Question

ch 4 the correlation value, r, makes no distinction between the explanatory and response variable. true false question 11 1 pts ch 5 the regression line for body fat index (bfi) as a function of tricep thickness (mm) is bfi = 14.59 + 0.74*triceps what is the average amount by which bfi changes when tricep thickness increases by 1 mm? 15.33 0.74 14.59 1.48

Explanation:

Step1: Recall the regression line formula

The general form of a simple linear regression line is \(y = a+bx\), where \(b\) is the slope.

Step2: Identify the slope in the given regression line

In the regression line \(bfi = 14.59 + 0.74\times triceps\), comparing with \(y=a + bx\), here \(y = bfi\), \(x = triceps\), \(a=14.59\) (the y - intercept) and \(b = 0.74\) (the slope).

Step3: Interpret the slope

The slope \(b\) in a regression line \(y=a+bx\) represents the change in \(y\) (in this case \(bfi\)) for a unit change in \(x\) (in this case tricep thickness). So when \(x\) (tricep thickness) increases by \(1\) unit (\(1\) mm), \(y\) (bfi) changes by \(b\) units.

Answer:

\(0.74\)