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:

Chrysanthemums

A type of flowering plant, often grown for its brightly colored flowers and used in floral arrangements and festivals.

Carbamates

A class of chemical compounds used as insecticides, herbicides, and in some medications, known for their ability to inhibit cholinesterase enzymes.

Bromated Hydrocarbons

Organic compounds that contain the element bromine bonded to carbon, used in various industrial applications but are often concerning for environmental and health impacts.

Genetic Resistance

The ability of an organism to withstand or be less affected by diseases, pests, or environmental conditions due to its genetic makeup.