58. Leave X and Y alone two consistent arbitrary factors with joint pdf

2 f(x, y) = cx y(1 + y) for 0 ? x ? 3 and 0 ? y ? 3,

what's more, f(x, y) = 0 in any case.

(a) Find the worth of c.

(b) Find the likelihood P(1 ? X ? 2, 0 ? Y ? 1).

(c) Determine the joint cdf of X and Y for an and b somewhere in the range of 0 and 3.

(d) Find negligible cdf FX(a) for a somewhere in the range of 0 and 3.

(e) Find the negligible pdf fX(x) straightforwardly from f(x, y) and watch that it is the subordinate of

FX(x).

(f) Are X and Y autonomous?

59. Leave X and Y alone two irregular factors and let r, s, t, and u be genuine numbers.

(a) Show that Cov(X + s, Y + u) = Cov(X, Y ).

(b) Show that Cov(rX,tY ) = rtCov(X, Y ).

(c) Show that Cov(rX + s,tY + u) = rtCov(X, Y ).

60. Infer the equation for the covariance: Cov(X, Y ) = E(XY ) ? E(X)E(Y ).

61. (Math Puzzle) The joint and negligible pmf's of X and Y are incompletely surrendered

the accompanying table.

X\Y 1 2 3

1/6 0 . . . 1/3

2 . . . 1/4 . . . 1/3

3 . . . . . . 1/4 . . .

1/6 1/3 . . . 1

(a) Complete the table.

(b) Are X and Y autonomous?

62. (Straightforward Joint Probability) Let X and Y each have range {1,2,3,4}. The accompanying

recipe gives their joint pmf

I + j P(X = I, Y = j) = 80

Register every one of the accompanying:

(a) P(X = Y ).

(b) P(XY = 6).

(c) P(1 ? X ? 2, 2

______________ is most commonly used to test a differential prediction. A. Hierarchical regression analysis B. Analysis of Variance C. Logistic regression analysis D. Polynomial regression analysis Problem 1: 1) What is regression analysis? 2) What are the purposes of regression analysis? 3) What are the assumptions in regression analysis? 4) Show 3 real examples of regression analysis. (not examples covered in the class)What is the main difference between HighLow Method and Regression Analysis? A] They are the same B} Regression Analysis is used in aggressive periods, but HighLow Method is used always C} HighLow Method is based on 2 periods, but Regression analysis consider all data so Regression analysis is more trustable D) HighLowr Method is based on high costs, but Regression analysis considers all costs E) Regression Analysis is based on 2 periods, but HighLow Method considers all data Which of the following statements about using regression analysis is true? and why? explain your answer aRegression analysis always ignores outliers. bRegression analysis uses two points of data to arrive at the cost estimate equation. cThe R2 generated by the regression analysis is a measure of how well the regression analysis cost equation fits the data. dRegression analysis is a subjective cost estimation method