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

ID: 3397494 • 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. [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]

Explanation / Answer

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