A Multiple Regression Analysis Produced the Following Output from Minitab

question 8

Multiple Choice

A multiple regression analysis produced the following output from Minitab. Regression Analysis: Y versus x₁ and x₂
Predictor Coef SE Coef T P
Constant -0.0626 0.2034 -0.31 0.762
X₁ 1.1003 0.5441 2.02 0.058
X₂ -0.8960 0.5548 -1.61 0.124
S = 0.179449 R-Sq = 89.0% R-Sq(adj) = 87.8%
Analysis of Variance
Source DF SS MS F P
Regression 2 4.7013 2.3506 73.00 0.000
Residual Error 18 0.5796 0.0322
Total 20 5.2809
The overall proportion of variation of y accounted by x₁ and x₂ is _______

• A)0.179
• B)0.89
• C)0.878
• D)0.203
• E)0.5441

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Definitions:

Clairvoyance

The alleged psychic ability to gain information about an object, person, location, or physical event through means other than the known human senses.

Telepathy

The supposed communication of thoughts or ideas by means other than the known senses.

Difference Thresholds

The minimum difference in stimulation that a person can detect 50 percent of the time, also known as the just noticeable difference (JND).

Absolute Thresholds

The minimum stimulus intensity required to be perceptible to the senses.