10,000 marathon hopefuls are timed (to the nearest minute) over two trials. The data was give:
Trial 1: Average=130, SD= 20
Trial 2: Average=120, SD=15
The correlation r=0.6
The scatter plot is football shaped(and homoscedastic) and the normal curve can be used as needed.
a) Only runners who have times of 96 minutes or less on Trial 2 qualify for the next stage. How many runners quliafy?
b) There are around 120 runners who have times on Trial 1 of 110 minutes. What time would you predict fort hem on Trial 2?
c) What is the RMS error of your prediction in Part b?
d) About how many of the 120 runners in Part b qualify fort he next stage?