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shows the number of games a chess player won in professional competitions, based on the number of games played.
| games played (x) | 10 | 15 | 20 | 25 | 30 |
|---|
f best fit for the situation is y ≈ 1.06x - 6
ss player plays 40 games in the next competition, the expected number of games won would be approximately
33
40
30
36
Step1: Identify the linear model
The given line of best fit is $y = 1.06x - 6$.
Step2: Substitute x=40 into the model
Calculate $y = 1.06(40) - 6$.
Step3: Compute the result
$1.06×40 = 42.4$, then $42.4 - 6 = 36.4$, which approximates to 36.
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