Algebra 2/Trig 1



Correlation and Line of Best FitScatter Plot: A type of graph used to determine whether there is a relationship between paired data.xy-40-35-1-6244-27131229306043500Example: 23082259461500CorrelationIt is determined by the ______of the line that could be drawn through the scatter plot.563435530453_____________________00_____________________391193223743_____________________00_____________________215055129127_____________________00_____________________A ___________________________ is a line that approximates the correlation of a set of paired data.Steps to Approximate a Best-Fit Line:Carefully draw a scatter plot of the data. Using a ruler, draw a line that appears to follow _________________ the pattern given by the points.There should be as many points _____________ the line as there are _____________ it.Choose _______ points on the line and estimate the coordinates of each point.These two points do not have to be ____________________________________These two points should be on the grid (__________________________________)Find the equation of the line through the two points that you chose. (Find m, find b, plug in…).This equation “models” the data. You can use this equation to_____________________ other data.-22415516700500Is there a relationship between the length of a person’s forearm and foot??2731273-2482) Write the equation of the best fitting line. Slope intercept form: ___________________________3) Predict the foot length of someone with forearm length of 35 cm._____________ 02) Write the equation of the best fitting line. Slope intercept form: ___________________________3) Predict the foot length of someone with forearm length of 35 cm._____________ left2342871) Type of correlation. __________________ 01) Type of correlation. __________________ Examples: 1) Speed on a Bicycle TripSuppose you want to find out how long it takes you to bike a certain number of miles. You collected the following data and made a table that shows the miles you biked and the time (in minutes) it took to bike those miles.Miles510141822Time (in Min)2746717810736480754508500 Make a scatter plot to represent the data.Describe the correlation of the set of data.Draw a line of best fit for your scatter plot. Write the equation of the line using two points that lie on your line of best fit.Points: __________ and __________Use your equation from part d) to predict how long it would take you to bike 35 miles. Show work!-1097282490222.002.34930092676923.003.356616015288300left91262Algebra 2/Trig Line of Best Fit Practice! Name:___________________Tail Growth of Tad Poles363474047688500Suppose you are studying the way a tadpole turns into a frog. You collect the following data to make a table that shows the ages and lengths of the tails of 8 tadpoles.Age (days)Length of Tail (mm)514215937812110331269 Make a scatter plot to represent the data.Describe the correlation of the set of data:_____________Draw a line of best fit for your scatter plot. Write the equation of the line using two points that lie on your line of best fit.Points: __________ and __________Use your equation to determine the length of the tail at 8 days old.404896343586387314571633.003.3923894399290016314416144200left1097282.002. ................
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