You Have Obtained Data on Test Scores and Student-Teacher Ratios

question 45

Essay

You have obtained data on test scores and student-teacher ratios in region A and region B of your state. Region B, on average, has lower student-teacher ratios than region A. You decide to run the following regression.
Y_i = β₀+ β₁X_1i + β₂X_2i + β₃X_3i+u_i
where X₁ is the class size in region A, X₂ is the difference between the class size between region A and B, and X₃ is the class size in region B. Your regression package shows a message indicating that it cannot estimate the above equation. What is the problem here and how can it be fixed? Explain the problem in terms of the rank of the X matrix.

Distinguish between independent and dependent variables in experimental research.

Identify and control for confounding variables and understand their impact on research validity.

Recognize the importance of internal and external validity and the balance between them in experimental research.

Understand ethical considerations in research, involving both human and animal subjects.

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Definitions:

Psychological Disturbance

Psychological disturbance refers to irregularities or dysfunctions in mental processes, typically resulting in emotional distress or behavioral issues.

STIs

Sexually Transmitted Infections, diseases passed from one person to another through sexual contact, including chlamydia, gonorrhea, and HIV.

HIV

Human Immunodeficiency Virus, a retrovirus that attacks the immune system and can lead to AIDS if not treated.

Gonorrhea

A sexually transmitted bacterial infection that is often asymptomatic but can cause serious reproductive complications.