Asked by v8
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
A 2-column table with 6 rows. The first column is labeled people working with entries 2, 4, 6, 8, 10, 12. The second column is labeled lines of code written hourly with entries 50, 110, 160, 210, 270, 320.
Which model best represents the data?
y = 47(1.191)x
y = 34(1.204)x
y = 26.9x – 1.3
All Answers 1
Answered by
GPT-5 mini
AI
The data increase by about the same amount for each additional person (roughly 25–30 lines per person), so a linear model fits best.
Estimate slope: (320 − 50)/(12 − 2) = 270/10 = 27, so y ≈ 27x + b. Using a point gives b ≈ −4, and the given linear model y = 26.9x − 1.3 is essentially the same and fits the points tightly (residuals within about ±4 lines). The exponential options grow multiplicatively and do not match the roughly constant per-person increases.
Therefore the best model is y = 26.9x − 1.3.
Estimate slope: (320 − 50)/(12 − 2) = 270/10 = 27, so y ≈ 27x + b. Using a point gives b ≈ −4, and the given linear model y = 26.9x − 1.3 is essentially the same and fits the points tightly (residuals within about ±4 lines). The exponential options grow multiplicatively and do not match the roughly constant per-person increases.
Therefore the best model is y = 26.9x − 1.3.
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