If r = 0.8, the standard deviation of x is 3 and that of y is 4, find the regression coefficient of y on x.
Linear Regression
Original Khojo Papers practice question — not from a past board paper.
The line of regression of y on x is used to estimate y from a given x, and the line of x on y to estimate x from a given y. The two lines intersect at the point whose coordinates are the means of x and y.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
The two lines coincide when the correlation is perfect and are at right angles when it is zero.
From the same topic and chapter, at a similar level.
If r = 0.8, the standard deviation of x is 3 and that of y is 4, find the regression coefficient of y on x.
Linear Regression
Why are there two lines of regression rather than one?
Linear Regression
If the two regression coefficients are 0.8 and 0.45, find the coefficient of correlation.
Linear Regression
State two properties of regression coefficients.
Linear Regression
If A = [[1, 2], [3, 4]] and B = [[0, 1], [1, 0]], find AB and BA and state whether they are equal.
Matrices
Find the projection of a = 2i + 3j + 2k on b = i + 2j + k.
Vectors