A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their height and head circumference. The data are summarized below. Find the residuals from the regression and verify that the residuals are approximately normally distributed. Height (inches), x 26.75 25.5 26.5 27 25 Head Circumference (inches), y 17.3 17.1 17.3 17.5 16.9

Now we can find the residulls like this:

So then we can see that the residuals are not with an specified pattern (alternating sign) so then we can conclude that are distributed normally

Step-by-step explanation:

We have the following data given:

Height (inches), x 26.75 25.5 26.5 27 25

Head Circumference (inches), y 17.3 17.1 17.3 17.5 16.9

We need to find a linear model

For this case we need to calculate the slope with the following formula:

Where:

So we can find the sums like this:

With these we can find the sums:

And the slope would be:

Nowe we can find the means for x and y like this:

And we can find the intercept using this:

So the line would be given by:

Now we can find the residulls like this:

So then we can see that the residuals are not with an specified pattern (alternating sign) so then we can conclude that are distributed normally