Question

based on the scatter plot below, which is a better prediction for y when x = 46?

Explanation:

Step1: Analyze the scatter - plot trend

Observe the general pattern of the scatter - plot. As \(x\) increases, \(y\) has an overall increasing trend (though not perfectly linear).

Step2: Evaluate the two given values

The value \(x = 46\). Looking at the scatter - plot, the points for higher \(x\) values (closer to 60 - 80) have \(y\) values in the range of 60 - 100. The value \(y = 15\) is much too low compared to the general trend of the data points for \(x\) values around 40 - 80. The value \(y=69\) is more in line with the trend of the data points for \(x\) values in the 40 - 80 range.

Answer:

69