Question

The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 21.926 + 0.321x, where x = price ($) and y = overall score. Brand Price ($) Score A 180 76 B 150 69 C 95 59 D 70 54 E 70 42 F 35 24

Answer 1

The question involves analyzing the relationship between the price and overall score of stereo headphones. Using the given regression equation, we can calculate the predicted overall score for a given price.

Step-by-step explanation:

The given question involves analyzing the relationship between the price and overall score of stereo headphones, based on a regression equation. The regression equation is ŷ = 21.926 + 0.321x, where x represents the price ($) and y represents the overall score. Using this equation, we can calculate the predicted overall score for a given price.

For example, for a price of $180, we substitute x = 180 into the equation to find ŷ = 21.926 + 0.321(180) = 76.706. Therefore, the predicted overall score for headphones with a price of $180 is 76.706.