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Homework Check

Homework Check. Page 265 – 267 # 19 – 21, 24 – 25, 29 – 31. Creating Best Fit Equations. Monday, April 14 th. Investigate. Use the table to estimate the height of a baby at 21 months and 28 months. Investigate. Use the table to estimate the height of a baby at 21 months and 28 months

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Homework Check

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  1. Homework Check Page 265 – 267 #19 – 21, 24 – 25, 29 – 31

  2. Creating Best Fit Equations Monday, April 14th

  3. Investigate Use the table to estimate the height of a baby at 21 months and 28 months

  4. Investigate Use the table to estimate the height of a baby at 21 months and 28 months Graph the data to make this estimation

  5. Line of Best Fit • Definition - A Line of Best is a straight line on a Scatterplot that comes closest to all of the dots on the graph. • Note: A Line of Best Fit does not touch all of the dots. • A Line of Best Fit allows us to predict missing Y values for given X values, or missing X values for given Y values

  6. Predicting Data using a Best Fit Line • Interpretation - Making a prediction for an unknown Y value based on a given X value within a range of known data • Extrapolation - Making a prediction for an unknown Y value based on a given X value outside of a range of known data • More accurate: Interpretation • Less accurate: Extrapolation

  7. Bouncy Ball/Steel Ball Experiment: • Draw a best fit line through your data • Use rise/run to calculate the slope • Use your graph and intuition to calculate the y-intercept 1. What is the equation for the rebound height as a function of drop height? 2. Use this equation to interpret: what would be the rebound height if you dropped the ball 57cm? 3. Use this equation to extrapolate: what would be the rebound height if you dropped the ball from 3m? 4. From what height would you need to drop the ball in order for it to rebound up to 1m?

  8. Height vs Arm Stretch Experiment

  9. Homework: Page 211 #1, 3

  10. Best Fit Lines in Excel: • A better strategy that “eye-balling” data is to graph that data in a program like Excel that can create a best fit line for you. • Assignment Question: Given the “low” temperature for a given day, estimate what the “high” temp will be • Plot x = low temperature and y = high temperature for a given date (eg. yesterday) in at least 20 different cities. • Remove any extreme outliers (points that look way off the main line) • Have Excel create a line of best fit • Use your equation to interpret the high at a low temperature within your plotted range and extrapolate a high temperature at a low outside your plotted range.

  11. Distance Velocity S Time = 80km x T 100km

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