The scatter plot and line of best fit below show the length of 10 people's femur (the long leg bone in the thigh) and their height in centimeters. Based on the line of best fit, what would be the predicted height for someone with a femur length of 66 cm?
Line Plot Placements In Order: (30, 127), (36, 141), (42, 155), (48, 169)
9 answers
Without a visual of the scatter plot and line of best fit, it is difficult to provide an accurate prediction. However, using the given data points we can estimate the answer by finding the equation of the line of best fit and plugging in the femur length of 66 cm.
Diagonal Line Plot Placements In Order: (30, 127), (36, 141), (42, 155), (48, 169)
Using the given diagonal line plot placements, we can calculate the slope and intercept of the line of best fit:
Slope = (change in y)/(change in x) = (169-127)/(48-30) = 42/18 = 7/3
Intercept = y-intercept - slope * x-intercept = 127 - (7/3)*30 = 37
So the equation of the line of best fit is:
y = (7/3)x + 37
To find the predicted height for someone with a femur length of 66 cm, we plug in x = 66:
y = (7/3)*66 + 37 ≈ 220
Therefore, the predicted height for someone with a femur length of 66 cm is approximately 220 cm.
Slope = (change in y)/(change in x) = (169-127)/(48-30) = 42/18 = 7/3
Intercept = y-intercept - slope * x-intercept = 127 - (7/3)*30 = 37
So the equation of the line of best fit is:
y = (7/3)x + 37
To find the predicted height for someone with a femur length of 66 cm, we plug in x = 66:
y = (7/3)*66 + 37 ≈ 220
Therefore, the predicted height for someone with a femur length of 66 cm is approximately 220 cm.
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