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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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2BGP
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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.
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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