Presentation on theme: "Objective: Determine the correlation of a scatter plot"— Presentation transcript:
1Objective: Determine the correlation of a scatter plot Lesson 11.4: Scatter PlotsObjective: Determine the correlation of a scatter plot
2Warm UpWhat is the slope of a line that passes through points with coordinates (-2,-6) and (-4, -5)?a. -2 b. - 1/2 c. 1/2 d. 2Given that the Slope Intercept Formula isy = mx + b, and remembering thatm = the slope, give the slope of the following linear equations:a. y = -3x + 5b. y = 3/5x + 7c. y = 4x - 3What is the slope of the equation3x + 2y = 6?(Hint: Solve for y. This will give you the Slope Intercept Form)
3Scatter PlotA scatter plot is a graph of a collection of ordered pairs (x,y).The graph looks like a bunch of dots, but some of the graphs are a general shape or move in a general direction.
4Positive CorrelationIf the x-coordinates and the y-coordinates both increase, then it is POSITIVE CORRELATION.This means that both are going up, and they are related.
5Positive CorrelationIf you look at the age of a child and the child’s height, you will find that as the child gets older, the child gets taller. Because both are going up, it is positive correlation.Age12345678Height “2531343640414755
6Negative CorrelationIf the x-coordinates and the y-coordinates have one increasing and one decreasing, then it is NEGATIVE CORRELATION.This means that 1 is going up and 1 is going down, making a downhill graph. This means the two are related as opposites.
7Negative CorrelationIf you look at the age of your family’s car and its value, you will find as the car gets older, the car is worth less. This is negative correlation.Age of car12345Value$30,000$27,000$23,500$18,700$15,350
8No CorrelationIf there seems to be no pattern, and the points looked scattered, then it is no correlation.This means the two are not related.
9No CorrelationIf you look at the size shoe a baseball player wears, and their batting average, you will find that the shoe size does not make the player better or worse, then are not related.
10Which scatterplots below show a linear trend? NegativeCorrelationPositiveCorrelationb)d)f)ConstantCorrelation
11Objective - To plot data points in the coordinate plane and interpret scatter plots. ySport Utility Vehicles(SUVs) Sales in U.S.54321YearSales (in Millions)19910.919921.1Vehicle Sales (Millions)19931.419941.619951.719962.119972.419982.7x19993.2Year
12Scatterplot - a coordinate graph of data points. yTrend appears linear.54321Trend is increasing.Vehicle Sales (Millions)Positive correlation.Predict the sales in 2001.xYear
13Plot the data on the graph such that homework time is on the y-axis and TV time is on the x-axis..Time SpentWatching TVTime Spenton HomeworkStudentSam30 min.180 min.Jon45 min.150 min.Lara120 min.90 min.Darren240 min.30 min.Megan90 min.90 min.Pia150 min.90 min.Crystal180 min.90 min.
14Plot the data on the graph such that homework time is on the y-axis and TV time is on the x-axis.TVHomework24021018015012090603030 min.180 min.45 min.150 min.120 min.90 min.HomeworkTime on240 min.30 min.90 min.120 min.150 min.120 min.180 min.90 min.Time Watching TV
15Describe the relationship between time spent on homework and time spent watching TV.Trend appears linear.240210180150120906030Trend is decreasing.HomeworkTime onNegative correlation.Time Watching TV