Question: When a certain apparatus, I stretched rubber bands varying amounts, shot them, and recorded the distance they flew. The data is in pairs (stretch, fly) and the units are in inches. Use the following data to construct a scatter plot. Stretch being on the x-axis.

Pull Fly

3.50 49
3.50 54
3.50 56
4.00 70
4.00 84
4.00 72
4.00 88
4.25 91
4.25 105
4.25 105
4.25 125
4.50 143
4.50 156
4.50 162
4.50 166
4.50 167
4.50 174
4.75 153
4.75 165
4.75 167
4.75 175
4.75 193
5.00 160
5.00 174
5.00 191
5.00 193
5.00 197
5.00 203
5.00 204
5.00 210
5.00 221

*Based on scatter plot, estimate what you think a fair value of r might be ( do before calculations).

*Calculate r. What fraction of the distance flown is explained by the amount stretched.

*Find the equation of the regression line. How far does he line predict a band stretched 4 inches will fly?

*Plot the line on the data. Do you see any problems with the fit?