Question

The data below gives the gold medal times for every other Summer Olympics for the women's 100- meter freestyle (swimming). Can you predict the gold medal times by the year? Year Time (seconds) 1968 60.0 1976 55.65 1984 55.92 1992 54.64 2000 53.8 2008 53.1 Question 46 (2.63 points) What is the independent variable? O gold medal times years Question 47 (2.63 points) What is the dependent variable? gold medal times years Question 48 (2.63 points) What is the y-intercept? Please round answer to one decimal place httpswww.graphoa.com.quickcaks/linear hp

Answer 1

year (X)	time (Y)	X^2	Y^2	XY
1968	60	3873024	3600	118080
1976	55.65	3904576	3096.923	109964.4
1984	55.92	3936256	3127.046	110945.3
1992	54.64	3968064	2985.53	108842.9
2000	53.8	4000000	2894.44	107600
2008	53.1	4032064	2819.61	106624.8
11928	333.11	23713984	18523.55	662057.4

Date Solution; 46 Year is the independent variable. because we have to predict gold medal time by year. 97) Gold medal times in is dependent variable Because have to predict gold medal time by year. 48] Regression Ya atbx. where, a = y-intercept a = 7-be. o 33311 55.22 EX n 1928 6 1988

b = S&T sxa where, (EX) (ET) Say EXY (11.928) (333.))) 6620574- 165.32. Sxx = Ex² - 2. (11928) - 23713984 11 20. 165 32 1120 b -0.1476 - 7 - by 55.12 -(-0.1476) (1988) a 348.9 T-intercept a 348.9

49) regression is - atbx where b = slope of equation. b = -0.1476 5) We have, X = 11928, EY = 333.11 EX= 23713984, Ey?-18523.55. EXY 662057.4. n£xt - EXLEY) Vnzx?-(3x}}{ney'-(8737 J 6 X 6620574 - (11928)(333.11. VOX 2373794-41192837 f0X18523-55-(333-1114 -991.92 Vorrox 179.019 991.92 1996.8768 gog.

ss) -o got ie. There relationship is strong negative between two variables.