Q 74. Measurements on young children i... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

Chapter 3: Q 74. (page 197)

Measurements on young children in Mumbai, India, found this least-squares line for predicting height y from the arm span x: $\overset{铃�}{y} = 6.4 + 0.93 x$
Measurements are in centimeters (cm).
How much does height increase on average for each additional centimeter of arm span?
$(a) 0.93 c m (c) 5.81 c m (e) 7.33 c m (b) 1.08 c m (d) 6.4 c m$

Short Answer

Expert verified

The correct option is (a) $0.93 c m$

Step by step solution

Given information

$\overset{铃�}{y} = 6.4 + 0.93 x$

Concept

Linear regression is commonly used for predictive analysis and modeling.

Explanation

In Mumbai, India, researchers discovered a least-squares line for forecasting height from arm span $x$ height $\overset{铃�}{y} = 6.4 + 0.93 x$

The units of measurement are centimeters (cm). The dependent variable is height, and the independent variable is arm span. The slope is the amount of independent variable increase for a unit increment in the independent variable. The slope of the supplied regression line is $0.93$ That is, for every unit increase in arm spread, there will be a $0.93$ increase in height. As a result, for every additional centimeter of arm span, there will be a $0.93 c m$ increase on average. Hence, the answer is (a) $0.93 c m$