Question

Multiple Choice Select the best answer for Exercises 23-28. Exercises 23-28 refer to the following setting. To see if students with longer feet tend to be taller, a random sample of $25$students was selected from a large high school. For each student, $x=$foot length and $y$$=$height were recorded. We checked that the conditions for inference about the slope of the population regression line are met. Here is a portion of the computer output from a least-squares regression analysis using these data:

Which of the following is the equation of the least-squares regression line for predicting height from foot length?

a. $\widehat{height}=10.2204+0.4117$(foot length) $\widehat{height}=10.2204+0.4117$(foot length)

b.$\widehat{height}=0.4117+3.0867$ (foot length) $\widehat{height}=0.4117+3.0867$(foot length)

c. $\widehat{height}=91.9766+3.0867$(foot length) $\widehat{height}=91.9766+3.0867$(foot length)

d. $\widehat{height}=91.9766+6.47044$ (foot length)$\widehat{height}=91.9766+6.47044$(foot length)

e. $\widehat{height}=3.0867+6.47044$(foot length)$\widehat{heiight}=3.0867+6.47044$(foot length)

Short answer

The correct option is option (c)$\hat{y}=91.9766+3.0867x$

Step-by-step solution

Given Information

Given in the question that

we have to determine the correct option.

Explanation

The formula is

$\hat{y}=b_0+b_{1}x$

where $b_0$is $91.9766$and $b_1$is $3.0867$which is given in the coef" of the output of the computer.

therefore

$\hat{y}=91.9766+3.0867x$