Question

Describe the relationship between the number of "at bats" and the number of hits using the data in the scatter plot.

A.)For these data, as the number of at bats increases, the number of hits tend to increase.

B.) For these data, the number of at bats and hits do not appear to be related.

C.)For these data, as the number of hits increase, the number of at bats tend to stay the same.

D.) For these data, as the number of at bats increases, the number of hits tend to decrease.​

Answer 1

Answer: A.) For these data, as the number of at bats increases, the number of hits tend to increase.

This is because the points seem to trend upward as we move from left to right. This makes sense because the more attempts you get, the more hits you're expected to get.

Assume that someone has a batting average of 0.300; this means that if they got 1000 attempts, then we expect about 0.300*1000 = 300 hits. Now if they got 2000 at bats this time, then we expect about 0.300*2000 = 600 hits.

Of course things won't fit this perfectly since everything in life has random statistical error, but this gives a good idea of the upward trending data. The two variables (at bats and hits) are strongly related. We can say the variables have strong positive correlation.