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Question
Choose the correct alternative:
The slope of the line of regression of y on x is called the ______
Options
regression coefficient of x on y
correlation coefficient between y and x
covariance between y and x
regression coefficient of y on x
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Solution
regression coefficient of Y on X
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RELATED QUESTIONS
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If Σx1 = 56 Σy1 = 56, Σ`x_1^2` = 478,
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From the data of 20 pairs of observations on X and Y, following results are obtained.
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`sum(x_i - bar x)(y_i - bar y)` = –250
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- The line of regression of X on Y.
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The equation of the line of regression of y on x is y = `2/9` x and x on y is x = `"y"/2 + 7/6`.
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State whether the following statement is True or False:
bxy is the slope of regression line of y on x
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Two samples from bivariate populations have 15 observations each. The sample means of X and Y are 25 and 18 respectively. The corresponding sum of squares of deviations from means are 136 and 148 respectively. The sum of product of deviations from respective means is 122. Obtain the regression equation of x on y
If n = 5, Σx = Σy = 20, Σx2 = Σy2 = 90, Σxy = 76 Find the regression equation of x on y
For certain bivariate data on 5 pairs of observations given:
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Complete the following activity to find, the equation of line of regression of Y on X and X on Y for the following data:
Given:`n=8,sum(x_i-barx)^2=36,sum(y_i-bary)^2=40,sum(x_i-barx)(y_i-bary)=24`
Solution:
Given:`n=8,sum(x_i-barx)=36,sum(y_i-bary)^2=40,sum(x_i-barx)(y_i-bary)=24`
∴ `b_(yx)=(sum(x_i-barx)(y_i-bary))/(sum(x_i-barx)^2)=square`
∴ `b_(xy)=(sum(x_i-barx)(y_i-bary))/(sum(y_i-bary)^2)=square`
∴ regression equation of Y on :
`y-bary=b_(yx)(x-barx)` `y-bary=square(x-barx)`
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Out of the two regression lines x + 2y – 5 = 0 and 2x + 3y = 8, find the line of regression of y on x.
