Consumer Reports provided extensive testing and ratings for more than 100 HDTVs. An overall score, based primarily on picture quality, was developed for each model. In general, a higher overall score indicates better performance. The following (hypothetical) data show the price and overall score for the ten 42-inch plasma televisions (Consumer Report data slightly changed here):
Brand Price Score
Dell 2800 60
Hisense 2800 55
Hitachi 2700 45
JVC 3500 50
LG 3300 55
Maxent 2000 38
Pansonic 4000 67
Phillips 3000 56
Proview 2500 32
Samsung 3000 40
Use the above data to develop and estimated regression equation. Compute Coefficient of Determination and correlation coefficient and show their relation. Interpret the explanatory power of the model. Estimate the overall score for a 42-inch plasma television with a price of $3800.