Question

X and Y are two random variables. A scatter diagram for a 15 differest samples of both tandom yariables is illustrated below 7 t. pt. a. | Suggest a convenient value for the covarance of X, Y . Is X. Y independeut? Why? If they are dependent and you know that X-10, what2 pt 2 pt. you conld expect about Y GOOD LUCK

Answer 1

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7.
One can see the perfect correlation and the almost y = x best fit line through the points in
the scatter plot.

a.
Co variance is a measure of how changes in one variable are associated with changes in a second variable. The reason stated above makes draw a conclusion that variance of X and Y move together,

so, Co variance value for X,y is 1. This is a convinient value, actual value will obviously be equal to 1.

b. Yes, they are dependent, we can see that clearly as the distribution of these points is very symmetric to y=x line, which means dependence. So, if X=10, and y=x, then y = 10. Expected value of Y is 10