Question

Question Help The table shows the number of goals allowed and the total points camed 12 points for a win, and 1 point for an overtime or shootout loss by ice hockey is over the course of a son The gason of the regression line 3216-317 Use the the following questions (a) Find the coefficient determination, and interpret the rest Find the standard error of the estimate and interpret the rest Goals Allowed 210 210 214 22 201204 202 203 217 204 225 200 256 247 Points 107 104 102 03 04 17 49 104 105 16 01471 ap- Round to three decimal places as needed) Interpret the count of determination. Select the connect choice below and in the answer box to complete your choice (Round to one cimal place as needed) A Abou of the variation in points earned can be explained by the relationship between number of goals allowed and points curred. The remaining variation is unexplained OB. Olof the variation in number of goals allowed can be explained by the relationship between number of good and points earned. The remaining variation is unplaned. (Round to the decimal places needed) Interpret the standardens of the Select the come choice below and in the box to complete your choice Round to the decimal places needed OA The standard enor of the state of the goods afound for a specific rumber of points and is about B. The standard on or of the state of the points are for a specific number of goals wound is about - 4 - Y B d 2 x P e 1 2 Click to let your wors) of ENG O Type here to search Prison Home DH s & 7 % 5 ! 8 9 6 2 4 3 T

Answer 1

S.No х Y (y-7) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Total 210 210 214 223 261 264 282 201 217 204 225 208 255 247 3221 107 104 102 93 84 77 49 104 103 95 98 87 74 71 1248 89.1429 (x-7) 402.8622 402.8622 258.2908 50.0051 956.5765 1151.1480 2696.5765 845.1480 170.8622 679.7194 25.7194 487.1480 621.4337 286.5765 9034.9286 SSX 318.88 220.73 165.31 14.88 26.45 147.45 1611.45 220.73 192.02 34.31 78.45 4.59 229.31 329.16 3593.7143 (x-x)(y-7) -358.4184 -298.2041 -206.6327 -27.2755 -159.0612 -411.9898 -2084.5612 -431.9184 -181.1327 -152.7041 -44.9184 47.2959 -377.4898 -307.1327 -4994.1429 Mean 230.071 SSY SXY in sample size : 14 230.0714 y = 89.1429 E(X-X) = 9034.929 S, E[X-X)(y-7)= -4994.143 slope B, S/S.- -0.5528 intercept B. - V-B,x= 216.3170 Least square line equation: º =216.317+-0.5528*x VI Cov =

SST=Syy=		3,593.714286
SSE =Syy-(Sxy)2/Sxx=		833.154235
SSR =(Sxy)2/Sxx =		2,760.560051

a)

Coefficient of determination R2=SSR/SST=0.768

option A: 76.8 % of the variation,,,,,,,

b)

	s2 =SSE/(n-2)=	69.4295
se              =	=se =√s2=	8.332

option B : is about 8.332