Suppose the entering freshmen at a certain college have a mean combined SAT score of 1230, with a standard deviation of 129. In the first semester, these students attained a mean GPA of 2.64, with a standard deviation of 0.53. A scatterplot showed the association to be reasonably linear, and the correlation between SAT score and GPA was 0.48. Complete parts a through f below. a) Write the equation of the regression line. GPĀ =DScore (Round to five decimal places as needed.) b) Explain what the y-intercept of the regression line indicates. O A. For each additional point on the SAT, the model predicts the freshman's GPA will increase by a value equal to the y-intercept of the regression line. O B. For each additional point of GPA, the model predicts the freshman's SAT score will increase by a value equal to the y-intercept of the regression line. OC. The y-intercept represents the predicted freshman's SAT score if they have a 0 GPA. It has no practical interpretation. O D. The y-intercept represents the predicted freshman's GPA if they score a 0 on the SAT. It has no practical interpretation. c) Interpret the slope of the regression line. O A. For each increase on the SAT score equal to the slope, the model predicts the freshman's GPA will increase by 1. O B. The slope represents the predicted freshman's GPA if they score a 0 on the SAT. It has no practical interpretation. OC. For each additional point on the SAT, the model predicts the freshman's GPA will increase by a value equal to the slope of the regression line. O D. For each additional noint of GPA the model nredicts tha freshman's SAT score will increase hv a valuA Anual to the slone of the rearession line Click to select your answer(s).
Suppose the entering freshmen at a certain college have a mean combined SAT score of 1230, with a standard deviation of 129. In the first semester, these students attained a mean GPA of 2.64, with a standard deviation of 0.53. A scatterplot showed the association to be reasonably linear, and the correlation between SAT score and GPA was 0.48. Complete parts a through f below. a) Write the equation of the regression line. GPĀ =DScore (Round to five decimal places as needed.) b) Explain what the y-intercept of the regression line indicates. O A. For each additional point on the SAT, the model predicts the freshman's GPA will increase by a value equal to the y-intercept of the regression line. O B. For each additional point of GPA, the model predicts the freshman's SAT score will increase by a value equal to the y-intercept of the regression line. OC. The y-intercept represents the predicted freshman's SAT score if they have a 0 GPA. It has no practical interpretation. O D. The y-intercept represents the predicted freshman's GPA if they score a 0 on the SAT. It has no practical interpretation. c) Interpret the slope of the regression line. O A. For each increase on the SAT score equal to the slope, the model predicts the freshman's GPA will increase by 1. O B. The slope represents the predicted freshman's GPA if they score a 0 on the SAT. It has no practical interpretation. OC. For each additional point on the SAT, the model predicts the freshman's GPA will increase by a value equal to the slope of the regression line. O D. For each additional noint of GPA the model nredicts tha freshman's SAT score will increase hv a valuA Anual to the slone of the rearession line Click to select your answer(s).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:Suppose the entering freshmen at a certain college have a mean combined SAT score of 1230, with a standard deviation of 129. In the first semester, these students attained a mean GPA of 2.64, with a standard deviation of 0.53. A
scatterplot showed the association to be reasonably linear, and the correlation between SAT score and GPA was 0.48. Complete parts a through f below.
a) Write the equation of the regression line.
GPĀ =DScore
(Round to five decimal places as needed.)
b) Explain what the y-intercept of the regression line indicates.
O A. For each additional point on the SAT, the model predicts the freshman's GPA will increase by a value equal to the y-intercept of the regression line.
O B. For each additional point of GPA, the model predicts the freshman's SAT score will increase by a value equal to the y-intercept of the regression line.
OC. The y-intercept represents the predicted freshman's SAT score if they have a 0 GPA. It has no practical interpretation.
O D. The y-intercept represents the predicted freshman's GPA if they score a 0 on the SAT. It has no practical interpretation.
c) Interpret the slope of the regression line.
O A. For each increase on the SAT score equal to the slope, the model predicts the freshman's GPA will increase by 1.
O B. The slope represents the predicted freshman's GPA if they score a 0 on the SAT. It has no practical interpretation.
OC. For each additional point on the SAT, the model predicts the freshman's GPA will increase by a value equal to the slope of the regression line.
O D. For each additional noint of GPA the model nredicts tha freshman's SAT score will increase hv a valuA Anual to the slone of the rearession line
Click to select your answer(s).
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