Multiple Linear Regression A nursing instructor wishes to see whether a student's grade point average and age are related to the student's score on the state board nursing examination. She selects five students and obtains the following data. Student GPAX₁ 3.2 2.7 2.5 3.4 2.2 Age x₂ 22 27 24 28 23 State board score y 550 570 525 670 490 My Solution E a) Refer to fitlm. From its output, determine the b0, b1, and b2. Do not simply enter the values but work with objects in MATLAB. You can also search How to get the p-value as an output of fitlm on MATLAB Answers. b) Predict a student's state board score who has a GPA of 3.0 and who is 25 years old. The multiple regression equation is ŷ = bo+b₁x₁ + b₂x2. c) Obtain the Coefficient of Determination (R²) from fitlm's output. Check LinearModel.
Multiple Linear Regression A nursing instructor wishes to see whether a student's grade point average and age are related to the student's score on the state board nursing examination. She selects five students and obtains the following data. Student GPAX₁ 3.2 2.7 2.5 3.4 2.2 Age x₂ 22 27 24 28 23 State board score y 550 570 525 670 490 My Solution E a) Refer to fitlm. From its output, determine the b0, b1, and b2. Do not simply enter the values but work with objects in MATLAB. You can also search How to get the p-value as an output of fitlm on MATLAB Answers. b) Predict a student's state board score who has a GPA of 3.0 and who is 25 years old. The multiple regression equation is ŷ = bo+b₁x₁ + b₂x2. c) Obtain the Coefficient of Determination (R²) from fitlm's output. Check LinearModel.
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![Script
1 % X is a 5 x 2 matrix
2 X=
3 y=
4
5% use fitlm
6 md1=
7
8 % be
9 bo=
10
11 % b1
12 b1=
13
Save
C Reset
14 % b2
15 b2=
16
17 % Compute the student's predicted state board score
18 y predicted=
19
20 % Get the Coefficient of Determination
21 Rsq=
22
23 % Testing the significance of R to compute F-statistic
24 [p,F]=
MATLAB Documentation
Run Script](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61545ec1-f3bc-4b67-a67a-e77b01c3e9cf%2Fe8fb2e4e-9f65-48d9-bbea-5367f8d9d8f1%2Fghdlqhb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Script
1 % X is a 5 x 2 matrix
2 X=
3 y=
4
5% use fitlm
6 md1=
7
8 % be
9 bo=
10
11 % b1
12 b1=
13
Save
C Reset
14 % b2
15 b2=
16
17 % Compute the student's predicted state board score
18 y predicted=
19
20 % Get the Coefficient of Determination
21 Rsq=
22
23 % Testing the significance of R to compute F-statistic
24 [p,F]=
MATLAB Documentation
Run Script
Transcribed Image Text:Multiple Linear Regression
A nursing instructor wishes to see whether a student's grade point average and age are related to the
student's score on the state board nursing examination. She selects five students and obtains the
following data.
Student
A
B
D
E
GPAX₁
3.2
2.7
2.5
3.4
2.2
Age x₂
22
27
24
28
23
State board
score y
550
570
525
670
490
My Solutions >
a) Refer to fitlm. From its output, determine the b0, b1, and b2. Do not simply enter the values but work
with objects in MATLAB. You can also search How to get the p-value as an output of fitlm on MATLAB
Answers.
b) Predict a student's state board score who has a GPA of 3.0 and who is 25 years old. The multiple
regression equation is y = bo+b₁x₁ + b2x2.
c) Obtain the Coefficient of Determination (R²) from fitlm's output. Check LinearModel.
d) Obtain the F-statistic using coefTest. Its value must be the same as that of fitlm with some discrepancy
due to rounding off.
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