Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?
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.
The amount of calories in a cheeseburger increases by 121 for every one gram of fat. The calorie amount estimated by this model is 1.42 if there are zero grams of fat.
The amount of fat in a cheeseburger increases by 121 grams for every one calorie.
The fat amount estimated by this model is 1.42 grams if there are zero calories.
The amount of fat in a cheeseburger increases by 1.42 grams for every one calorie.
The fat amount estimated by this model is 121 grams if there are zero calories.
The amount of calories in a cheeseburger increases by 1.42 when there are zero grams of fat.
The calorie amount estimated by this model is 121 if there is one gram of fat.

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:

[tex]y = mx + b[/tex]

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:

[tex]y = 121 + 1.42x[/tex]

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 https://brainly.com/question/16302622