Question

0 1 s71 11 12 11 The winning Olympic discus throw is recorded through the 1900's rounded to the nearest foot 7. 118 134 Round slopes and y-intercepts to 2 decimal places 1912 a) Consider 1900 to be year 0 and find the equation for the trend b) Use your regression equation to predict the winning throw at c) Use your regression equation to predict the year the winning 147 line using the regression feature of your graphing calculator the 2020 Olympics, accurate to the tenth place 166 173 181 185 194 throw will reach 280 feet, accurate to the nearest year Winning Discus Throw at Olympics 213 1972 1976 219 219 200 70 80 90 30 40 50 60 106b (fio RNumber of Years After 1900 38

Answer 1

data

year	y
0	118
4	129
8	134
12	148
20	147
24	151
28	155
32	162
36	166
48	173
52	181
56	185
60	194
64	200
68	213
72	211
76	221
80	219
84	219

Excel regression output

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.98997529
R Square	0.980051075
Adjusted R Square	0.978877609
Standard Error	4.800587539
Observations	19
ANOVA
	df	SS	MS	F	Significance F
Regression	1	19247.17148	19247.17148	835.176236	6.81647E-16
Residual	17	391.7758923	23.04564072
Total	18	19638.94737
	Coefficients	Standard Error	t Stat	P-value	Lower 95%
Intercept	123.1700689	2.106172156	58.48053234	4.81521E-21	118.7264341
year	1.196321227	0.041396035	28.89941584	6.81647E-16	1.108983228

y^= 123.17 + 1.20 year

b)

in year 2020 ,Year = 120

hence

y^= 123.17 + 1.20 *120

= 267.17

c)

280 = 123.17 + 1.20 *Year

Year = 130.692

hence in 2031