A computer while calculating correlation čoefficientbetween two variables X and Y from 25 pairs ofobservations obtained the following data :1 = 25ΣΧ- 125, ΣΧ-650, ΣΥ- 100n =%3DΣΡ-460,ΣΧΥ-508%3DIt was, however, later discovered at the time of checkingthat he had copied down two pairs as X Y while the6 148 6correct values where X Y Obtain the correct value of8 126 8correlation coefficient.

Given n=25, ∑x=125, ∑x2= 650, ∑Y=100, ∑y2=460, ∑xy=508 Standard deviation=√variance We want to…

Answered: A computer while calculating…

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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need figure 1, 2, 3, 4
The variable X and Y are connected by equation aX + bY + c = 0. Show that the correlation between them is – 1 if the signs of a and b are alike and + 1 if they are different.
Choose the value of the Pearson's Correlation Coefficient (r) that best describes the two plots. : 0.504, II: -0.232. 2) I: -0.904, II: 0.232. 3) I: 0.904, II: -0.232. 4) I: -0.232, II: 1.304. 5) I: 0.904, II: -0.632.
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 Row 215 19229 11231 12350 17651 12666 11375 187 Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. r=_______
For the following pairs of data points (10, 100), (8, 120), (5, 200), (4, 200), (10, 90); (7, 110) and (6, 150) the relationship between X and Y is Positive Zero None Negative
For each pair of quantities, decide if the correlation coefficient would be close to 1, close to -1, or not be close to 1 or -1. Part: 0/4 Part 1 of 4 (a) The number of hours a student spends studying and the score on that student's exam. The correlation coefficient would be close to 1 Part: 1/4 Part 2 of 4 Part: 2/4 X (b) The number of hours a student spends studying and the number of letters in that student's name. The correlation coefficient would be close to -1 Part 3 of 4 X Ś X Ś (c) The number of hours an overweight person spends exercising and that person's weight. The correlation coefficient would be close to 1 5
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.)
Which of the following correlation coefficients might lead a researcher to conclude that there is a weak, but significant, negative linear relation between variables X and Y? a. r=0.99 b. r=0.30 c. r=0 d. r=-0.30 c. r=-0.99
For numbers 11 and 12: In a study of sugarcane, the researchers obtained a Pearson correlation coefficient between yield and plant height of sugarcane equal to 0.80 while that between stalk diameter and plant height of sugarcane equal to -0.94. 11. Which of the following is (are) TRUE about the results obtained in the study? 1. For every unit change in the stalk diameter, there is a 0.80 unit change in plant height. II. The linear relationship between plant height and yield is stronger than the linear relationship between plant height and stalk diameter. A. I only B. II only C. Both I and II A. Correlation Analysis B. Simple Linear Regression Analysis D. Neither I nor II 12. If the researchers further wanted to determine if plant height sugarcane is linearly dependent on the yield and stalk diameter, which of the following analysis would be most appropriate to use? C. Multiple Linear Regression Analysis D. Quadratic Regression Analysis
A computer while calculating the correlation coefficient between the variables X and Y obtained the following results: N= 30, ΣΧ-120, ΣΧ600, ΣΥ-90, ΣΥ250, ΣΧΥ-356. It was, however later discovered at the time of checking that it had copied down two pairs of observations: X Y wrongly as while the correct values are X Y 8 10 8 12 10 8 12 7. Find the correct value of correlation coefficient between X and Y.
The correlation coefficient between the variables x and y is r=0.78 . If Sigma x=1.56, Sigma y=2.00, x bar=12,y bar=22 Find the equations of the registration lines Y on X
Suppose data are collected concerning the weight of a person in pounds and the number of calories burned in 30 minutes of walking on a treadmill at 3.5 miles per hour. How would the value of the correlation coefficient, r, change if all of the weights were converted to kilograms?

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