Question

A random sample of 11 high schools was selected from all the high schools in michigan. the percent of students who are eligible for free/reduced lunch and the average sat math score of each high school in the sample were recorded. students with household income below a certain threshold are eligible for free/reduced lunch. here are a scatterplot with the least-squares regression line added, a residual plot, and some computer output:

What does the scatterplot and least-squares regression line suggest about the relationship between the percent of students eligible for free/reduced lunch and average SAT math score?
A) Negative correlation
B) Positive correlation
C) No correlation
D) Cannot be determined

Answer 1

The scatterplot and least-squares regression line suggest a negative correlation between the percent of students eligible for free/reduced lunch and average SAT math scores.

Step-by-step explanation:

The scatterplot and least-squares regression line suggest that there is a negative correlation between the percent of students eligible for free/reduced lunch and average SAT math scores.

In a negative correlation, as one variable increases, the other variable decreases. In this case, as the percent of students eligible for free/reduced lunch increases, the average SAT math score tends to decrease.

This can be seen in the scatterplot where the data points form a downward sloping line.