**Regression Analysis Exercise****Objective:** Run a regression analysis on the following bivariate dataset, with \(y\) as the response variable.| \(x\) | \(y\) ||-------|-------|| 71.6 | 9.8 || 41.4 | 75.6 || 60.4 | 17.1 || 44.8 | 50.7 || 37.7 | 62.0 || 52.6 | 40.6 || 60.1 | 10.4 || 55.6 | 38.9 || 74.2 | -6.6 || 49.7 | 33.6 || 43.9 | 54.8 |**Task:** Verify that the correlation is significant at \(\alpha = 0.05\). If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 45.9 on the response variable.**Question:** What is the predicted explanatory value?\(x = \underline{\hspace{1cm}}\) **Instructions:** Use statistical software or a calculator to determine the significance of the correlation and derive the regression equation to make predictions.

correlation coefficient r=∑(xi-x¯)(yi-y¯)∑(xi-x¯)2∑(yi-y¯)2

Answered: Run a regression analysis on the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Research was conducted on the amount of training for 5K and the time a contestant took to run the race. The researcher recorded the number of miles during training ( a 1 month period) and the time to complete the 5K. The results are below. Miles Trained 45 77 37 25 60 64 Time (Minutes) 32.9 28 36.2 27.5 19.5 18.3 a) Give the correlation coefficient. r = b) Give the equation of the regression line. Round the values to 4 deimal places.This is in the form y = ax + b, so the slope goes in the first box and the y-inercept in the 2nd box.y = x + c) Interpret the y-intercept (Explain it's meaning, do not just give its value.)d) Predict the time in the 5K if someone trained 37 miles.Use the rounded values entered for the slope and intercept of the regression line to compute the predicted y-value.y = e) Give the residual for 37 miles trained.This is the actual y value for the runner who trained for miles minus the predicted value.Residual=
You wish to determine if there is a positive linear correlation between the two variables at a significance level of α=0.01α=0.01. You have the following bivariate data set. x y 43.4 76.4 23.7 74.4 2.9 76.1 -0.4 59.2 24 72.2 35.6 64.9 20.1 60 35.5 67.5 59.7 71.5 24.3 75.7 32.6 80.1 9.6 62.8 39.8 76.7 -5.5 55.7 49.1 78.6 22.7 69.8 46.4 84.9 12.4 47.4 45.8 69.4 40.5 73.8 38.1 77.4 37.1 70.3 30.4 73.4 download link provided here: Download CSVWhat is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places)To find the p-value for a correlation coefficient, you need to convert to a t-score:t=r⋅√n−21−r2t=r⋅n-21-r2This t-score is from a t-distribution with n−2n-2 degrees of freedom.What is the p-value for this correlation coefficient? p-value = (report answer accurate to at least 4 decimal places)Your final conclusion is that... There is insufficient sample evidence to support…
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.05α=0.05. You have the following bivariate data set. x y 43.5 181.7 81.9 106.1 74.4 58.4 99 1.8 83.1 -6.3 29.5 150.5 62.6 44.7 66.4 54 60.5 142.9 66.7 48.7 60.3 41 61.7 171.8 What is the critival value for this hypothesis test?rc.v. = What is the correlation coefficient for this data set?r =
Here is a bivariate data set. y 30.4 1.4 28.5 37.7 34.4 46.8 47.9 29.8 23.3 6.3 46.3 32.9 56.6 64.6 42.1 35.1 39.7 41.4 58.5 69.9 Find the correlation coefficient and report it accurate to three decimal places. r =
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.02α=0.02. You have the following bivariate data set. x y 25.2 64.3 15.3 79.6 39 49.8 30 75.1 14.8 82.2 15.7 69.9 4.3 92.5 17.9 84.4 13.4 77.6 18.4 74.4 25 78.1 24.4 65 23.7 69.7 10.9 89.1 31.3 65.3 20.6 82.4 20.4 81.1 29 68.2 13.9 92 8.7 88.4 5.3 93.4 What is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places)What is the p-value for this correlation coefficient? p-value =
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.01α=0.01. You have the following bivariate data set. x y 43.5 15.5 31.7 -8 50 4.3 48.9 9.4 64.2 17.8 40.6 4.2 69.9 17.3 65.8 30.7 74.1 29.3 65.5 43.8 58.5 34.2 64.9 27.8 What is the critival value for this hypothesis test?rc.v. = What is the correlation coefficient for this data set?r = Your final conclusion is that... There is insufficient sample evidence to support the claim the there is a correlation between the two variables. There is sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables. Note: In your calculations, round both r and t to 3 decimal places in ALL calculations.
You wish to determine if there is a positive linear correlation between the two variables at a significance level of α=0.05α=0.05. You have the following bivariate data set. x y 43 21.8 81.3 122.7 48.9 50.4 38.3 75 58 85.9 25 10.5 74.7 105.6 72 71.8 70.7 64.7 60.6 83.6 65.6 78.3 56.8 72.9 73 64.5 43.9 67 37.3 26.9 89.5 113.2 43.5 65.7 63.7 113.3 67.5 62.3 61.5 69.1 67.7 99.2 54.5 49.7 50.3 58.9 58.9 89.3 52 56.3 What is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places)To find the p-value for a correlation coefficient, you need to convert to a t-score:t=r⋅√n−21−r2t=r⋅n-21-r2This t-score is from a t-distribution with n−2n-2 degrees of freedom.What is the p-value for this correlation coefficient? p-value = (report answer accurate to at least 4 decimal places)Your final conclusion is that... There is insufficient sample evidence to support the claim the there is a…
Here is a bivariate data set. x y 51.3 19.3 11.7 115.1 43.8 41.8 -2.9 173.8 27.7 109.3 50.9 63.7 40.6 76.9 40.1 46.2 41.6 63.2 26.4 43.5 32.3 66.8 51.6 14.9 36.9 42.9 Find the correlation coefficient and report it accurate to three decimal places.r = Incorrect (NOT 0.110)What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.R² = Incorrect% (NOT 1.21%)
Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.858 and the least squares regression line is y = 0.228x +11.187. Complete parts (a) and (b) below. Height, x 27.5 25.75 26.5 25.5 27.25 26.25 25.75 27.25 27 27.25 27 Head Circumference, y 17.4 17.2 17.2 16.9 17.6 17.1 17.1 17.4 17.4 17.3 17.3 (a) Compute the coefficient of determination, R². R² =% (Round to one decimal place as needed.) (b) Interpret the coefficient of determination and comment on the adequacy of the linear model. Approximately % of the variation in (Round to one decimal place as needed.) is explained by the least-squares regression model. According to the residual plot, the linear model appears to be
R =?
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.10α=0.10. You have the following bivariate data set. x y 99.3 2.7 72.6 24.4 62.2 42.2 76.5 2.8 73.9 17.5 90 11.7 52 47.2 84.2 10.6 72.7 15.1 86.1 14.7 61.1 53.5 46.5 56.2 90.7 -3.6 103.1 -10 49.2 46.8 38.5 54.6 61.8 46.5 74.2 27.9 63.7 48.7 74.8 28.2 63 29.6 59.8 40.5 80.5 13.5 80 21.3 71.4 22.8 59.6 51.6 45.1 61.9 84.4 18.2 download link provided here: What is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places)To find the p-value for a correlation coefficient, you need to convert to a t-score:t=r⋅√n−21−r2t=r⋅n-21-r2This t-score is from a t-distribution with n−2n-2 degrees of freedom.What is the p-value for this correlation coefficient? p-value = (report answer accurate to at least 4 decimal places)Your final conclusion is that... There is…

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS