Investigating Relationships

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Presentation transcript:

Investigating Relationships Scatterplots and Lines of Best Fit

One way this is done is through scatterplots and regressions. 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. collected analyzed relationships scatterplot

approximated regression line of best fit (LOBF) curve of best fit 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 ____________. approximated regression line of best fit (LOBF) curve of best fit

Generally the points should be “________” on each side of the line. 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

To find the equation of the LOBF: 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) equation slope y-intercept

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

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