Question

based on the scatter plot below, which is a better prediction for y when x = 56?

Explanation:

Step1: Analyze the scatter - plot trend

Observe the general direction of the data points in the scatter - plot. As \(x\) increases, \(y\) generally shows a decreasing trend.

Step2: Locate \(x = 56\)

Estimate the position of \(x = 56\) on the \(x\) - axis. Then, based on the trend of the data points around \(x = 56\), compare the two given values. The value of \(y\) at \(x = 56\) should be in line with the downward - trending data points. Since 78 is a relatively high value and 45 is more in line with the decreasing trend of the data points as \(x\) increases.

Answer:

45