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dybincka
3 months ago
12

A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scat

terplot shows the height, in centimeters (cm), and the foot length, in cm, for each high school senior from the sample. The least-squares regression line is shown. The computer output from the least-squares regression analysis is also shown.
(a) Calculate and interpret the residual for the high school senior with a foot length of 20cm and a height of 160cm .

Mathematics
1 answer:
babunello [11.8K]3 months ago
3 0

Step-by-step explanation:

The equation for the best fitting line is y = 2.599x + 105.08. When x is set to 20, the predicted height becomes y = 157.06. However, the actual height recorded is 160 cm, therefore, the residual is calculated as:

160 cm − 157.06 cm = 2.94 cm

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