Look at the data below regarding the variables x = lowest barometric pressure as

Question

Look at the data below regarding the variables x = lowest barometric pressure as a cyclone approaches and y = maximum wind speed of the cyclone. Is the value of |r| large enough to conclude that lowest barometric pressure and wind speed of a cyclone are correlated? Use = 0.01. (Use 3 decimal places.)

(b) List some reasons why you think hours lost per individual and fuel wasted per individual might vary more than the same quantities averaged over all the people in a city.

Explanation / Answer

r = -0.977 is fairly big enough to establish the correlation between x and y.

since it is negative, it means they are inversely correlated.

(b)

I think this is the situation of traffic jam being discussed here.

so if these observations are collected by individual, it will come out to be correlated but

1) some individuals may drive very fast and their hours lost will be low while fuel wasted will be high

2) some people drive really slow which again wastes fuel and hours both

3) while most people will wait and drive at normal speed to have good correlation between these 2 variables

if these numbers are averaged for multiple observations, it will average out these different tendencies and varition will seem to be less.

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