Question

a nutrition major at wright state was studying the relationship between carbohydrates (x) and calories (y). for example, a serving of a particular brand of wheat pasta yielded 42 carbohydrates and 210 calories. after collecting x and y data on many kinds of foods, the student determined the slope of the regression line to be 4.0 and the y intercept to be 3.0. if a new food is tested, and the number of carbohydrates (x) is 100, what would be the predicted calories (y’)?

Answer 1

The predicted calories would be 403 calories.

Explanation:

We have a linear regression model relating y: calories with x: carbohydrates, which has a slope of 4.0 and a y-intercept of 3.0.

Then, the model equation is:

`y=4.0x+3.0`

With these model we can predict the calories values for any amount of carbohydrates, within the interval within which this model is valid.

If a new food is tested, and the number of carbohydrates (x) is 100, the predicted value will be:

`y(100)=4.0(100)+3.0=400+3=403`

The predicted calories would be 403 calories.