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

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

to be the fitted is suppose requession dine yo at b* the parameters To estimate a and be ał ý - 6x BE Sxy SXX Ÿ= 280 = 14 20 20 X = 657 = 32.85 nxų = 9287 - 20 (14) (32.84) Sx42 Exivi Sxx = {x2 - mx ² = 21995- 20 (32.85²= 412.55 syu= {412 - ny2= 3954 - 20 (14) - 34 6 = 89 - 1012157] â - 14-0.2157 (32-85) 4/2.55 16.9143 og Lene Reguerson is i = 69143 4 0.2157 x | (6.2157) (89) = 19.1973 SSR SST= o sxy = 34 SST-SSR2 14.8027 34-19 19 73= SSE = ✓ Sxx MSE [0-8224] SELG) - MSE .93m SSE = 14.8027 = auter 4.8312 + S 0.2157 10.8224 Jul2-SS SELE defa 2 de 0.02 0.000134 0.02 Pvalue = HO Ho de bto bis b=0 Hi bo fence , pvalue < 2 10.02) we Reject se bis significant Sx4 89 San Suu Ku12-5s) (34 e2= [0+ 5647) 0:71 15 - SX4