As part of a study at a large university, data were collected on n= 224 freshmen computer science (CS) majors in a particular year. The researchers were interested in modeling y, a student's grade point average (GPA) after three semesters, as a function of the following independent variables (recorded at the time the students enrolled in the university): *1" average high school grade in mathematics (HSM) *2 average high school grade in science (HsS) * 3- average high school grade in English (HSE) * 4= SAT mathematics score (SATM) *5= SAT verbal score (SATV) A first-order model was fit to the data with the following results: SOURCE DF MS FVALUE PROB>F 5 MODEL ERROR TOTAL 28.64 5.73 11.69 .0001 218 10682 0.49 223 135.46 R-SQUARE ADJ R-SQ ROOT MSE 0.700 4.035 0.211 0.103 DEP MEAN T FOR O PARAMETER -0 PARAMETER STANDARD VARIABLE ESTIMATE ERROR PROB >ITI INTERCEPT XI(HSM) X2 (HSS) X3 (HSE) X4(SATM) X5 (SATV) 2.327 0.039 5.817 a.0001 0.146 0.037 3.718 0.0003 a.036 0.038 0.950 03432 0. 1637 0 1702 0.055 0.040 0.00068 0.0059 1.397 1.376 0.00094 -0.00041 -0.689 0.4915 a) Test to determine if the model is adequate for predicting GPA. Use a = 01. b Write the model you want to use (explain why and which independent variables you want to use)
As part of a study at a large university, data were collected on n= 224 freshmen computer science (CS) majors in a particular year. The researchers were interested in modeling y, a student's grade point average (GPA) after three semesters, as a function of the following independent variables (recorded at the time the students enrolled in the university): *1" average high school grade in mathematics (HSM) *2 average high school grade in science (HsS) * 3- average high school grade in English (HSE) * 4= SAT mathematics score (SATM) *5= SAT verbal score (SATV) A first-order model was fit to the data with the following results: SOURCE DF MS FVALUE PROB>F 5 MODEL ERROR TOTAL 28.64 5.73 11.69 .0001 218 10682 0.49 223 135.46 R-SQUARE ADJ R-SQ ROOT MSE 0.700 4.035 0.211 0.103 DEP MEAN T FOR O PARAMETER -0 PARAMETER STANDARD VARIABLE ESTIMATE ERROR PROB >ITI INTERCEPT XI(HSM) X2 (HSS) X3 (HSE) X4(SATM) X5 (SATV) 2.327 0.039 5.817 a.0001 0.146 0.037 3.718 0.0003 a.036 0.038 0.950 03432 0. 1637 0 1702 0.055 0.040 0.00068 0.0059 1.397 1.376 0.00094 -0.00041 -0.689 0.4915 a) Test to determine if the model is adequate for predicting GPA. Use a = 01. b Write the model you want to use (explain why and which independent variables you want to use)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:As part of a study at a large university, data were collected on n = 224 freshmen computer science (CS) majors in a particular year. The researchers were interested in modeling y, a student's grade point average (GPA) after three semesters, as a function of the following
independent variables (recorded at the time the students enrolled in the university):
X 1= average high school grade in mathematics (HSM)
X 2 = average high school grade in science (HSS)
X 3 = average high school grade in English (HSE)
X 4 = SAT mathematics score (SATM)
x 5 = SAT verbal score (SATV)
A first-order model was fit to the data with the following results:
SOURCE
DF
MS
F VALUE
PROB>F
MODEL
28.64
5.73
11.69
0001
ERROR
218
106 82
0.49
TOTAL
223
135.46
ROOT MSE
DEP MEAN
0.700
R-SQUARE
0.211
4.635
ADJ R-SQ
0.193
PARAMETER
STANDARD
T FOR O
VARIABLE
ESTIMATE
ERROR
PARAMETER -0
PROB> ITI
INTERCEPT
2.327
0.039
5.817
0.0001
0.0003
XI HSM)
X2 (HSS)
X3 (HSE)
X4 (SATM)
X5 (SATV)
0.146
0.037
3.718
a.036
0.038
0.950
0.3432
0.055
0.040
1.397
a 1637
0 1702
0. 4915
0.00094
0.00068
1.376
-0.00041
0.0059
-0.689
a) Test to determine if the model is adequate for predicting GPA. Use c= .01.
b )Write the model you want to use (explain why and which independent variables you want to use)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman