Answer:
Step-by-step explanation:
For this case we have a linear model given by:
Where X= represent the height.
Y= represent the beats per minute
And the slope is given by and the intercept
We have the mean for x and y given also
And in order to find the best predicted value we just need to replace the value of X= 65, and we got this:
If we want a confidence interval for the response variable when the predictor variable is x, is given by this formula:
And if we replace we got this:
But for this case since we don't have the deviation we can just express it like this.