Question

8.sp.a.1 repetitive practice
create a scatter plot using the data in the table.

1. age 3 4 5 6 7

height 34 38 42 45 48

1. grade 1 2 3 4 5

students 19 12 17 14 20

1. degrees 65 75 85 95 105

ice cream sold 50 55 65 85 10

1. degrees 35 40 45 50 55

people wearing mittens 40 37 32 25 18

1. using the scatter - plot from question 1, tell what kind of correlation the data shows. does there appear to be an outlier?
2. using the scatter - plot from question 2, tell what kind of correlation the data shows. does there appear to be an outlier?
3. using the scatter - plot from question 3, tell what kind of correlation the data shows. does there appear to be an outlier?
4. using the scatter - plot from question 4, tell what kind of correlation the data shows. does there appear to be an outlier?

Explanation:

Step1: Analyze question 1 data

The data pairs are (3, 34), (4, 38), (5, 42), (6, 45), (7, 48). As age increases, height generally increases. So, there is a positive correlation. There are no points that are far - off from the general pattern, so no outlier.

Step2: Analyze question 2 data

The data pairs are (1, 19), (2, 12), (3, 17), (4, 14), (5, 20). There is no clear increasing or decreasing trend. So, there is no correlation. There are no outliers as all points are in a similar range.

Step3: Analyze question 3 data

The data pairs are (65, 50), (75, 55), (85, 65), (95, 85), (105, 10). As the degrees increase, the number of ice - creams sold first increases and then there is a drastic drop at (105, 10). The point (105, 10) is an outlier. There is a non - linear positive correlation until the outlier.

Step4: Analyze question 4 data

The data pairs are (35, 40), (40, 37), (45, 32), (50, 25), (55, 18). As the degrees increase, the number of people wearing mittens decreases. So, there is a negative correlation. There are no outliers as the points follow the general decreasing trend.

Answer:

1. Positive correlation, no outlier
2. No correlation, no outlier
3. Non - linear positive correlation (with an outlier at (105, 10))
4. Negative correlation, no outlier