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I can plot coordinates. Given the equation of a straight line, I can complete a table of values. From a table of values, I can draw a straight line. Given a set of data, I can plot points on a scatter graph. I can draw a line of best fit. S3 BLOCK 8 Straight Line

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Coordinates I can plot coordinates.

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Review: Coordinates

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Example 1 (a)Plot the points (1, 2) (2,3) (3,4) (4,5) and (5,6). (b)Draw a straight line through these points.

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Plot the points (1, 2) (2,3) (3,4) (4,5) (5,6)

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Table of values Given the equation of a straight line, I can complete a table of values. From a table of values, I can draw a straight line.

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Table of values -2012

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-2012 -313 5

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Plot the points (-2, -3) (-1, -1) (0, 1) (1, 3) (2, 5) A straight line can be drawn through these points -2012 -313 5

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Scatter graph Given a set of data, I can plot points on a scatter graph. I can draw a line of best fit.

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Scatter graphs Scatter graphs are used to represent and compare two sets of data. By looking at a scatter diagram it is possible to say whether there is any connection (correlation) between the two sets of data.

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Line of Best Fit When there is a correlation between sets of data on a scatter graph, it is possible to draw a line of best fit. When drawing a line of best fit the aim is to keep the distance of all the points from the line to a minimum. Sometimes it is helpful to try to keep the number of points above the line as the same as the number of points below the line.

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Example In a class 10 pupils tool a Science test and an Maths test. Their scores are listed in the table. (a)Illustrate this data with a scatter graph. (b)Draw a best fitting line on the graph PupilABCDEFGHIJ Maths Score2101549614191218 Science Score61218311814171020

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Science Score Maths Score 0 5 102015 0 5 10 15 20 H B C D E F G A I J

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Science Score Maths Score 0 5 102015 0 5 10 15 20 H B C D E F G A I J

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M11.E.4.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.

M11.E.4.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.

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