Chapter 3.2, Problem 74E

To determine

To find: the increase in height on average.

Answer to Problem 74E

theaverage increase in height is option(a) 0.93 cm.

Explanation of Solution

Given:

  $\widehat{y}=6.4+0.93x$

1. 0.93 cm
2. 1.08 cm
3. 5.81 cm
4. 6.4 cm
5. 7.33 cm

Calculation:

Measurements on young children in Mumbai, India, found a least-squares line for predicting height y from arm span x$\widehat{y}=6.4+0.93x$

Measurements are in centimeters (cm)

Here, height is dependent variable and arm span is independent variable.

The amount of increment in dependent variable for a unit increment in independent variable is known as slope.

From the given regression line, the slope is 0.93. That is, we can say that there will be 0.93increase in Height for a unit increment in arm span.

Therefore, we can say that there will be 0.93cm increase on average for each additional centimeter of arm span.

Conclusion: Hence, the answer is (a) 0.93 cm.