Question

1. the linear regression function for the given data is ( y=-x + 19.7 ). complete the table for the linear regression function, rounding your answers to the nearest tenth.

Explanation:

Step1: Substitute \(x = 2\) into \(y=-x + 19.7\)

\(y=-2+19.7=17.7\)

Step2: Substitute \(x = 4\) into \(y=-x + 19.7\)

\(y=-4+19.7=15.7\)

Step3: Substitute \(x = 6\) into \(y=-x + 19.7\)

\(y=-6+19.7=13.7\)

Step4: Substitute \(x = 8\) into \(y=-x + 19.7\)

\(y=-8+19.7=11.7\)

Step5: Substitute \(x = 10\) into \(y=-x + 19.7\)

\(y=-10+19.7=9.7\)

Step6: Substitute \(x = 12\) into \(y=-x + 19.7\)

\(y=-12+19.7=7.7\)

Answer:

\(x\)	\(y\)	Predicted Value
\(4\)	\(16\)	\(15.7\)
\(6\)	\(15\)	\(13.7\)
\(8\)	\(12\)	\(11.7\)
\(10\)	\(9\)	\(9.7\)
\(12\)	\(8\)	\(7.7\)