Question

If you were to develop a regression line to predict y by x, what value would...

If you were to develop a regression line to predict y by x, what value would the coefficient of determination have?

x 213 196 184 202 221 247

y 76 65 62 68 71 75

(Do not round the intermediate values. Round your answer to 3 decimal places.)

Coefficient of determination =

Homework Answers

Answer #1

Solution:

 X Y XY X^2 Y^2 213 76 16188 45369 5776 196 65 12740 38416 4225 184 62 11408 33856 3844 202 68 13736 40804 4624 221 71 15691 48841 5041 247 75 18525 61009 5625
 n 6 sum(XY) 88288.00 sum(X) 1263.00 sum(Y) 417.00 sum(X^2) 268295.00 sum(Y^2) 29135.00 Numerator 3057.00 Denominator 3667.09 r 0.8336 r square 0.6949 Xbar(mean) 210.5000 Ybar(mean) 69.5000 SD(X) 20.1391 SD(Y) 5.0580 b 0.2094 a 25.4278

Coefficient of determination = r 2 = 0.695

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