Consider the following data set:
| x | y |
|---|---|
| 3 | 1.2 |
| 4 | 1.4 |
| 5 | 1.6 |
| 6 | 1.75 |
| 7 | 1.85 |
The data is also provided in Q8-1.rda (the data frame is called Q8).
- Plot the data, draw the regression line and estimate the equation of the line
- What is the correlation coefficient?
- Interpolate the y-value for x = 5.5
- Extrapolate the y-values for x = 0.1 and x = 15
Consider the extended data set below:
| x | y |
|---|---|
| 0.1 | -1.25 |
| 0.2 | -0.7 |
| 1 | 0.4 |
| 2 | 0.9 |
| 3 | 1.2 |
| 4 | 1.4 |
| 5 | 1.6 |
| 6 | 1.75 |
| 7 | 1.85 |
| 8 | 1.95 |
| 9 | 2.05 |
| 10 | 2.1 |
| 12 | 2.25 |
| 14 | 2.35 |
| 15 | 2.4 |
The data is also provided in Q8-2.rda (the data frame is called Q8Extended).
A Study is undertaken to validate the use of an iPhone inclinometer to measure knee flexion. The ‘Gold Standard’ is a Lafayette Long-Armed Goniometer. Multiple knee flexion angles are measured with each device and the paired data are provided in the file goniometer.rda.