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Chapter 3: Q 75. (page 197)

Measurements on young children in Mumbai, India, found this least-squares line for predicting height y from the arm span x y⏜=6.4+0.93xMeasurements are in centimeters (cm).

According to the regression line, the predicted height of a child with an arm span of 100 cm is about

(a)106.4cm.(c)93cm.(e)7.33cm.(b)99.4cm.(d)15.7cm.

Short Answer

Expert verified

The correct option is (b) 99.4cm

Step by step solution

01

Given information

y⏜=6.4+0.93x

02

Concept

Linear regression is commonly used for predictive analysis and modeling.

03

Calculation

A least-squares line for predicting height Y from arm span X was discovered using measurements on young children in Mumbai, India.y⏜=6.4+0.93x

The units of measurement are centimeters (cm).

We're expected to figure out how tall a child with a 100cm arm span will grow.

That is, x=100cm

After that, a child's anticipated height is computed as follows:

y⏜=6.4+0.93x

=6.4+0.93×100=99.4cm

The predicted height of a child with an arm span of 100cm is about 99.4cm

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