Question

Height (inches) x: 27 25 27.75 26.75 26.5

Head Circumference (inches) y: 17.5 16.9 17.6 17.3 17.3

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. Complete parts​ (a) through​ (f) below.

a) Treating height as the explanatory​ variable, x, use technology to determine the estimates of beta 0β0 and beta 1β1.

beta 0β0almost equals≈b 0b0equals=? ​(Round to four decimal places as​ needed.)

beta 1β1almost equals≈b 1b1equals=? ​(Round to four decimal places as​ needed.)

​(b) Use technology to compute the standard error of the​ estimate, s Subscript e.

s Subscript e equals=? ​(Round to four decimal places as​ needed.)

​(c) A normal probability plot suggests that the residuals are normally distributed. Use technology to determine s Subscript b 1sb1.

s Subscript b 1sb1equals=?  ​(Round to four decimal places as​ needed.)

Determine the P value for this hypothesis test

P-value=? (Round to three decimal places)

​(e) Use technology to construct a​ 95% confidence interval about the slope of the true​ least-squares regression line.

Lower​ bound: ?

Upper​ bound: ?

​(Round to three decimal places as​ needed.)

(f) Suppose a child has a height of 26.5 inches. What would be a good guess for the​ child's head​ circumference? A good estimate of the​ child's head circumference would be? inches. ​(Round to two decimal places as​ needed.)

Answer 1

For the given data using Regression in Excel we get output as

From the above output