In a criminal trial where the null hypothesis is innocence, a Type I error is made when: A. a guilty defendant is acquitted B. an innocent person is acquitted C. a guilty defendant is convicted D. an innocent person is convicted

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Please answer the following multiple choice question :) (All subparts are part of one question)

a)  In a criminal trial where the null hypothesis is innocence, a Type I error is made when:
A. a guilty defendant is acquitted
B. an innocent person is acquitted
C. a guilty defendant is convicted
D. an innocent person is convicted

b) Two multiple regression models,Model 1 and Model 2, are built from the same training data with one less predictor in Model 2, which of the following is always true?
A. Model 1 has greater adjusted R2
B. Model 2 has greater adjusted R2
C. Model 1 has greater R2
D. Model 2 has greater R2

c)  In testing the validity of a multiple regression model, a large value of the F test statistic indicates that:
A. most of the variation in the independent variables is explained by the variation in y
B. most of the variation in y is unexplained
C. most of the variation in y is explained by the regression equation
D. the model provides a poor fit

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