Trend lines and Lines of best fit.  Statisticians gather data to determine correlations (relationships) between events.  Scatter plots will often show.

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Presentation transcript:

Trend lines and Lines of best fit

 Statisticians gather data to determine correlations (relationships) between events.  Scatter plots will often show at a glance whether a relationship exists between two sets of data.

 Let's decide if studying longer will affect grades based upon a specific set of data. Given the data below, a scatter plot has been prepared to represent the data. Remember when making a scatter plot, do NOT connect the dots.

 The data displayed on the graph resembles a line rising from left to right. Since the slope of the line is positive, there is a positive correlation between the two sets of data. This means that according to this set of data, the longer I study, the better grade I will get on my exam.

 When data is displayed with a scatter plot, it is often useful to attempt to represent that data with the equation of a straight line for purposes of predicting values that may not be displayed on the plot.  When the equation of the line is found without the use of technology or an exact statistical process we will call it the trend line.  The trend line will differ based on the points you select.

 When the equation of the line is found the use of technology or using a statistical process we will call it the line of best fit.  The line of best fit will be the same line for everybody.

 About half of data points above and half below through two of your points  Find slope (9, 260) and (31,560)

 Write the equation  Find slope (9, 260) and

Use equation to predict Sandwich with 40g of fat

 Type data in List  Turn scatterplot on and look at it

 Calculate line of best fit y=11.73 x

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