Question

classify the scatter plots as having a positive, negative, or no correlation.
1.
2.
3.
4.
5.
6.

1. a history teacher asked her students how many hours of sleep they had the night before a test. the data below shows the number of hours the student slept and their score on the exam. plot the data on a scatter plot.

hours slept 8 7 7 8 6 5 7 4 9 7
test score 83 86 74 88 76 63 90 60 89 81
test score

of hours slept

Explanation:

Step1: Understand scatter plot correlation rules

Positive correlation: as \(x\) (hours slept) increases, \(y\) (test score) increases. Negative correlation: as \(x\) increases, \(y\) decreases. No correlation: no clear pattern.

Step2: Analyze each scatter - plot (1 - 6)

1. No clear pattern (points are scattered randomly).
2. As \(x\) increases, \(y\) decreases (negative correlation).
3. No clear pattern (points are scattered randomly).
4. As \(x\) increases, \(y\) increases (positive correlation).
5. As \(x\) increases, \(y\) decreases (negative correlation).
6. No clear pattern (points are scattered randomly).

Step3: Plot data for question 7

Take each pair \((\text{Hours Slept},\text{Test Score})\) as a coordinate. For example, for \((8,83)\), go to \(x = 8\) on the hours - slept axis and \(y=83\) on the test - score axis and mark a point. Do this for all pairs \((8,83),(7,86),(7,74),(8,88),(6,76),(5,63),(7,90),(4,60),(9,89),(7,81)\).

Answer:

1. No correlation.
2. Negative correlation.
3. No correlation.
4. Positive correlation.
5. Negative correlation.
6. No correlation.
7. Plot the points \((8,83),(7,86),(7,74),(8,88),(6,76),(5,63),(7,90),(4,60),(9,89),(7,81)\) on the given scatter - plot grid.