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 =

Math   Statistics-And-Probability   
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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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