2 Hot Hand 2. Find your shooting percentage. (Just sum the data and divide by 100). = 53%..... 53 makes. 47 misses 3. Find the correlation coefficient. Correlation coefficient= -0.255728314 4. Find the conditional probabilities for a make following 3 misses, 2 misses, 1 miss, 1 make, 2 makes, 3 makes. You can use the program I provided. Just paste you data over mine in the top row. 3 misses: 1 2 misses: 0.75 1 miss: 0.659574468 1 make: 0.403846154 2 makes: 0.428571429 3 makes: 0.444444444 6. Interpret your results in the space provided. 7. Next, count the number of runs in your series. For example the series 11001110 has 4 runs. . Runs = 63 8. Go to http://www.quantitativeskills.com/sisa/statistics/ordinal.htm a. Enter the data and do the WW runs test. b. Find the expected number of runs and the z-statistic. The z-statistic is the number of standard deviations that your outcome lies from the mean of the distribution of runs. Expected number of runs: 50.8 Z-Statistic: 2.4573 9. Show where your runs number falls on the normal distribution provided. 10. Enter the statistics in the space provided. Wald-Wolfowitz runs test Probability of observing 63 or fewer runs while 50.8 were expected. (std dev (63)= 4.9566) z-value= 2.4573 p: 0.007; 1-p= 0.993 c.c.z-val= 2.5582 p: 0.0053; 1-p= 0.9947 exact probability of 63 or fewer runs p: 0.00506; 1-p= 0.9949 11. Interpret your results in the space provided