Consider the following regression equation representing the linear relationship between the Canada Child Benefit provided for a married couple with 3 children under the age of 6, based on their annual family net income: ŷ = 121.09 -0.57246x R² = 0.894 where y = annual Canada Child Benefit paid (in $100s) x = net annual family income (in $1000s) Source: Canada Revenue Agency a. As the net annual family income increases, does the Canada Child Benefit paid increase or decrease? Based on this, is the correlation between the two variables positive or negative?

Consider the following regression equation representing the linear relationship between the Canada Child Benefit provided for a married couple with 3 children under the age of 6, based on their annual family net income: ŷ = 121.09 -0.57246x R² = 0.894 where y = annual Canada Child Benefit paid (in $100s) x = net annual family income (in $1000s) Source: Canada Revenue Agency a. As the net annual family income increases, does the Canada Child Benefit paid increase or decrease? Based on this, is the correlation between the two variables positive or negative?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

c) What will be the estimated Canada Child Benefit be (in dollars) for a married couple with 3 children under the age of 6 if the net annual family income is $82,400?

Consider the following regression equation representing the linear relationship
between the Canada Child Benefit provided for a married couple with 3 children under
the age of 6, based on their annual family net income:
ŷ 121.09 - 0.57246x R² = 0.894
=
where y = annual Canada Child Benefit paid (in $100s)
x = net annual family income (in $1000s)
Source: Canada Revenue Agency
a. As the net annual family income increases, does the Canada Child Benefit paid
increase or decrease? Based on this, is the correlation between the two variables
positive or negative?

b. Calculate the correlation coefficient and determine if the relationship between the
two variables is strong, moderate or weak.
the relationship is (click to select)
r =
Round to 3 decimal places

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