The following data compare a child s age with the number of gymnastic activities child is abl successfully. Age Activities 5 3 4 4 5 7 7 6. 3 10 9 11 13 a. Identify the response and predictor. 14 Response: activities 12- Pradiator: nga
The following data compare a child s age with the number of gymnastic activities child is abl successfully. Age Activities 5 3 4 4 5 7 7 6. 3 10 9 11 13 a. Identify the response and predictor. 14 Response: activities 12- Pradiator: nga
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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Please help me with parts d, e, and f. Parts a, b, and c were answered in my other question post. Thank you.
![The following data compare a child's age with the number of gymnastic activities child is able to complete
successfully.
Age
Activities 5
3
4
4
5
6.
7
7
5
3
10
11
13
a. Identify the response and predictor.
14 -
Response: activities
12
Predictor: age
10
b. Draw the scatter plot.
y 8-
c. Given Σx-38, Σν.-62, Σ-204
Ey =566, and Exy, =333 , find the
6.
Pearson's correlation coefficient.
4
(38)2
-= 23.5
8
204 -
2-
Syy=Ey;²-
2 Evi)²_
(62)-
566 -
85.5
10
(Exi)(Eyi)_
(38)(62)_
333
38.5
Sxy
38.5
0.858902251)
SzSyy (23.5)(85.5)
d. Find the equation of the least square regression line. And draw the line in the scatter plot in part a.
e. Predict the number of activities a five and half year-old child can perform.
f. What percentage of variation in activities is explained by the linear relation with the age?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4369d31e-a5e6-4ab6-866f-25b4fe8741c7%2F63ae812c-83a3-4055-bc1c-bb2ba8dc8a52%2Fv4hm4iz_processed.png&w=3840&q=75)
Transcribed Image Text:The following data compare a child's age with the number of gymnastic activities child is able to complete
successfully.
Age
Activities 5
3
4
4
5
6.
7
7
5
3
10
11
13
a. Identify the response and predictor.
14 -
Response: activities
12
Predictor: age
10
b. Draw the scatter plot.
y 8-
c. Given Σx-38, Σν.-62, Σ-204
Ey =566, and Exy, =333 , find the
6.
Pearson's correlation coefficient.
4
(38)2
-= 23.5
8
204 -
2-
Syy=Ey;²-
2 Evi)²_
(62)-
566 -
85.5
10
(Exi)(Eyi)_
(38)(62)_
333
38.5
Sxy
38.5
0.858902251)
SzSyy (23.5)(85.5)
d. Find the equation of the least square regression line. And draw the line in the scatter plot in part a.
e. Predict the number of activities a five and half year-old child can perform.
f. What percentage of variation in activities is explained by the linear relation with the age?
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