What is the solution to the system of equations graphed below?
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Answer:
The residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.
Step-by-step explanation:
In regression, the difference between the observed value of the dependent variable (<em>y</em>) and the predicted value () is known as the residual (<em>e</em>).
The least square regression line is used to predict the value of the response or dependent variable (<em>y</em>) from the known value of the explanatory or independent variable (<em>x</em>).
The general form of a least square regression line is:
The equation of the least squares regression line to predict the relationship between age (in years) and proportion of blackness in the lion’s nose is:
Compute the predicted value of <em>y</em> for <em>x</em> = 0.11 as follows:
The predicted value of <em>y</em> is, .
The observed value of the age of lion whose nose is 11% black is, <em>y</em> = 1.90.
Compute the residual age of this lion as follows:
Thus, the residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.