a) Calculate EX;.- b) Calculate E Y;- c) Calculate E X;X¿-
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
![An automotive company measured the position of a test car during a 50 second time period
during two trial test runs.
Trial 1
Trial 2
Time (T)
[sec]
20
Position (P)
Position (P)
[m]
[m]
1439
984
25
1791
824
30
2059
1164
35
1564
1396
40
1930
1844
45
2569
2298
50
2308
1691
55
3241
2358
60
3238
2389
65
3952
2691
70
3635
2478
We are interested in obtaining the linear relationship between the time (T) and position (P).
During Trial 1, analysis showed the automobile position followed the relationship
P = 48.9*T + 320
You are expected to develop a similar relationship for Trial 2. You should consider time as the
independent variable X, and position as the dependent variable Y.
a) Calculate E X;.
b) Calculate E Y;.
c) Calculate EX;X¡.
d) Calculate E Y,Y;.
e) Calculate Σ Χ.,Y,
f) Using the least squares approach, calculate the slope m and y-intercept b for the
straight line which best fits the data for Trial 2. You may NOT use Excel.
g) Calculate the coefficient of correlation, r, for the line found in step f. You may NOT use
Excel.
h) Plot both Trial 1 and Trial 2 data found in the table along with the trend line evaluated in
step f. You may present the plot using Excel output.
i) Which Trial had the highest average velocity for the duration of the test run? How did
you determine your answer?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F770ca411-c432-4359-b402-477113772906%2Fc7ae8a7e-0edf-4d58-9ff5-9e3827f53b6a%2Fi4w74ot_processed.png&w=3840&q=75)
Transcribed Image Text:An automotive company measured the position of a test car during a 50 second time period
during two trial test runs.
Trial 1
Trial 2
Time (T)
[sec]
20
Position (P)
Position (P)
[m]
[m]
1439
984
25
1791
824
30
2059
1164
35
1564
1396
40
1930
1844
45
2569
2298
50
2308
1691
55
3241
2358
60
3238
2389
65
3952
2691
70
3635
2478
We are interested in obtaining the linear relationship between the time (T) and position (P).
During Trial 1, analysis showed the automobile position followed the relationship
P = 48.9*T + 320
You are expected to develop a similar relationship for Trial 2. You should consider time as the
independent variable X, and position as the dependent variable Y.
a) Calculate E X;.
b) Calculate E Y;.
c) Calculate EX;X¡.
d) Calculate E Y,Y;.
e) Calculate Σ Χ.,Y,
f) Using the least squares approach, calculate the slope m and y-intercept b for the
straight line which best fits the data for Trial 2. You may NOT use Excel.
g) Calculate the coefficient of correlation, r, for the line found in step f. You may NOT use
Excel.
h) Plot both Trial 1 and Trial 2 data found in the table along with the trend line evaluated in
step f. You may present the plot using Excel output.
i) Which Trial had the highest average velocity for the duration of the test run? How did
you determine your answer?
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