Let's say we have a sample with 51 pairs of X and Y values. Let X take on every integer value from -25 to 25, and each corresponding Y is equal to X^4.

A) Calculate the mean and variance of the X values
Mean______ Variance _____

B) Calculate the mean and standard deviation of the Y values
Mean______ SD _______

C) Calculate the correlation of X and Y_________

D) Calculate the R^2 of X and Y_________

E) Calculate the values for the regression line of Y on X.
= ______ +_____ *X

F) Based on the correlation (T/F)

X and Y are moderately correlated

X and Y are strongly correlated

There is almost no relationship between X and Y

There is almost no linear relationship between X and Y

As X increases, so does Y

orchestra answered 2 years ago

Let's say that we have two variables X and Y. We calculate their correlation value to be r = -.8012. What is the interpretation of this value?

(4-4-6, From Example 4.4.2) Let X and Y have the joint pdf f(x,y)=32x2(1−|y|),−1<x<1,−1<y<1 Calculate Var(X) Calculate Var(Y) P(−X≤Y)

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