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11.08 Fitting lines to bivariate data

Interactive practice questions

Scientists conducted a study where each person was asked to read a paragraph and then recount as much information as they can remember. They found that the longer the paragraph, the less information each person could retain.

If the length of the paragraph were plotted (on the horizontal axis) against the amount of information retained (on the vertical axis), what kind of correlation would the graph show?

Positive correlation

A

Negative correlation

B

Positive correlation

A

Negative correlation

B
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Consider the table of values that show four excerpts from a database comparing the income per capita of a country and the child mortality rate of the country. If a scatter plot was created from the entire database, what relationship would you expect it to have?

The following scatter plot shows the data for two variables, $x$x and $y$y.

The following scatter plot graphs data for the number of people in a room and the room temperature collected by a researcher.

Outcomes

VCMSP373 (10a)

Use digital technology to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation, make predictions based on this straight line and discuss limitations

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