Construct the Multiple Regression Sequence $\hat { y }$ =B₀+b₁x₁+b₂x₂+b₃x₃ for the Following Data Set

question 26

Multiple Choice

Construct the multiple regression sequence $\hat { y }$ =b₀+b₁x₁+b₂x₂+b₃x₃ for the following data set:
$\begin{array} { c r c c } y & x _ { 1 } & x _ { 2 } & x _ { 3 } \\51.0 & 80 & 34 & 7.5 \\34.3 & 60 & 22 & 2.5 \\31.5 & 60 & 24 & 5.0 \\33.2 & 60 & 23 & 4.0 \\49.2 & 60 & 29 & 6.5 \\46.7 & 70 & 27 & 7.5 \\30.4 & 70 & 32 & 4.0 \\43.2 & 60 & 25 & 5.5 \\30.6 & 60 & 26 & 3.5 \\43.3 & 70 & 28 & 7.5\end{array}$

• A) \(\hat { y }\)=3.8708+0.2200 x₁-0.1503 x₂+22.4605 x₃
• B) \(\hat { y }\)=3.5766+0.1982 x₁-0.1453 x₂+22.0113 x₃
• C) \(\hat { y }\)=22.0113-0.1453 x₁+0.1982 x₂+3.5766 x₃
• D) \(\hat { y }\)=22.4605-0.1503 x₁+0.2200 x₂+3.8708 x₃

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Definitions:

Cognitive Approach

An approach to psychology emphasizing the mental processes involved in knowing: how we direct our attention, perceive, remember, think, and solve problems.

Behavioral Approach

A psychological perspective emphasizing the study of observable behaviors and the effects of learning on behavior.

Psychology

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Congenital Skeletal Anomaly

A skeletal irregularity or deformity that is present at birth, resulting from genetic factors or prenatal influences.