Example 10-2. A computer while calculating correlation coefficient between twovariables X and Y from 25 pairs of observations obtained the following results :n = 25,EX = 125,ΣΧ650ΣΥ- 100,ΣΥ-460,ΣΧΥ508%3D%3D%3|If wus, however, later discovered at the time of checking that he had copied down two pairs asXY while the correct values were XY. Obtain the correct value of correlaiion148126.8coefficient.

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Answered: Example 10-2. A computer while…

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 2AGP

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Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
Step 5. Calculate the correlation coefficient.
A computer while calculating correlation čoefficient between two variables X and Y from 25 pairs of observations obtained the following data : 1 = 25 ΣΧ- 125, ΣΧ-650, ΣΥ- 100 n = %3D ΣΡ-460,ΣΧΥ-508 %3D It was, however, later discovered at the time of checking that he had copied down two pairs as X Y while the 6 14 8 6 correct values where X Y Obtain the correct value of 8 12 6 8 correlation coefficient.
A set of n = 15 pairs of scores (X and Y values) produces a correlation of r = 0.40. If each of the X values are multiplied by 2 and the correlation is computed for the new scores, which value will be obtained for the new correlation?
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. r= (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. r= (Round to three decimal places as needed.) What effect does switching the variables have on the correlation coefficient? The correlation coeficient when the x-values and y-values are switched.
A farmer would like to investigate the relationship between the obtained yield of apple trees and the amount of weeds found in their roots. For this reason, nine apple trees of the same type were randomly selected and the amount of weeds in their roots (x grams) was recorded together with their yield (y kilograms). Year #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 Weeds in roots (x) 30 28 32 25 25 24 22 24 35 40 Yield (y) 25 30 27 40 42 41 50 45 30 25 Draw a scatter diagram of these data. Label the diagram carefully. Calculate the sample correlation coefficient. Interpret your findings. Calculate the least squares line of y on x and draw the line on the scatter diagram. Based on the regression equation in part (iii.), what will be the predicted yield of apple for a tree with 37 grams of weeds in its roots? Will you trust this value? Justify your answer. Briefly comment on…
If the correlation coefficient obtained from data pairs of variables X and Y is 0.98 the strength and direction of the relationship between X and Y is which of the following: (i) very strong positive (ii) moderate positive (iii) moderate negative (iv) very weak negative
tion 1 of 14 > Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for cach graph. 10 20 Variable Variable I Answer Bank r= 0.4 r= -0.8 r=-0.99 r= 0.0 r= 0.9 0.2 02 04 0.6 os 10 10 Variable I Variable I Variable 6 Variable 5
For a correlation of -.64 between X and Y, each 1 _SD change in Zx corresponds to a predicted change of _____________SD in Zy.
A positive correlation coefficient means that there is a relationship between two variables. O Zero Direct O Inverse O Proportional
Help!! Step 5: Calculate the correlation coefficient ?=∑(zxi⋅zyi)n−1
A computer while calculating correlation coefficient between two variables x and y from 25 pairs of observations obtained the following results. N= 25, Σ 125, Σy = 100 Σεν-508, Σ650, Σν.- %3D = 460 It was, however, discovered at the time of checking that two pairs of observations were not correctly copied. They were taken as (6, 14) and (8, 6) while the correct values were (8, 12) and (6, 8). Prove that the correct value of the correlation coefficient should be 2/3.

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