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?

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Answer:

5.5kg

Step-by-step 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

[tex]4.5+0.25x =y[/tex]

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

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

[tex]y (4) = 1+4.5 = 5.5[/tex]

Weight gain = 5.5 kg.

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