Help me out with specific steps and calculation to this question. Lots of thanks
ID: 3395538 • Letter: H
Question
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]
Explanation / Answer
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
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