Computational Formula

Question

Illinois lottery
a. In the Illinois Little lotto game, you win the jackpot by selecting five different whole numbers from 1-39 and getting the same five numbers (in any order) that are later drawn. What is the probability of winning a jackpot in this game?
b. In the Illinois Pick 3 game, you win a bet by selecting three digits (with repetition allowed) and getting the same three digits in the exact same order as they are later drawn. What is the probability of winning this game?
c. The Illinois pick 3 game returns $500 for a winning $1 ticket. What should be the return if Illinois were to run this game for profit?

Question

For the following data:   a. find the   regression equation for predicting Y from X   b. use the   regression equation to find a predicted Y for each X.   c. Find the   differences between the actual Y value and the predicted Y value for each   individual, square the differences, and add the square values to obtain the   SS residual.   d. calculate   the Pearson correlation for these data. Use r2 and SSy to compute SS residual   with equation 16.11 you should obtain the same value as in part c.   x y   7 16   5 2   6 1   3 2   4 9    

Question

A   researcher obtained to following multiple-regression equation using two   predictor variables: Y=0.5X1+4.5X2+9.6. given that SSy=210, the SP value for   X1 and Y is 40 and the SP value for X2 and Y is 9, find R2 the percentage of   variance accounted for by the equation.