Help me out with specific steps and calculation to this ques

Help me out with specific steps and calculation to this question. Lots of thanks!

The following equation is an estimated regression equation, given in the form Y-hat = ?0-hat + ?1-hatX1, or what your book calls y-hat = a + bx: Y-hati = 545.25 + 131.85Xi where Y is combined math and verbal SAT score, measured so that 1 = 1 point, etc. (possible range is from 400 points -1600 points) X is high school Grade Point Average (GPA), measured so that 4.0 = A, 3.0 = B, etc. Below is some information provided by the computer program that estimated this equation. Answer the following questions for the equation.

What is the estimated intercept? [1 point]

What is the estimated slope? [1 point]

Interpret the estimated slope, translating the numbers into words that have

meaning. [3 points]

How does the computer come up with the t-value of 3.23? Show work. [2 points]

When do we observe a negative t-value in regression output? [1 point]

Is the estimated slope statistically significant? Make it clear how you decide. [2

points]

Is the estimated slope substantively significant? Briefly explain. [2 points]

Produce a confidence interval for the parameter estimate for “GPA.” [2 points]

Predict the expected combined SAT score for a student whose high school GPE is

3.0. [2 points]

Suppose I told you that the r2 for this equation was 0.5. What would this mean?

[2 points]

If you could add one control variable to the above equation, what would you add?

Briefly explain. [2 points]

Solution

What is the estimated intercept? [1 point]

545.25

What is the estimated slope? [1 point]

131.85

Interpret the estimated slope, translating the numbers into words that have

meaning

FOR EACH POINT IN GPA YOU WILL HAVE AN INCREASE OF 131.85 IN \"Y\"

for the other questions

I can gladly help you but you should post it in a new question