Study B X Y 4 5 8 7 8 6 13 Use the following data set and calculate the following: ΣΧ. ΣΥ (Σ)(Σ ) а. b. ΣΧΥ c. Pearson r
Step 4 -92,850, and (c) Use a calculator to verify that ΣΧ-56, ΣΧ2-826, Σ y·642. Σ y, xy 8.604. Compute r. As x increases from 3 to 21 months, does the value of r imply that y should tend to increase or decrease? Explain your answer First, we construct a computation table so that we can calculate the values of x2, y2, and xy. Then we sum each column to compute each summation. 3600 9025 12 14 21 60 95...
Compute the sign of the following permutations: (a) (1, 4, 3, 6, 7)(5, 8, 9, 10). (b) σ ∈ Sn, i 7→ n + 1 − i. (c) Show that this initial configuration of the 15 puzzle is not solvable 3 1 15 13 2 8 5 9 12 7 11 4 14 6 10 − (d) Suppose that (i, j) ∈ Sn is a transposition and that i < j. Find an expression (in terms of i and j...
5. 7,3,9,5,4 The values of a variable X are: Compute the following: a) x ΣΧ) c) Σ(x-2) n each nw
9. Let X and Y be two random variables. Suppose that σ = 4, and σ -9. If we know that the two random variables Z-2X?Y and W = X + Y are independent, find Cov(X, Y) and ρ(X,Y). 10. Let X and Y be bivariate normal random variables with parameters μェー0, σ, 1,Hy- 1, ơv = 2, and ρ = _ .5. Find P(X + 2Y < 3) . Find Cov(X-Y, X + 2Y) 11. Let X and Y...
X 3 5 7 5 6 7 9 4 8 6 Y 6 9 12 10 14 12 14 8 15 10 Discuss the relation between X and Y using an appropriate method. If possible, try to find the relation between X and Y treating X as independent variable?
Please ignore part abc 4. Suppose that (X1, Yİ), , (XN,Yv) denotes a random sample. Let Si = a + bX, T, e+ dy, where a, b, c and d are constants. Let X ΣΧ, and σ2-NL Σ(x,-x)2, with the analogous expressions for y S, T. Let σΧΥ-ΝΤΣ (Xi-X)(X-Y), and let P:XY ƠXY/(ƠXƠY), with the analogous expressions for S, T. (a) Show that σ bbe (b) Show that ớsı, d ớx (c) Show that psT ST (d) How do the...
m x MR 1 102.5 2 128 3 136 4 103 5 130 6 127 7 116 8 115 9 146 10 112.3 11 125 12 104 Average d2 1.128 d3 0.853 Compute limits and draw charts (by hand) Evaluate any potential special causes
Use Matlab Given: x = [13, 5, 7, 9, 1, 4, 7, 10, 13] Use one 'for loop' to create the matrix y of dimension 5X2, using the index to program the address and the value of each element of y; and y = x' Given, x = [2, 3, 4, 5, 3, 4, 5, 6] Use two 'for loops' to create the matrix of dimension 4X2 Use a while statement to determine when the sum of the numbers in...
Job Seeker (k) 1 2 3 4 5 5 6 7 8 9 10 11 12 13 14 15 Interviews (Xi) 3 5 114 6 7 6 3 Job Offers (Y) 0 2 1 2 2 4. 3 5 1 4 6 100 7 4 8 1 1 8 4 2 (1) (2 points) Your friend Paul, who took Econ 140A last year, says that you should run a hypothesis test to evaluate Cathy's statement. If the null hypothesis is...