 24 31 X3 4 120 1240 4 120 1230 3. Cannon EOS Mark II 2300 4. Nikon D810 2800 5. Nikon D7200 1000 6. Canon EOS Rebel T5i 640 7. Pentax K1 1895 1677 78 77 74 74 222 22 34 4 105 200 36 35 4 120 1200 24 26 4 157.5 1110 73 18 72 36 10 10 30 37 4 77 8F 4 88 440 8. Canon EOS 760D Rebel 810 9. Canon EOS 6D 1400 10. Nikon D5500 11. Canon EOS 80D 1100 2288 72 72 775 70 24 17 70 24 28 2222 24 20 2272 4 216 180 29 4 105 220 4 82.5 820 4 88 300 12. Canon EOS Rebel T61 13. Canon EOS 1300D 650 69 24 23 21 4 88 180 Rebel T6 450 68 18 18 4 88 180 14. Canon EOS 800D Rebel T71 900 68 24 20 20 4 88 88 270 15. Canon Eos 7D Mark II 1500 16. Pentax K-3 II 845 17. Sony SLT AA77 || 1800 18. Pentax K-S2 525 19. Nikon D610 1500 20. Canon EOS 77D 1000 21. Sony SLT-A68 600 22. Pentax K-70 600 23. Nikon D5600 900 24. Pentax KP 1100 25. Nikon D 7500 1500 365SSORY 68 20 34 67 24 29 24 27 20 25 24 32 64 24 21 60 57 45 22222 64 24 25 24 24 24 26 21 26 DRINK 25 4434343 m 4 216 670 4 202.5 720 75 480 75 410 85 900 88 270 88 3 202 16 3 82 3 210 2 210 *Denotes missing data. Minitab ignores these six observations in its analysis.