1. Construct a scatter plot using the data provided:
- Plot the number of houses on the x-axis and the number of trees on the y-axis.
- Points to plot: (280, 450), (120, 390), (60, 400), (380, 38), (100, 450), (20, 570), (220, 245), (340, 150), (150, 360).
2. Determine the relationship between the number of houses and trees:
- The relationship appears to be negative, as the number of trees generally decreases as the number of houses increases.
- The relationship is nonlinear, as the points do not form a straight line.
- The relationship is weak, as the points are widely scattered.
3. Identify any outliers:
- The point (380, 38) is an outlier because it has a high number of houses but a very low number of trees compared to the other points.
4. Predict the number of trees if there were 300 houses:
- Using a trend line, estimate the value. The point (340, 150) is close to 300 houses, and the trend suggests fewer trees as houses increase.
- Predict approximately 200 trees for 300 houses.
5. Predict the number of trees if there are 160 houses:
- Using the trend line, estimate the value. The point (150, 360) is close to 160 houses.
- Predict approximately 350 trees for 160 houses.
6. Determine the best-fitting ordered pair for the trend:
- The ordered pair (120, 180) would best fit the trend of the scatter plot, as it lies along the general trend line.
7. Predict the number of houses if there were 180 trees:
- Based on the trend, if there were 180 trees, there would be more than 200 houses, as the number of trees decreases with an increase in houses. The point (220, 245) is close to 180 trees, indicating that the number of houses would be around 220.
Parent Tip: Review the logic above to help your child master the concept of scatter plot worksheet.
