Question

find the estimated y intercept. Round the answer to the three decimal places. estimated slope is -7.092Previous linear regression equation: ŷ = -7.09223X + 94.50971

Answer 1

`estimated\text{ }y-\text{intercept = 94.510}`

Step-by-step explanation:
`\begin{gathered} \text{Linear regression formula:} \\ ŷ=b_0+b_1x \\ \text{where b}_0\text{ = y-intercept} \\ b_1\text{ = slope} \end{gathered}`

`\begin{gathered} \text{The linear regression gotten from earlier solution using the values in the table was:} \\ ŷ=-7.09223x+94.50971 \end{gathered}`

We'll obtain the intercept from equation we got earlier:

`\begin{gathered} \text{comparing both the equation:} \\ ŷ=-7.09223x+94.50971 \\ ŷ=b_0+b_1x \\ ŷ=b_1x\text{ + }b_0 \\ ŷ=ŷ \\ -7.09223x\text{ = }b_1x \\ b_0\text{ =}94.50971 \\ b_1\text{ = }-7.09223 \end{gathered}`

From the above,

`\begin{gathered} b_0\text{ = y-intercept = }94.50971 \\ \\ \text{Estimated }y-\text{intercept to thr}ee\text{ decimal place = 94.510} \end{gathered}`