Question

HI ISLI UCIUI-Liedleu quesLIUI Country Data from 10 countries can be used to examine the association between female Life Expectancy and the average Number of Children women give birth to Complete parts a through d and f through g. Births! Woman Life Exp. 74.6 Full data set Country Births/ Life Woman Exp. 67.4 G 79.3 H 3.7 58.1 2.1 75.3 2. 676.8 12.9 24.8 53.9 79.6 72. 2 24 c) Find the correlation Find the correlation when all data points are included. (Round to three decimal places as needed.) Find the correlation when the outlier is omitted (Round to three decimal places as needed.)

Answer 1

Country	Birth (x)	Life Exp (y)	(x-x_)^2	(y-y_)^2	(x-x_)(y-y_)
A	2.2	74.6	6.5536	1.7424	-3.3792
B	1.7	75.6	9.3636	5.3824	-7.0992
C	3.7	63.9	1.1236	87.9844	9.9428
D	1.5	79.6	10.6276	39.9424	-20.6032
E	2.4	72.2	5.5696	1.1664	2.5488
F	2.9	67.4	3.4596	34.5744	10.9368
G	24.8	79.3	401.6016	36.2404	120.6408
H	3.7	68.1	1.1236	26.8324	5.4908
I	2.1	75.3	7.0756	4.0804	-5.3732
J	2.6	76.8	4.6656	12.3904	-7.6032
Total	47.6	732.8	451.164	250.336	105.502

After delating the outlier observation

Country	Birth (x)	Life Exp (y)	(x-x_)^2	(y-y_)^2	(x-x_)(y-y_)
A	2.2	74.6	0.1089	3.9601	-0.6567
B	1.7	75.6	0.6889	8.9401	-2.4817
C	3.7	63.9	1.3689	75.8641	-10.1907
D	1.5	79.6	1.0609	48.8601	-7.1997
E	2.4	72.2	0.0169	0.1681	0.0533
F	2.9	67.4	0.1369	27.1441	-1.9277
H	3.7	68.1	1.3689	20.3401	-5.2767
I	2.1	75.3	0.1849	7.2361	-1.1567
J	2.6	76.8	0.0049	17.5561	0.2933
Total	22.8	653.5	4.9401	210.0689	-28.5433

-:=0.3139 nalo EM= 47-6 Zy; = 732.8- zik:**= 45.164, 24:-98=250.396, 3f4; -) 14:-)= 105.542 3- 4 5x = 1.16 - 2); = 13.28 e) The correlation when all data prints are included te 3fa;-) 67-9) 105.502 113:03 38443-93} 1451.164x250.336 from the given data, country G has the outlier. So, we take out the data corresponding to this country 36:-) = 4.9401 745-70% = 210.0689 3039 24:-) 09.-9) = -28.5433ū =2.53 5= 72.61 The correlation when the out his is omitted a so ~ 28.5433 = = - 0.8860 y 4-9409 x 210.8689

When all data points are included b= S(x;=50 (41-9 - 105.502. =0.2338 564,-)2 - 451.164: =0.2338 a= g_bñ= 73.28-(0.2338) 4.76=72,1669 Required regression line is Life Expectancy = 72.16,69 +0.2338 Bistrs, When the outlier is omitted b= -28.5433 4.940, 2-5.7729 a = 9-b2=72.61-(-5.7779) 2.53=87.2484 Required regression line Life Expectancy = 87.2484 -5.4779 Bisthy B. c. Yes, there is a definiti linear relationship between the two variably, 9 Aus;