Question

the data below show the fat and calories in fast - food hamburgers. a model was created that can estimate the number of calories in a burger when the fat co

a) explain why you cannot use that model to estimate the fat content of a burger with 600 calories.
choose the correct answer below.

a. the regression model cannot extrapolate to the prediction value.

b. the regression model was for predicting calories from fat, not the other way around.

c. the regression model was for predicting fat from calories, not the other way around.

b) using an appropriate model, estimate the fat content of a burger with 600 calories.

fat = - 16.654+0.084×calories
(round to three decimal places as needed.)
the fat content of a burger with 600 calories is
(round to one decimal place as needed.)

Explanation:

Step1: Substitute Calories value into the formula

Given the formula \(\widehat{Fat}=- 16.654+0.084\times Calories\), and \(Calories = 600\).
Substitute \(Calories = 600\) into the formula: \(\widehat{Fat}=-16.654 + 0.084\times600\).

Step2: Calculate the value

First, calculate \(0.084\times600=50.4\).
Then, calculate \(-16.654 + 50.4\).
\(-16.654+50.4 = 33.746\).

Step3: Round the result

Round \(33.746\) to one decimal place. According to the rounding rule (look at the second - decimal digit, which is \(4\lt5\)), we get \(33.7\).

Answer:

\(33.7\)