Question

based on the scatter plot below, which is a better prediction for y when x = 32?

Explanation:

Step1: Analyze the scatter - plot trend

Observe the general trend of the data points in the scatter - plot. Notice the range of \(y\) - values for different \(x\) - values.

Step2: Locate \(x = 32\)

Estimate the position of \(x = 32\) on the \(x\) - axis. Then, based on the cluster and trend of the data points around \(x = 32\) (looking at the \(y\) - values of nearby points), we can see that a value of \(y = 63\) is more in line with the general trend of the data points in that region. A value of \(y=100\) is much higher than what the trend (by observing the neighboring data points) would suggest for \(x = 32\).

Answer:

63