Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Three made-up kites fly in winds of , and m/s, and reach heights of , and m. Find the slope and the intercept of the least-squares line with and . Then find the three residuals, check that they add up to , and find the SSE. Give fractions as decimals to three places.
The residual of a point is , observed minus predicted. The sum of squared residuals (SSE) scores a line. The least-squares line has the smallest SSE, and its residuals add up to .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Slope. and . So m per m/s.
Step 2. Intercept. m.
Step 3. Residuals. The predictions are , and m. The residuals are , and m. They add up to .
Step 4. SSE. .
Answer: , with SSE .
What if? Try the line . Its residuals are , and m, and its SSE is , a little larger, as least squares promises.
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