Answered: A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were:…

Name: A group of 11 students was selected at random and asked for their high
Uploaded: 2024-03-20T07:07:50.000Z
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Description: A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were: Student High School GPA Freshmen GPA1 2.0

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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Question

A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were:
Student    High School GPA    Freshmen GPA
1 2.0    1.6
2    2.2    2.0
3    2.6 1.8
4    2.7 2.8
5    2.8    2.1
6    3.1    2.0
7    2.9    2.6
8    3.2 2.2
9    3.3 2.6
10    3.6    3.0
I would like to know whether there is a linear relationship between the high school GPA and the college freshmen GPA, and we would like to be able to predict the freshmen GPA, if we know that the high school GPA of another student is, say, 3.4.

answer the following questions, a-h.

Then, provide the two requested scatter plots for this data (put college freshman GPA on the Y (vertical) axis!).

Enter the data into Excel, (or whatever software you have and can use,) do the regression statistics (directions below), and Scatter Plot the data.
a. What is the intercept?
b. What is Beta (slope)?
c. What is the SE?
d. What is the p-value?
e. What is the R-square?
f. Is there a relationship between high school and college freshmen GPA’s? What is the actual equation of the least-square regression line?
g. IF a high school student had a GPA 0f 3.0, what would you predict the college freshman GPA to be?
h. What would be your approximate 95% prediction interval for question (g)?
i. Copy/paste your scatter plot below
j. Copy/paste your scatterplot with the predicted trend line below