Question

Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?

Answer 1

Using linear function concepts, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

$y = mx + b$

In which:

• m is the slope, which represents by how much y changes when x changes by 1.
• b is the y-intercept, which is the value of y when x = 0.

In this problem:

• The explanatory variable fat is the input.
• The response variable calories is the output.

The equation is:

$y = 121 + 1.42x$

• The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
• The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at brainly.com/question/16302622