Chapter 12.1, Problem 23E

To determine

To find: the correct option in the equation of the least squares regression line on the basis of given information.

Answer to Problem 23E

  $\widehat{y}=91.9766+3.0867x$

Explanation of Solution

Given:

  

Calculation:

General equation

  $\widehat{y}=b_0+b_{1}x$

The calculation of the constant $b_0$ is mention in the row “Constant” and in the column: coef” of the output of the computer

  $b_0=91.9766$

The calculation of the slope $b_1$ is mention in the row “Foot length” and in the column “ Coef” of the output of the computer

  $b_1=3.0867$

Putting the value of $b_0$ and $b_0$ in the equation

  $\begin{array}{c}\widehat{y}=b_0+b_{1}x\\ =91.9766+3.0867x\end{array}$

Where $x$ refers to the foot length and $y$ refers to the height.

Hence the option (c) is the correct.