Question

chicken sandwiches are often advertised as a healthier alternative to beef because many are lower in fat. a researcher collected data on chicken sandwiches from various fast food restaurants. the equation of the line of best - fit is calories = 189.2 + 13.3(grams of fat). find and interpret the residual for a chicken sandwich that has 20 grams of fat and 466 calories. the residual is (type an integer or a decimal.)

Explanation:

Step1: Recall residual formula

Residual = Observed value - Predicted value.

Step2: Calculate predicted calories

Given the equation \( \text{calories} = 189.2 + 13.3(\text{grams of fat}) \), for 20 grams of fat, substitute \( \text{grams of fat} = 20 \):
\( \text{Predicted calories} = 189.2 + 13.3\times20 \)
\( = 189.2 + 266 \)
\( = 455.2 \)

Step3: Calculate residual

Observed calories = 466, so residual = \( 466 - 455.2 = 10.8 \)

Answer:

10.8