Regression Coefficient of v on u

To find the regression coefficient of v on u, we need to use the formula:

b(v,u) = b(y,x) * (s(y) / s(x))

where b(v,u) is the regression coefficient of v on u, b(y,x) is the regression coefficient of y on x, s(y) is the standard deviation of y, and s(x) is the standard deviation of x.

Calculating Standard Deviations

To calculate the standard deviation of y, we need to first find the variance of y, which is the average of the squared differences between each value of y and the mean of y. We can use the following formula:

var(y) = Σ(y - ȳ)^2 / n

where Σ represents the sum of all values, y is each value of y, ȳ is the mean of y, and n is the number of values.

Similarly, to calculate the standard deviation of x, we need to first find the variance of x using the formula:

var(x) = Σ(x - x̄)^2 / n

where x is each value of x, x̄ is the mean of x, and n is the number of values.

Substituting Values

Using the given values, we have:

b(y,x) = 2.4
s(y) = -3 (since v = -3y - 6)
s(x) = 2 (since u = 2x + 5)

To calculate the mean of y and x, we need to first find the values of x and y that correspond to the same observations. Since we do not have this information, we cannot calculate the means.

Final Answer

Therefore, we cannot calculate the regression coefficient of v on u without knowing the means of x and y.