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A regression model was fitted to data. The slope of the model was b=2.25 and the...

A regression model was fitted to data. The slope of the model was b=2.25 and the intercept was a=5.33. Let y be the response and x be the explanatory variable. Match the observations to the residuals:

x = 6.4, y = 8.3

x = 1.8, y = 1.5

x = 3.3, y = 5.5

residuals are:

-7.88

-7.255

-11.43

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The estimated regression equation is,

= a + bx = 5.33 + 2.25x

For x = 6.4,

= 5.33 + 2.25 * 6.4 = 19.73

Residual = y - = 8.3 - 19.73 = -11.43

For x = 1.8,

= 5.33 + 2.25 * 1.8 = 9.38

Residual = y - = 1.5 - 9.38 = -7.88

For x = 3.3,

= 5.33 + 2.25 * 3.3 = 12.755

Residual = y - = 5.5 - 12.755 = -7.255

The correct match is,

x = 6.4, y = 8.3   -11.43

x = 1.8, y = 1.5   -7.88

x = 3.3, y = 5.5   -7.255

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