A computer while calculating the correlationcoefficient between the variables X and Yobtained the following results:N = 30, 2Y = 120, X = 600, EY= 90, EY²= 250, EXY%D= 356.%3DIt was, however later discovered at the time ofchecking that it had copied down two pairs ofobservations:X Y8 1012 7Its is wrongly as while the correct values areX Y8 1210 8Find the correct value of correlationcoefficient between X and Y.

Answered: Image /qna-images/answer/667b0749-d76a-468a-8ab9-36ad5d3d114c.jpg

Answered: A computer while calculating 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

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Which of the following correlation coefficient would reflect a conclusion made by a researcher that two variables are not related? r = –.30 r = +.02 r = +.36 r = –.98
Match the following scatterplots to their correct correlation coefficients (r). 1. r= -0.852. r= -0.403. r= 04. r= 0.505. r= 0.906. r= 0.99
A random sample of college students was surveyed about how they spend their time each week. The scatterplot below displays the relationship between the number of hours each student typically works per week at a part- or full-time job and the number of hours of television each student typically watches per week. The correlation between these variables is r = –0.63, and the equation we would use to predict hours spent watching TV based on hours spent working is as follows: Predicted hours spent watching TV = 17.21 – 0.23(hours spent working) Since we are using hours spent working to help us predict hours spent watching TV, we’d call hours spent working a(n) __________________ variable and hours spent watching TV a(n) __________________ variable. The correlation coefficient, along with what we see in the scatterplot, tells us that the relationship between the variables has a direction that is _________________ and a strength that is ______________________. According to the…
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have on r? Row 1 19 23 31 49 51 70 79 Row 2 156 155 190 141 202 191 181 Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. r= 0.430 (Round to three decimal places as needed.) Calculate the correlation coefficient r, letting Row 2 represent the x-values and Row 1 the y-values. (Round to three decimal places as needed.)
Consider the following table of data. 2 3 4 y 1 1 1 1.1 (a) Calculate the correlation coefficient. (b) Sketch a graph of the data. (c) Based on how closely the data fits a straight line, is your answer to part (a) surprising? Discuss the extent to which the correlation coefficient describes how well the data fit a horizontal line.
A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is plotted on the x-axis against the number of milligrams of sodium on the y-axis. The value of r for the resulting scatterplot is 0.83. How would the value of the correlation coefficient, r, change if sodium was plotted on the x-axis and calories plotted on the y-axis? The value of r would increase. The value of r would not change. The value of r would change to –0.83. The value of r could increase or decrease, depending of the strength of the new relationship.
Consider a two-dimensional scatterplot representing the relationship between two continuous variables. If the correlation coefficient is -1, then: a. All points lie in a straight line with a slope of -1. b. All points lie in a straight line with an unknown negative slope. c. All points do not lie in a straight line but the best fitting regression line has a slope of -1 d. There is a strong positive relationship between the two variables.
At question c it reads - competitor number 14(row12)
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have on r? Row 1 14 25 36 45 59 66 80 Row 2 162 166 160 106 139 143 156 Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. (Round to three decimal places as needed.)

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