Question

3. Given the following GPA for 4 students: 2, 3, 3, 4. Age of students are: 10, 11, 12, 15. There are 10,000 total students. Average GPA: Unknown, Standard Deviation of GPA: 0.02 and it’s Normal. d. Find Regression Line Equation. (5 points) e. If a student’s age is 13, what is the corresponding GPA? (5 points) Please show the work, thanks

Answer 1

First let's select our independent variable. As we can see age seems to be an appropriate independent variable because GPA can be affected by age not vice-versa. So X will represent age and Y will represent GPA.Then our regression calculation is-

d)

e) So now as we have our regression equation as

y = -1.286 + 0.357. x

which can written as

GPA = -1.286 + 0.357* AGE

so we can use this to predict GPA for specific age

if age is 13 the GPA would be

GPA = -1.286 + 0.357 * 13 = 3.355

I hope this helps you

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