A Statistics Professor Gave Three Quizzes Leading Up to the First

question 39

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. $\begin{array}{ccccc}\hline \text { Student }&\text {Test Grade }&\text {Quiz } 1 &\text { Quiz } 2& \text { Quiz } 3\\ \hline 1 & 75 & 8 & 9 & 5 \\2 & 89 & 10 & 7 & 6 \\3 & 73 & 9 & 8 & 7 \\4 & 91 & 8 & 7 & 10 \\5 & 64 & 9 & 6 & 6 \\6 & 78 & 8 & 7 & 6 \\7 & 83 & 10 & 8 & 7 \\8 & 71 & 9 & 4 & 6\\\hline \end{array}$
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 σ2 for the model. 2 Find and Interpret Sample Estimates for β Parameters

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Definitions:

Introspection

The examination or observation of one's own mental and emotional processes.

Sensations

The initial, raw forms of information from the environment perceived through the senses before being processed and interpreted by the brain.

Feelings

Subjective experiences of emotion, often described in terms of being positive or negative.

Psychological Traits

Refer to enduring patterns of thought, feeling, and behavior that are characteristic of an individual.