Use the given data to find the equation of the regression line. examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. x 1212 1313 66 55 1010 1111 77 99 33 88 44 y 20.2120.21 20.2320.23 13.1913.19 10.8710.87 19.1919.19 19.8719.87 15.1815.18 18.1818.18 5.235.23 16.8516.85 8.218.21 modifyingabove y with caretyequals

In this exercise we have to use the given equation and through the plotted graphics identify the requested points:

I plotted your points and drew a linear regression line.  Its equation is:

The regression line ignores the fact that the points fall along a smooth curve. A parabolic regression line fits the data much better. The equation for that line is:  

It is the equation for a vertical parabola opening downward.

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y = 1.5x + 3.2009  

Step-by-step explanation:

I plotted your points and drew a linear regression line.

Its equation is

y = 1.5x + 3.2009

The regression line ignores the fact that the points fall along a smooth curve.

A parabolic regression line fits the data much better.

The equation for that line is

y = - 0.1647x² + 4.1357x - 5.6946

It is the equation for a vertical parabola opening downward.