1.findtheregressionequationforpredictingfinalscorefrommidtermscore,basedonthefollowinginformation:averagemidtermscore=70SD=10, average final score = 55 SD 20, r=0.60

2. A) A die will be rolled some number of times, and you win $1 if it shows an ace (.) more than 20% of the time. which is better: 60 rolls, or 600 rolls? Explain

B) as in (A) but you win the dollar if the percentage of aces is exactly 16 2/3%.

3. A box contains 10,000 marbles, of which some are red and the others blue. To estimate the percentage of red marbles in the box, 100 are drawn at random without replacement. Among the draws, 1 turns out to be red. The percentage of red marbles in the box is estimated as 1%, with an SE of 1%, True or False: a 95% confidence interval for the percentage of red marbles in the box is 1% +- 2% Explain

4. 3 different people take simple random samples of size 400 from the box of 100,000 tickets each marked 0 or 1 without knowing its contents. The number of 1's in the first sample is 72. In the second, it is 84. In the third, it is 98. Each person estimates the SE by the bootstrap method a)1st person estimates the % of 1's in the box as ____, and figures this estimate is likely to be off by ___ or so b) the second person estimates the % of 1's in the box as___, and figures this estimate is likely to be off by ___or so. c) the 3rd person estimates the percentage of 1's in the box as___, and figures this estimate is likely to be off by ___ or so.

5. A coin is tossed 100 times. estimate the chance of getting 60 heads.

6. A coin is tossed 10000 times. estimate the chance of getting a)4900 to 5050 heads? b) 4900 heads or fewer c)5050 heads or more