The marks obtained by 10 students in statistics (x) and algebra (y) are as follows:Table 688827367625756545348y71536756515062465242a. Calculate the coefficient of correlation using:i.Pearson's formula and comment on your answer.ii.Spearman's rank and comment on your answer.b. Find the least squares regression equation and calculate the expectedvalue ofyifX = 50.c. Construct a scatterplot and comment on the linear relationship betweenx and y.

Correlation Coefficient: Let (x1, y1), (x2, y2), ... , (xn, yn) be n set of observations for the…

Answered: The marks obtained by 10 students in…

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

a. Determine the correlation coefficient between the number of periods and the sales. Is time series a good method of predicting the monthly sales for year 4?b. Determine the correlation coefficient between the sales and the number of tourists in the area. Is a linear regression a good method to predict the sales for a month?
The data below shows the depth of a snowpack ?, in inches, of ? days after May 1 ? days May 1 1 3 5 7 9 depth, ?, in inches 37 24 22 24 14 a. Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r for the given data. Round the constants, a, b, and r, to the nearest hundredth.
An educator wants to see the number of absences(X) a student in her class has affects the Student’s final GPA(Y)a) Find Correlation coefficient b) Draw a Scatter plot c) Find the Regression equation of Y on X d) Predict the student’s GPA when X = 6 x 4 5 2 8 3 10 7 y 2.5 2.3 4 2.1 3.3 1.7 2.3
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=
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 45 inches. Is the result close to the actual weight of 333 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) Click the icon to view the critical values of the Pearson correlation coefficient r. 47 61 51 47 54 56 282 495 371 349 421 389 (...) What is the regression equation? y=+x (Round to one decimal place as needed.) an example Get more help. Clear all Check answer brrec Us |
d the linear regression equation and the value of the linear correlation coefficient r. Round to 2 decimals. 19) The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands): Cost| 7 2 3 4 2 5 9 10 Number 85 52 55 68 67 80 83 73 to Cost r =
a) Given the data below on students' scores, derive the regression equation b) Calculate Spearman's rank correlation coefficient between the two students' scores below and interpret the result. A: 2 5 3 1 8 4 7 6 B: 3 7 4 1 8 5 6 2 (b) Consider the following set of data: 12 36 10 32 14 37 16 18 20 22 39 X 24 26 28 37 36 39 42 38 31 Calculate the Pearson correlation coefficient between x and y and comment on the result.
50
X y 1 1 É Consider the following table of data. a. Calculate the least squares line and the correlation coefficient. b. Repeat part (a), but this time delete the last point. c. Draw a graph of the data, and use it to explain the dramatic difference between the answers to parts (a) and (b). a. The least squares line is Y= x +. (Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.) 1 2 2 1 22 11 11
Find the Pearson product-moment correlation coefficient of the data set shown below:Where the car price is Y and car age is the X. Car Age (in years) Price in dollars 4 6300 4 5800 5 5700 5 4500 7 4500 7 4200 8 4100 9 3100 10 2100 11 2500 12 2200

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