A Statistics Professor Gave Three Quizzes Leading Up to the First

question 107

Essay

A statistics professor gave three quizzes leading up to the first test in his class. The quiz
grades and test grade for each of eight students are given in the table.


The professor would like to use the data to find a first-order model that he might use to predict a student's grade on the first test using that student's grades on the first three quizzes.
a. Identify the dependent and independent variables for the model.
b. What is the least squares prediction equation?
c. Find the SSE and the estimator of $\sigma ^ { 2 }$ for the model.

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Definitions:

Gilded Age

A period in the late 19th century characterized by rapid economic growth, widespread political corruption, and extravagant displays of wealth by America's upper class.

Working Conditions

The circumstances affecting workers' environment, including safety, hours, and rights.

Railroad Strike

A work stoppage by railroad workers, often to protest working conditions, pay, or labor policies.

1877

The year marked by significant events in the United States, including the end of the Reconstruction era following the Civil War.