Question

The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 24.8 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 24.8 cm, what is the single value that is the best predicted height for that person? Click the icon to view the technology output 0 Technology Output The single value that is the best predicted height is cm. (Round to the nearest whole number as needed.) The regression quot equations Height 55.5+5.68 Foot Length Predictor Coef SE Coer 55.53 11.45 Foot Length 5.6751 0.4142 P Constant 0.000 4.85 13.70 0.000 3-5.50367 R-39-73.54 R-Sq(adj) - 72.81 Predicted Values for New Observations New Obs Fit se Fit 958 PI 1196.272 1.621 (192.515, 200.029) (185.835, 206.709) 95 CT Values of Predictors for New Observations Foot New Obs Length 1 24.0 Print Done Enter your answer in the answer box and then click Check Answer. ?

Answer 1

The regression equation is :

Height = 55.5+5.68*Foot length

Given : Foot length = 24.8

The predicted Height for foot length=24.8 is

= 55.5+5.68*24.8

=55.5+140.864

=196.364 $\approx$ 196 (Rounded off to nearest whole number)

The single value that is the best predicted height is 196cm.

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