the scatter plot and line of best fit below show the length of 10 peoples femur (the long leg bone in the…

the scatter plot and line of best fit below show the length of 10 peoples 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 54 cm?

the scatter plot and line of best fit below show the length of 10 peoples 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 54 cm?

Answer

Explanation:

Step1: Find the slope of the line

We can use two points on the line of best fit, for example, ((30, 127)) and ((36, 141)). The slope (m) is calculated as (m=\frac{y_2 - y_1}{x_2 - x_1}). So, (m=\frac{141 - 127}{36 - 30}=\frac{14}{6}=\frac{7}{3}).

Step2: Find the equation of the line

Using the point - slope form (y - y_1=m(x - x_1)) with the point ((30, 127)) and (m = \frac{7}{3}). (y-127=\frac{7}{3}(x - 30)) (y-127=\frac{7}{3}x-70) (y=\frac{7}{3}x + 57)

Step3: Predict the height for (x = 54)

Substitute (x = 54) into the equation (y=\frac{7}{3}x + 57). (y=\frac{7}{3}\times54+57) (y = 7\times18+57) (y=126 + 57) (y = 183)

Answer:

183