9.4.1.3

Use scatterplots to analyze patterns and describe relationships between two variables. Using technology, determine regression lines (line of best fit) and correlation coefficients; use regression lines to make predictions and correlation coefficients to assess the reliability of those predictions.

Example Problems
Seth is collecting data on his height over the years.
Seth has created a
scatter plot that shows the relationship between his height, , and the number of years, . He thinks the data might show a linear relationship.

What graph will show a
linear relationship if Seth's data is indeed linear?
Charles is collecting data on how many grapes his sister eats each day.
Charles has created a
scatter plot that shows the relationship between the number of grapes his sister has eaten, , and the number of days, . He thinks the data might show a linear relationship.

What graph will show a
linear relationship if Charles's data is indeed linear?
Ivy is dropping small steel balls from rest and is collecting data on how far they fall over time.

Ivy has created a scatter plot that shows the relationship between the distance fallen,
, and the time, . She thinks the data might show that is a quadratic function of .

What graph will show a
linear relationship if is indeed a quadratic function?
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