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Investigating Relationships

Investigating Relationships. Scatterplots and Lines of Best Fit. collected. analyzed. Data is constantly ____________ and _________ to determine if there are ______________. One way this is done is through scatterplots and regressions .

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Investigating Relationships

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  1. Investigating Relationships Scatterplots and Lines of Best Fit

  2. collected analyzed Data is constantly ____________ and _________ to determine if there are ______________. One way this is done is through scatterplots and regressions. A _________ is a graph that consists of a set of points. relationships scatterplot

  3. approximated Sometimes, the points in a scatterplot can be ______________ by a line (or a curve). This line or curve (called a ________) may help to see if there is a relationship. Regressions can also be referred to as a ________________, or a ____________. regression line of best fit (LOBF) curve of best fit

  4. When drawing a line of best fit, the points on the scatterplot should show the trend of the data. Generally the points should be “________” on each side of the line. If a regression is a good fit, (points are close to the LOBF), we can make _________ by interpolating & extrapolating the data. (Reading the data off the graph) balanced predictions

  5. equation If the regression is a good fit, find the _______ of the line (or curve.) To find the equation of the LOBF: • Calculate the ____ of the line from the graph (use any 2 points.) • Calculate the _________ the using the slope and the coordinates of one point. (If there are any breaks in the scale you must calculate the y-intercept) slope y-intercept

  6. The Correlation Coefficient: Linear regression is a method of finding the equation of the ________________ The ________________ or _______ indicates how well the line fits the data. • If r= ___ then the line is a perfect fit. (all points are on the line) • If r= _ no linear relationship exists. (points are scattered randomly) line of best fit (LOBF) correlation coefficient r-value +1 0

  7. Homework • Do the Activity • Pg. 337 # 1, 2 • Pg. 343 # 5

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