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1 Evaluate lr-plot​(​states-table, "state", "college-or-higher", "median-income"​). What is the 𝑆?

2 Interpret the results - what does that 𝑆 tell us?

3 Write the Slope-Intercept Form of the optimal linear model below.

𝑦 = slopex + y-intercept

Linear models can be expressed in several forms. In addition to Slope Intercept Form, there is also Standard (a.k.a "General Linear") Form and "Point-Slope" Form. Depending on what you want to do with a model, it can be more convenient to use one form instead of another!

Standard Form Point-Slope Form

𝐴𝑥 + 𝐵𝑦 = 𝐶

𝑦 - 𝑦1 = 𝑚(𝑥 - 𝑥1)

4 Write the Standard Form and Point-Slope Form of the optimal linear model below.

Standard Form Point-Slope Form

A𝑥 + B = C

𝑦 - y1 = 𝑚(𝑥 - x1)

5 Choose another linear model you came up with. Which states did you use to build the model?

6 Write the Slope-Intercept Form of the optimal linear model below.

𝑦 = slopex + y-intercept

7 Write the Standard Form and Point-Slope Form of that linear model below.

Standard Form Point-Slope Form

A𝑥 + B = C

𝑦 - y1 = 𝑚(𝑥 - x1)

8 Which form is most useful to YOU, and why?

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