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 15.2 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 15.2 ​cm, what is the single value that is the best predicted height for that​ person?

Answer 1

Answer:

76 inches

Step-by-step explanation:

It should be understood that 15.2cm is equal to 5 inches.

Since the height = 5 * size of the foot

= 5 * 15.2 = 76

Therefore, a person with 15.2cm as the size of the foot will have the height of 76 inches.

Answer 2

Using the regression model produced by the technology output. The best predicted value for the person's height would be 123.288 cm.

Using the Regression equation produced by the technology used :

• Height = 52.0 + 4.69(foot length)

For a foot length of 15.2 cm :

The predicted height value can be calculated by substituting the foot length value into the equation thus :

Height = 52.0 + 4.69(15.2)

Height = 52.0 + 71.288

Height = 123.288 cm

The best predicted value for the person's height would be 123.288 cm.

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