Question

A study was conducted to investigate the relationship between soda consumptions (servings per day) and weight gain (kgs) over a 2 year period and yielded the following linear regression results: weight gain over a 2 year period (kgs) = 4.5 + 0.25(servings of soda per day) what is the predicted weight gain over a 2 year period for someone that drinks 4 servings of soda per day?

Answer 1

5.5kg

Explanation:

Given that in a study conducted to investigate the relationship between soda consumptions (servings per day) and weight gain (kgs) over a 2 year period and yielded the following linear regression results:

Let y = weight gains over a two year period (kg) and

x = servings of soda per day

Then the regression equation estimated is

`4.5+0.25x =y`

Using this we can find unknown y for a given x.

When x =4 we get y by substituting x =4 in the equation

`y (4) = 1+4.5 = 5.5`

Weight gain = 5.5 kg.