Professor
a Statistics Professor Investigated Some of the Factors That $$y = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 3 } + \epsilon$$

question 28

Essay

Professor
A statistics professor investigated some of the factors that affect an individual student's final grade in his course.He proposed the multiple regression model $$y = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 3 } + \epsilon$$ where:
y = final mark (out of 100)
x₁ = number of lectures skipped
x₂ = number of late assignments
x₃ = mid-term test mark (out of 100)
The professor recorded the data for 50 randomly selected students.The computer output is shown below. The regression equation is:
$$\hat { y } = 41.6 - 3.18 x _ { 1 } - 1.17 x _ { 2 } + .63 x _ { 3 }$$
$\begin{array}{l|lll|}\hline \text { Predictor } & \text { Coef } & \text { StDev } & T \\\hline \text { Constant } & 41.6 & 17.8 & 2.337 \\x_{1} & -3.18 & 1.66 & -1.916 \\x_{2} & -1.17 & 1.13 & -1.035 \\x_{3} & 0.63 & 0.13 & 4.846 \\\hline\end{array}$
$$S = 13.74$$
$$\mathrm { R } - \mathrm { Sq } = 30.0 \%$$
Analysis of Variance
$\begin{array}{l|llll}\hline \text { Source of Variation } & \text { df } & \text { SS } & M S & F \\\hline \text { Regression } & 3 & 3716 & 1238.667 & 6.558 \\\text { Error } & 46 & 8688 & 188.870 & \\\hline \text { Total } & 49 & 12404 & & \\\hline\end{array}$
-Interpret the coefficients b₁ and b₃.
b₁ = ____________________
Interpretation: _____________________________________________________
b₃ = ____________________
Interpretation: _____________________________________________________

Recognize the role of the judicial branch and the concept of judicial review in the U.S. political system.

Discuss the mechanisms designed to promote national unity and prevent discrimination among states.

Outline the process and requirements for the formal adoption of the U.S. Constitution.

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Definitions:

Net Realizable Value

The estimated selling price of goods minus the cost of their sale or disposal, essentially the net value obtainable.

Inventory

The goods and materials a business holds for the ultimate purpose of resale, comprising raw materials, work-in-progress products, and finished goods.

Physical Flow

The actual movement of goods through a production process or supply chain.

Internal Control

Methods and practices put in place by an organization to guarantee the accuracy of financial and accounting data, encourage responsibility, and inhibit fraudulent activities.