Please answer the following multiple choice questions :) 1. Given the least squares regression line y^ = 7 + 0.2x A. as x increases by 0.2 unit, so does y by 1 unit on average. B. as y increases by 1 unit, so does x by 0.2 units on average. C. as x increases by 1 unit, so does y by 0.2 units on average. D. as y increases by 0.2 unit, so does x by 1 unit on average. 2. A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can design be used to predict the amount of eroded soil (in kilograms). In this study, the response variable is the A. amount of eroded soil B. depth of the soil bed C. size of the soil bed D. rate of water flow 3. In which of the following scenarios will conducting a two-sample t-test for means be more appropriate? A. To test if there is a difference between the mean annual income of Ontarians and a known national mean. B. To test if the proportion of low-income families is higher than that of high-income families in Ontario. C. To test if there is a difference between the mean annual income of husbands and that of their wives in Canada. D. To test if there is a difference between the mean annual income of male Ontarians and that of female Ontarians.

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 questions :)

1. Given the least squares regression line y^ = 7 + 0.2x
A. as x increases by 0.2 unit, so does y by 1 unit on average.
B. as y increases by 1 unit, so does x by 0.2 units on average.
C. as x increases by 1 unit, so does y by 0.2 units on average.
D. as y increases by 0.2 unit, so does x by 1 unit on average.

2. A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can design be used to predict the amount of eroded soil (in kilograms). In this study, the response variable is the
A. amount of eroded soil
B. depth of the soil bed
C. size of the soil bed
D. rate of water flow

3. In which of the following scenarios will conducting a two-sample t-test for means be more appropriate?
A. To test if there is a difference between the mean annual income of Ontarians and a known national mean.
B. To test if the proportion of low-income families is higher than that of high-income families in Ontario.
C. To test if there is a difference between the mean annual income of husbands and that of their wives in Canada.
D. To test if there is a difference between the mean annual income of male Ontarians and that of female Ontarians.

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