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for the line of fit p = -26t + 5,649 , where t is the number of years since 1990 , what is the residual of the data point at t = 5?

for the line of fit p = -26t + 5,649 , where t is the number of years since 1990 , what-example-1
User Sigalor
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1 Answer

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According to the problem, the equation of the line that best fit is


p=-26t+5649

To find the population when t = 5, we just have to evaluate the expression.


\begin{gathered} p=-26\cdot5+5649=-130+5649 \\ p=5519 \end{gathered}

Note that this value (p=5519) is different from the value assigned in the given table. In this way, the residual refers to the difference between these values.


r=5530-5519=11

It's important to know that the residual r=11 is positive because the value shown in the table (empirical data) is greater than the resulting value from the equation.

Therefore, the residual is 11.

User Neil Hoff
by
7.1k points
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