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Bot GPT 3.5 Elapsed time (T) Distance from finish line (D)
1 77
2 55
3 40
4 17
The equation of the trend line can be represented as:
Distance = slope * Elapsed time + y-intercept
To find the slope, we can use the formula:
slope = (Δy) / (Δx)
Where Δy is the change in the distance and Δx is the change in the elapsed time.
Δy = 17 - 77 = -60
Δx = 4 - 1 = 3
slope = -60 / 3 = -20
We can substitute the value of slope (-20) and one of the given points (1, 77) into the equation to calculate the y-intercept.
77 = -20 * 1 + y-intercept
77 = -20 + y-intercept
y-intercept = 77 + 20
y-intercept = 97
Therefore, the completed equation of the trend line is:
Distance = -20 * Elapsed time + 97