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Exercises Graphs and straight lines

Example 4 from Precalculus, 2.4 Fitting Linear Models to Data

Finding a Least Squares Regression Line

Find the least squares regression line using the cricket-chirp data in Table 1.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

1
Solution
1. Enter the input (chirps) in List 1 (L1).
2. Enter the output (temperature) in List 2 (L2). See Table 2.
  
  L1 44 35 20.4 33 31 35 18.5 37 26
  
  L2 80.5 70.5 57 66 68 72 52 73.5 53
  
  Table 2
3. On a graphing utility, select Linear Regression (LinReg). Using the cricket chirp data from earlier, with technology we obtain the equation:
  $T (c) = 30.281 + 1.143 c$

How did it go?

PreviousFinding a Break-Even Point

From Precalculus (1st edition) by OpenStax (Rice University), section 2.4, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.