The table shows the number of goals allowed and the total points earned(2 points for awin, and 1 point for an overtime or shootoutloss) by 14 ice hockey teams over the course of a season. The equation of the regression line is

y=0.577x+220.253. Use the data to answer the following questions.

(a) Find the coefficient ofdetermination, r2, and interpret the result.

(b) Find the standard error of theestimate, se, and interpret the result.

GoalsAllowed, x

210

212

213

223

260

258

275

196

216

203

224

200

259

238

Points, y

106

106

103

91

86

77

50

109

103

100

91

87

69

66

(a) r2=

nothing

(Round to three decimal places asneeded.)

Interpret the coefficient of determination. Select the correct choice below

(Round to one decimal place asneeded.)

A.

About % of the variation in number of goals allowed can be explained by the relationship between number of goals allowed and points earned. The remaining variation is unexplained.

B.

About % of the variation in points earned can be explained by the relationship between number of goals allowed and points earned. The remaining variation is unexplained.

(b) se=

(Round to three decimal places asneeded.)

Interpret the standard error of the estimate. Select the correct choice below

(Round to three decimal places asneeded.)

A.

The standard error of the estimate of the points earned for a specific number of goals allowed is about