The number of megapixels in a digital camera is one of the most important factors in determining picture quality. But do digital cameras with more megapixels cost more? The following data show the number of megapixels and the price ($) for 10 digital cameras (Consumer Reports, March 2009).

a. Use these data to develop an estimated regression equation that can be used to predict the price of a digital camera given the number of megapixels.
b. At the .05 level of significance, are the number of megapixels and the price related? Explain.
c. Would you feel comfortable using the estimated regression equation developed in part (a) to predict the price of a digital camera given the number of megapixels? Explain.
d. The Canon Power Shot S95 digital camera has 10 megapixels. Predict the price of this camera using the estimated regression equation developed in part(a).

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Price ($ 180 200 Brand and Model Megapixels Canon PowerShot SD1100 IS Casio Exilim Card EX-510 Sony Cyber-shot DSC-170 10 Canon PowerShot G10 Canon PowerShot A590IS Canon PowerShot El Fujifilm FinePix F00FD Sony Cyber-shot DSC-W170 Canon PowerShot A470 120 470 140 180 310 250 110 15 10 12 10