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Unit 1.8 – Predict with Linear models

Unit 1.8 – Predict with Linear models. Unit 1 – Algebra: Linear Functions. 1.8 – Predict with Linear Models Georgia Performance Standard:

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Unit 1.8 – Predict with Linear models

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  1. Unit 1.8 – Predict with Linear models

  2. Unit 1 – Algebra: Linear Functions • 1.8 – Predict with Linear Models • Georgia Performance Standard: • MM1A1d– Investigate and explain the characteristics of a function: domain, range, zeros, intercepts, intervals of increase and decrease, maximum and minimum values, and end behavior

  3. Vocabulary • Best-fitting line: • The line that most closely follows a trend in data • Estimating • Using a line or its equation to approximate a value outside the range of known values • Zero of a function • f(x) = 0

  4. What does a Best-fitting line look like? • Best-fitting line: • The line that most closely follows a trend in data

  5. So what’s the deal with Linear Regression? • Linear regression is the process of finding a linear equation to describe real life situations that increase or decrease in a line. • Examples: • Home Runs • Touchdowns • Eating Contests • Annual Salary (How much you make!)

  6. How can we predict what a line (data) will look like? • Steps: • Gather data points • Graph them • Draw your "line of best fit" • Select two points on the line • Find the slope between the two points • Find where the line crosses the y-axis (b) • Use the slope and one of the points to find the equation • Once you have the equation, you can make predictions about what will happen in the future or even what happened in the past.

  7. Example: Find the equation of the best-fitting line.

  8. Example: Make a scatter plot of the data. Find the equation of the best-fitting line

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