Question

I need help at the bottom of the page with - A normal probability plot suggests that the residuals are normally distributed - thank you!

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   Head Circumference_(inches)_-_y
27.5   17.5
27.75   17.6
25.5   17.1
25   16.9
26.5   17.3

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

β0 ≈ b0 = 11.0323 ​

(Round to four decimal places as​ needed.)

β1 ≈ b1= 0.2362

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

​(b) Use technology to compute the standard error of the​ estimate, se.

se = 0.0383

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

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

sb1=0.0159  

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

​(d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between height and head circumference at the α=0.01

level of significance. State the null and alternative hypotheses for this test.

Choose the correct answer below.

A.

H0​: β0=0

H1​: β0≠0

B.

H0​: β1=0

H1​: β1>0

C.

H0​: β0=0

H1​: β0>0

D.

H0​: β1=0

H1​: β1≠0

Answer 1