Re: (VU-Study-Corner) STA 301

 

 

X	Y	X2	XY	Ŷ=a+bX	Y-	(Y-Ŷ)2
17.5	35	306.25	612.5	43.962	-8.962	80.317444
18.2	37	342.25	673.4	43.8184	-11.8184	139.6745786
19.2	39	380.25	760.5	44.7248	-5.7248	32.77333504
21	35	441	735	46.0844	-11.0844	122.8639234
25	55	625	1375	49.71	5.29	27.9841
26	49	676	1274	50.6164	-1.6164	2.61274896
28	74	784	2072	52.4292	21.5708	465.2994126
30	60	900	1800	54.242	5.758	33.154564
35	80	1225	2800	58.774	21.226	450.543076
40	60	1600	2400	63.756	-3.756	14.107536
50	55	2500	2750	72.37	-17.37	301.7169
=310.2	=579	2=9779.75	=17263.5	……		1671.047634

ii. Standard error of estimate for this line.

iii. By using the line, estimate the value of weights at the age of 55.

iv. Check, is there significant relation between ages and weights?

Answer:

Draw Table of X2 and XY

 

i)Simple regression line age on weight

Age on weight mean X on Y so we can say it Regression line as X on Y now, the formula is X = a + bY

   b=

  b=

  b=

  b=

  b=0.9064

               a=

                = = =52.64

               = = =28.23

              a =  -b

             a = 52.64- (0.9064*28.23)

             a = 52.64-25.59

             a= 27.05

ii . Standard error of estimate for this line.

S_y.x =

         =

        =

        =13.63

ly g sima 

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