Question

A data set whose original x values ranged from 241 through 290 was used to generate a regression equation of ŷ = -0.06x + 9.8. Use the regression equation to predict the value of y when x=240.24.2-4.6Meaningless result4.6

Answer 1

Using the regression equation ŷ = -0.06x + 9.8 to predict ŷ for x=240.24 yields a value of approximately -4.6, but the result is an extrapolation and may not be reliable.

Step-by-step explanation:

To predict the value of ŷ when x=240.24 using the regression equation ŷ = -0.06x + 9.8, we substitute the given value of x into the equation:

ŷ = -0.06(240.24) + 9.8

Now, calculate the value:

ŷ = -14.4144 + 9.8

ŷ = -4.6144

Thus, the predicted value of ŷ when x=240.24 is approximately -4.6. However, since the original range of x values was from 241 through 290, this prediction is an extrapolation and may not be reliable because it lies outside the range of the observed data.

Answer 2

we have the equation

`\begin{gathered} ŷ=-0.06x+9.8 \\ For\text{ x=240} \\ ŷ=-0.06(240)+9.8 \\ ŷ=-4.6 \end{gathered}`

The answer is -4.6