Question

Neck (Y)	Waist (X)
13	30
14	36
12	28
14	27
15	28
15	33
16	36
13	31
16	40
13	30
14	37
13	33
14	35
12	24
14	35
15	35
17	43
14	36
13	29
13	31

* If you are able to can you please type out and number the answers to each one so it's easier to understand. Thank you!

1) T-statistic, degree of freedom and P-value (assume a=0.05)

2) Explain the meaning of a, b, r, and r^2 in this study

3) Within the domain, pick some value not used for the explanatory variables and interpolate the response (show basic calculations)

4) Outside the domain, pick some value of the data and extrapolate the response (show basic calculations)

Answer 1

Neck (Y)	Waist (X)	s1=(x-xbar)^2	s2=(y-ybar)^2	s3=(x-xbar)*(y-ybar)
13	30	8.1225	1	2.85
14	36	9.9225	0	0
12	28	23.5225	4	9.7
14	27	34.2225	0	0
15	28	23.5225	1	-4.85
15	33	0.0225	1	0.15
16	36	9.9225	4	6.3
13	31	3.4225	1	1.85
16	40	51.1225	4	14.3
13	30	8.1225	1	2.85
14	37	17.2225	0	0
13	33	0.0225	1	-0.15
14	35	4.6225	0	0
12	24	78.3225	4	17.7
14	35	4.6225	0	0
15	35	4.6225	1	2.15
17	43	103.0225	9	30.45
14	36	9.9225	0	0
13	29	14.8225	1	3.85
13	31	3.4225	1	1.85
ybar=sum(y)/20	xbar=sum(x)/20	s2x=sum(s1)/19	s2y=sum(s2)/19	sxy=sum(s3)/19
14	32.85	21.7132	1.7895	4.6842
		sx=sqrt(sx)	sy=sqrt(sy)
		4.6597	1.3377
r=sxy/sx*sy	b=sxy/s2x	a=ybar-b*xbar
0.7515	0.2157	6.9143