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Author Question: Consider the following regression summary:The regression equation isY3 = 104 + 0.204 X3 + 0.0754 ... (Read 83 times)

Mscarter

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on: Feb 26, 2023
Consider the following regression summary:

​

The regression equation is

Y3 = 104 + 0.204 X3 + 0.0754 X4

​

Predictor     Coef SE      Coef       T       P

Constant      103.968     5.049   20.59   0.000

X3            0.20415   0.08503    2.40   0.018

X4            0.07542   0.05760    1.31   0.193

​

S = 6.38219 R-Sq = 8.1% R-Sq(adj) = 6.2%

​

Analysis of Variance

​

Source           DF        SS       MS      F       P

Regression        2    360.63   180.31   4.43   0.014

Residual Error  101   4113.97    40.73

Total           103   4474.59

​

Perform a global utility test for the model. State the correct decision and reasoning. (Useα= 0.01.)


◦

The model appears to be useful becausep-value = 0.000 < 0.01.


◦

The model does not appear to be useful becausep-value = 0.014 > 0.01.


◦

The model appears to be useful becauseR-Sq (adj) is more than 0.01 less than R-Sq.


◦

The model does not appear to be useful because thep-value = 0.018 > 0.01.

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Marked as best answer by Mscarter on Feb 26, 2023

GoldenBrown

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Reply #1 on: Feb 26, 2023
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Mscarter

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Reply 2 on: Feb 26, 2023
Wow, this really help

Dnite

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Reply 3 on: Yesterday
Great answer, keep it coming :)

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