Question

what relationship is demonstrated by the encoding of data on this chart? select one a negative relationship is shown by the downward trend in the data points and the fitted red trend line encoding does not support understanding the existence of a relationship between variables on a chart a positive relationship is shown by the upward trend in the data points and the fitted red trend line encoding dependency and correlation evaluating the impact of studying on academic achievement test scores

Explanation:

Step1: Analyze the trend of the data

In a scatter - plot, if the fitted line has a downward trend (as \(x\) increases, \(y\) decreases), it represents a negative relationship. Here, as the test scores (\(x\) - axis) increase, the hours studied (\(y\) - axis) decrease.

Step2: Match with the options

The option “A negative relationship is shown by the downward trend in the data points and the fitted red trend line” correctly describes the relationship. The upward trend (positive relationship) is incorrect as per the graph. The option about encoding not supporting the relationship is wrong because the scatter - plot with the trend line does show a relationship.

Answer:

A negative relationship is shown by the downward trend in the data points and the fitted red trend line.