Reliability of Estimates
Reliability of Estimates
| Test 1 mark, \(x\) | \(17\) | \(19\) | \(10\) | \(25\) | \(28\) | \(30\) | \(22\) | \(27\) | \(12\) |
|---|---|---|---|---|---|---|---|---|---|
| Test 2 mark, \(y\) | \(18\) | \(19\) | \(12\) | \(23\) | \(27\) | \(26\) | \(19\) | \(30\) | \(9\) |
- Find the equation of the regression line of
- \(y\) on \(x\)
- \(x\) on \(y\)
- Tarzan scored \(23\) in test \(2\) but missed test \(1\). Use the appropriate line to estimate what his mark for test 1 should be. Is this estimated value reliable? Why?
Video Solution:
Video solution locked
A free account saves your progress; this video needs a course plan.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.
Create a free account to practise similar questions.
Answer:(i)(a) \(y=0.91548x+1.00659\) (b) \(x=0.96528y+1.48380\) (ii) \(23.7\). Reasonably reliable if Tarzan and test conditions are comparable to the sample: the estimate is an interpolation and \(r=0.940\) indicates a strong positive linear correlation.
Need help? Join our JC Math tuition classes.
Learn more