You have the following data Yield Strength Threshold Stress 635 644 711 708 836 820 810 870 856 923 878 937 948 100 93 88 84 77 75 74 63 57 55 | 47| 43 38 a. Eyeball the data. Does the correlation between x and y look positive, negative or close to 0? What does it mean if it is significantly close or away from 0? b. Find the mean and standard deviations of x & y as well as the correlation (you can use a calculator or computer). c. Build a linear regression line. d. Plot a histogram of the residuals. What value do you get for the standard error of the residuals? How does that number relate to your histogram? e. Build a 95% confidence interval for your slope.
You have the following data Yield Strength Threshold Stress 635 644 711 708 836 820 810 870 856 923 878 937 948 100 93 88 84 77 75 74 63 57 55 | 47| 43 38 a. Eyeball the data. Does the correlation between x and y look positive, negative or close to 0? What does it mean if it is significantly close or away from 0? b. Find the mean and standard deviations of x & y as well as the correlation (you can use a calculator or computer). c. Build a linear regression line. d. Plot a histogram of the residuals. What value do you get for the standard error of the residuals? How does that number relate to your histogram? e. Build a 95% confidence interval for your slope.
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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Transcribed Image Text:You have the following data
Yield
Strength
Threshold
Stress
635
644
711
708
836
820
810
870 856 923 878 937
948
63 57 55 47 43
100
93
88
84
77
75
74
38
a. Eyeball the data. Does the correlation between x and y look positive, negative or close to 0? What does it mean if it is
significantly close or away from 0?
b. Find the mean and standard deviations of x & y as well as the correlation (you can use a calculator or computer).
c. Build a linear regression line.
d. Plot a histogram of the residuals. What value do you get for the standard error of the residuals? How does that
number relate to your histogram?
e. Build a 95% confidence interval for your slope.
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