### Home > INT1 > Chapter 5 > Lesson 5.3.2 > Problem5-106

5-106.

Chris got a summer job at an environmental sciences lab. He was using a microscope to measure the length of a particular organelle in tree sap cells and the diameter of the cell itself. Chris collected the following data. A “$µm$” is a micrometer or one-millionth of a meter.

  Length of Organelle ($µm$)  Diameter of Cell ($µm$) $2$ $9$ $7$ $4$ $4$ $9$ $6$ $2$ $46$ $34$ $36$ $42$ $46$ $36$ $42$ $45$
• Use your calculator to make a scatterplot.
Complete and draw $LSRL$.
Verify linearity with a residual plot.
Describe the form, direction (including the slope and $y$-intercept in context),
strength (including an interpretation or $r$ and $R^2$), and possible outliers.
Draw upper and lower bounds for the model used for prediction.

1. What would you include in a mini-report that fully describes all aspects of a linear association? Make as detailed a list as you can.

2. Fully describe all aspects of the linear association in context. Include appropriate graphs.