A Statistics Professor Gave Three Quizzes Leading Up to the First

question 124

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 fit a first-order model to the data that he intends to use to predict a student 's grade on the first test using that student's grades on the first three quizzes.
Test the null hypothesis $H _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = \beta _ { 3 } = 0$ against the alternative hypothesis $H _ { \mathrm { a } } :$ at least one $\beta _ { i } \neq 0$ . Use $\alpha = , 05$ . Interpret the result.

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Definitions:

Equity Method

An accounting technique used to record an investment in another company, where the investment is initially recorded at cost and subsequently adjusted to reflect the investor's share of the investee's profit or loss.

Common Shares

Equity securities that represent ownership in a corporation, providing rights to dividends and the ability to vote at shareholder meetings.

Financial Statements

Are documents that provide an overview of a company's financial condition, including balance sheets, income statements, and cash flow statements, for a specific period.

Consolidated Financial Statements

Financial reports that aggregate the financial position and operations of a parent company and its subsidiaries, presenting as if the group is a single entity.