Question

college administrators noticed that students who had higher high school gpas tend to have higher college gpas. the data in the table show various high school gpas and college gpas for a sample of students. which scatterplot represents the student data? high school and college gpa high school gpa college gpa 3.25 3.2 3.5 3.0 3.5 2.9 3.25 3.0 2.5 3.0 4 3.0 4 3.1 3.5 3.1 3.25 3.1 3.5 3.0 3.5 3.0 4 3.1 3 3.0 3.5 3.1 2.25 2.9 high school and college gpa

Explanation:

Step1: Analyze the data points

For each pair of high - school GPA and college GPA in the table, check the position on the scatter - plot. For example, when high - school GPA is \(3.25\) and college GPA is \(3.2\), look for the point \((3.25,3.2)\) on the scatter - plot.

Step2: Verify the general trend

Since students with higher high - school GPAs tend to have higher college GPAs (a positive correlation in general, although there are some fluctuations), check if the scatter - plot shows this trend.

Answer:

The scatter - plot provided (the one with the correct \(x\) (high - school GPA) and \(y\) (college GPA) values plotted according to the table) is the correct representation. Without seeing the second scatter - plot in full (since the image is cut off for the second option), but based on the first scatter - plot analysis with the given data points: match each \((x,y)\) (high - school GPA, college GPA) pair from the table to the points on the scatter - plot. For example, for high - school GPA \(2.25\) and college GPA \(2.9\), there should be a point near \((2.25,2.9)\); for high - school GPA \(4\) and college GPA \(3.1\), there should be points near \((4,3.1)\) etc. The scatter - plot that has all these points correctly placed (based on the \(x = \text{High School GPA}\) and \(y=\text{College GPA}\) mapping from the table) is the answer.