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

Height (inches) x 27.75 25 27.5 25.5 26.75

Head circumference (inches) y 17.6 16.9 17.5 17.1 17.3

Treating height as the explanatory variable, x, use technology to determine the estimates of 0 and 1

0 b0________(round 4 decimal places as needed)

1 b1________(round 4 decimal places as needed)

Use technology to compute the standard error, the point estimate for

Se=_________(round 4 decimal places as needed)

A normal probability plot suggests that the residuals are normally distributed. Use technology to determine sb1.sb1=_________(Round 4 decimal places as needed)

A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between height and head circumference at ?=0.01 level of significance. State the null and alternative hypotheses for this test.Determine the? P-value for this hypothesis test. What is the conclusion that can be? drawn?

Use technology to construct a? 95% confidence interval about the slope of the true? least-squares regression line. What is the lower bound and upper bound?

Suppose a child has a height of 26.5 inches. What would be a good guess for the? child's head? circumference?