Description
economy of sports project 5 : hot hand. compute conditional prob. requirements, example and my data are in the files.
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Explanation & Answer
Attached.
Question 1
p(hit | 3 misses) = 0
p(hit | 2 misses) =
p(hit | 1 miss) =
p(hit) =
0.297297
0.301887
0.47
p(hit | 1 hit) =
p(hit | 2 hit) =
p(hit | 3 hit) =
Ρ=
0.673913
0.666667
0.684211
0.371569
Question 2
Yes. It is because the hit probability that is given to a person who made three hits is higher than
the standard probability of hitting. That is, the three hits probability is 0.684211 and the standard
probability is 0.47.
Question 3
The correlation for the first two rows is 0.371569. it means that if a person is successful in the
last game, he or she has more chances of succeeding the game. This is because, with a 0.371569, it
shows that there is a lower correlation among the points gained in games that are played.
Question 4
hits
47
misses
53
runs
42
expected runs
43
z-statistic
1.645
Question 5
Question 6
Yes. It is because the runs come below the z-statistic which is 1.645 and it is equivalent to p =
0.1
EVA
0
Shooting Percentage
Correlation Coefficient
(# of hits in a row prior to shot)
(# of misses in a row prior to shot)
# of shots following 1 make
#of shots made following 1 make
conditional probability given 1 make
# of shots following 2 makes
# of shots made following 2 makes
con...