Scatter Graphs Scatter graphs are used to show

Scatter Graphs Scatter graphs are used to show whethere is a relationship between two sets of data. The relationship between the data can be described as either: 1. A positive correlation. As one quantity increases so does the other. 2. A negative correlation. As one quantity increases the other decreases. Shoe Size Height Soup Sales 3. No correlation. Both quantities vary with no clear relationship. Shoe Size Temperature Positive Correlation Negative correlation Annual Income No correlation

Scatter Graphs Scatter graphs are used to show whethere is a relationship between two sets of data. The relationship between the data can be described as either: 1. A positive correlation. As one quantity increases so does the other. 2. A negative correlation. As one quantity increases the other decreases. 3. No correlation. Both quantities vary with no clear relationship. Shoe Size Height Soup Sales A negative positive correlation is is characterised by by aa straight line with aa positive negativegradient. Temperature Annual Income

Negative 3 None Height (mpg) 2 Petrol consumption Positive Negative Outside air temperature 5 Positive Sales of Ice Cream 4 Sales of Sun cream KS 3 Results Car engine size (cc) Maths test scores There with no relationship higher maths between scores tend KS 3 to results get higher and the physics scores. of students. As People theis tend engine outside tosize buy air temperature of less more cars ice sun increase, cream increases, inwhen rainier they the use heating weather more bills petrol. isheight will sunnier. (Less be lower. mpg) Heating bill (£) 1 Physics test scores State the type of correlation for the scatter graphs below and write a sentence describing the relationship in each case. 6 Negative Daily hours of sunshine Daily rainfall totals (mm)

A positive or negative correlation is characterised by a straight line with a positive /negative gradient. The strength of the correlation depends on the spread of points around the imagined line. Strong Positive Strong negative Moderate Positive Weak Positive Moderate Negative Weak negative

Drawing a Line of Best Fit A line of best fit can be drawn to data that shows a correlation. The stronger the correlation between the data, the easier it is to draw the line. The line can be drawn by eye and should have roughly the same number of data points on either side. Lobf The sum of the vertical distances above the line should be roughly the same as those below.

(1). The table below shoe size and mass of 10 men. Plotting theshows datathe points/Drawing a line of (a) Plot a scatter for this data andquestions. draw a line of best fit. bestgraph fit/Answering Size 5 12 7 10 10 9 8 11 6 8 Mass 65 97 68 92 78 78 76 88 74 80 Mass (kg) 100 95 90 85 80 75 70 65 60 4 5 6 7 8 9 10 11 12 13 Shoe Size Question 1

(1). The table below shows the shoe size and mass of 10 men. (a) Plot a scatter graph for this data and draw a line of best fit. Size 5 12 7 10 10 9 8 11 6 8 Mass 65 97 68 92 78 78 76 88 74 80 Mass (kg) 100 95 90 85 80 75 70 65 60 4 5 6 7 8 9 10 11 12 13 Shoe Size

(1). The table below shows the shoe size and mass of 10 men. (a) Plot a scatter graph for this data and draw a line of best fit. Size 5 12 7 10 10 9 8 11 6 8 Mass 65 97 68 92 78 78 76 88 74 80 Mass (kg) 100 95 90 85 80 75 70 65 60 4 5 6 7 8 9 10 11 12 13 Shoe Size

(1). The table below shows the shoe size and mass of 10 men. (a) Plot a scatter graph for this data and draw a line of best fit. Size 5 12 7 10 10 9 8 11 6 8 Mass 65 97 68 92 78 78 76 88 74 80 Mass (kg) 100 95 90 85 80 75 70 65 60 4 5 6 7 8 9 10 11 12 13 Shoe Size

(1). The table below shows the shoe size and mass of 10 men. (a) Plot a scatter graph for this data and draw a line of best fit. Size 5 12 7 10 10 9 8 11 6 8 Mass 65 97 68 92 78 78 76 88 74 80 Mass (kg) 100 95 90 85 80 75 70 65 60 4 5 6 7 8 9 10 11 12 13 Shoe Size

(2). The table below shows the number of people who visited a museum over a 10 day period last summer together with the daily sunshine totals. (a) Plot a scatter graph for this data and draw a line of best fit. 6 0. 5 8 3 8 10 Visitors 300 475 100 390 200 50 Number of Visitors Hours Sunshine 7 5 3 2 175 220 350 320 500 450 400 350 300 250 200 150 100 0 1 2 3 4 5 6 7 8 9 10 Hours of Sunshine Question 2

(2). The table below shows the number of people who visited a museum over a 10 day period last summer together with the daily sunshine totals. (a) Plot a scatter graph for this data and draw a line of best fit. 6 0. 5 8 3 8 10 Visitors 300 475 100 390 200 50 Number of Visitors Hours Sunshine 500 450 400 350 300 250 200 150 100 0 1 2 3 4 5 6 7 8 9 10 Hours of Sunshine 7 5 3 2 175 220 350 320

(2). The table below shows the number of people who visited a museum over a 10 day period last summer together with the daily sunshine totals. (a) Plot a scatter graph for this data and draw a line of best fit. 6 0. 5 8 3 8 10 Visitors 300 475 100 390 200 50 Number of Visitors Hours Sunshine 500 450 400 350 300 250 200 150 100 0 1 2 3 4 5 6 7 8 9 10 Hours of Sunshine 7 5 3 2 175 220 350 320

(2). The table below shows the number of people who visited a museum over a 10 day period last summer together with the daily sunshine totals. (a) Plot a scatter graph for this data and draw a line of best fit. 6 0. 5 8 3 8 10 Visitors 300 475 100 390 200 50 Number of Visitors Hours Sunshine 500 450 400 350 300 250 200 150 100 0 1 2 3 4 5 6 7 8 9 10 Hours of Sunshine 7 5 3 2 175 220 350 320

(1. ) The table below shows the shoe size and mass of 10 men. (a) Plot a scatter graph for this data and draw a line of best fit. Size 5 12 7 10 10 9 8 11 6 8 Mass 65 97 68 92 78 78 76 88 74 80 Mass (kg) 100 95 90 85 80 75 70 65 60 4 5 6 7 8 9 10 11 12 13 Shoe Size Worksheet 1

(2). The table below shows the number of people who visited a museum over a 10 day period last summer together with the daily sunshine totals. (a) Plot a scatter graph for this data and draw a line of best fit. 6 0. 5 8 3 8 10 Visitors 300 475 100 390 200 50 Number of Visitors Hours Sunshine 7 5 3 2 175 220 350 320 500 450 400 350 300 250 200 150 100 0 1 2 3 4 5 6 7 8 9 10 Hours of Sunshine Worksheet 2