10.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 (X) Score (Y)

Dell 2900 53

Hisense 2800 51

Hitachi 2700 45

JVC 3500 60

LG 3300 57

Maxent 2000 30

Panasonic 4200 67

Phillips 3100 56

Proview 2500 32

Samsung 3000 49

Use the above data to develop and estimated regression equation and interpret the coefficients. 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 $3200. Finally, test the significance of the slope coefficient. (Note that you need to provide necessary interpretations to get full points).