The table below shows the average lengths and wingspans, in inches, for five types of birds. the lengths measure from the bill to the tail and the wingspans measure from tip to tip. length (x) 3.75 8.8 13.58 22.65 34 wingspan (y) 4.25 10 26.77 34.85 80.4 the line of best fit for the situation is . if the length of a bird is 45 inches, its wingspan would be would be approximately . nextreset

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.