Given:
Type of
bird length wingspan
1 3.75 4.25
2 8.8 10
3 13.58 26.77
4 22.65 34.85
5 34 80.4
I used Excel to create the scatter plot and transferred it to paint to depict the line of best fit. Pls. see attachment.
1. Choose 2 points that are close to the best fit line.
Based on my own graph, Bird 1 and 3 are the ones closest to the line of best fit.
x y
1 3.75 4.25
3 13.58 26.77
2) Calculate the slope of the line using these two points.
slope,m = change in y / change in x
m = (26.77 - 4.25) / (13.58 - 3.75) = 22.52 / 9.83 = 2.29
m = 2.29
3) write the equation of the line using the value of m = 2.29
y - y1 = m(x-x1)
y - 4.25 = 2.29(x-3.75)
y = 2.29(x-3.75) + 4.25
If the length of a bird is 45 inches, its wingspan would be would be approximately ___ inches.
We will use the above formula to answer the 2nd question.
y = 2.29(x-3.75) + 4.25
y = 2.29(45 - 3.75) + 4.25
y = 94.46 + 4.25
y = 98.71 inches.
If the length of a bird is 45 inches, its wingspan would be would approximately be 98.71 inches.
