slide1 n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
1. A positive correlation. As one quantity increases so does the other. PowerPoint Presentation
Download Presentation
1. A positive correlation. As one quantity increases so does the other.

Loading in 2 Seconds...

play fullscreen
1 / 21

1. A positive correlation. As one quantity increases so does the other. - PowerPoint PPT Presentation


  • 89 Views
  • Uploaded on

Scatter Graphs. Scatter graphs are used to show whether there is a relationship between two sets of data. The relationship between the data can be described as either:. Height. Soup Sales. Shoe Size. Annual Income. Shoe Size. Temperature.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about '1. A positive correlation. As one quantity increases so does the other.' - bob


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

Scatter Graphs

Scatter graphs are used to show whether there is a relationship between two sets of data. The relationship between the data can be described as either:

Height

Soup Sales

Shoe Size

Annual Income

Shoe Size

Temperature

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.

No correlation

Negative correlation

Positive Correlation

slide2

Scatter graphs are used to show whether there 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.

Height

Soup Sales

Shoe Size

Annual Income

Shoe Size

Temperature

Scatter Graphs

A negative correlation is characterised by a straight line with a negative gradient.

A positive correlation is characterised by a straight line with a positive gradient.

slide3

State the type of correlation for the scatter graphs below and write a sentence describing the relationship in each case.

3

1

2

Petrol consumption (mpg)

Physics test scores

Height

KS 3 Results

Car engine size (cc)

Maths test scores

Sales of Ice Cream

4

6

5

Sales of Sun cream

Heating bill (£)

Daily rainfall totals (mm)

Daily hours of sunshine

Outside air temperature

Positive

None

Negative

People with higher maths scores tend to get higher physics scores.

There is no relationship between KS 3 results and the height of students.

As the engine size of cars increase, they use more petrol. (Less mpg)

People tend to buy less ice cream in rainier weather.

People tend to buy more sun cream when the weather is sunnier.

As the outside air temperature increases, heating bills will be lower.

Negative

Positive

Negative

slide4

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

Moderate Positive

Weak Positive

Strong negative

Moderate Negative

Weak negative

slide5
Lobf

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.

The sum of the vertical distances above the line should be roughly the same as those below.

question 1
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.

Plotting the data points/Drawing a line of best fit/Answering questions.

Size

5

12

7

10

10

9

8

11

6

8

Mass

65

97

68

92

78

78

76

88

74

80

100

95

90

85

80

Mass (kg)

75

70

65

60

9

8

10

13

6

12

4

5

7

11

Shoe Size

slide7

(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

100

95

90

85

80

Mass (kg)

75

70

65

60

9

8

10

13

6

12

4

5

7

11

Shoe Size

slide8

(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

100

95

90

85

80

Mass (kg)

75

70

65

60

9

8

10

13

6

12

4

5

7

11

Shoe Size

slide9

(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

100

95

90

85

80

Mass (kg)

75

70

65

60

9

8

10

13

6

12

4

5

7

11

Shoe Size

slide10

(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

100

95

90

85

80

Mass (kg)

75

70

65

60

9

8

10

13

6

12

4

5

7

11

Shoe Size

slide11

(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

100

95

90

85

80

Mass (kg)

75

70

65

60

9

8

10

13

6

12

4

5

7

11

Shoe Size

slide12

(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

100

(b) Draw a line of best fit and comment on the correlation.

95

87 kg

90

85

80

Mass (kg)

75

70

65

Size 6

60

9

8

10

13

6

12

4

5

7

11

Shoe Size

Positive

  • (c) Use your line of best fit to estimate:
  • The mass of a man with shoe size 10½.
  • (ii) The shoe size of a man with a mass of 69 kg.
question2
Question2

(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.

Hours Sunshine

6

0.5

8

3

8

10

7

5

3

2

Visitors

300

475

100

390

200

50

175

220

350

320

500

450

400

350

300

Number of Visitors

250

200

150

100

0

6

5

7

10

8

3

9

1

2

4

Hours of Sunshine

slide14

(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.

Hours Sunshine

6

0.5

8

3

8

10

7

5

3

2

Visitors

300

475

100

390

200

50

175

220

350

320

500

450

400

350

300

Number of Visitors

250

200

150

100

0

6

5

7

10

8

3

9

1

2

4

Hours of Sunshine

slide15

(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.

Hours Sunshine

6

0.5

8

3

8

10

7

5

3

2

Visitors

300

475

100

390

200

50

175

220

350

320

500

450

400

350

300

Number of Visitors

250

200

150

100

0

6

5

7

10

8

3

9

1

2

4

Hours of Sunshine

slide16

(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.

Hours Sunshine

6

0.5

8

3

8

10

7

5

3

2

Visitors

300

475

100

390

200

50

175

220

350

320

500

450

400

350

300

Number of Visitors

250

200

150

100

0

6

5

7

10

8

3

9

1

2

4

Hours of Sunshine

slide17

(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.

Hours Sunshine

6

0.5

8

3

8

10

7

5

3

2

Visitors

300

475

100

390

200

50

175

220

350

320

500

(b) Draw a line of best fit and comment on the correlation.

450

400

350

300

Number of Visitors

310

250

200

150

5 ½

100

0

6

5

7

10

8

3

9

1

2

4

Hours of Sunshine

Negative

  • (c) Use your line of best fit to estimate:
  • The number of visitors for 4 hours of sunshine.
  • (ii) The hours of sunshine when 250 people visit.
means 1
Means 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

100

95

90

85

80

Mass (kg)

75

70

65

60

9

8

10

13

6

12

4

5

7

11

Shoe Size

(b) Draw a line of best fit and comment on the correlation.

If you have a calculator you can find the mean of each set of data and plot this point to help you draw the line of best fit. Ideally all lines of best fit should pass through: (mean data 1, mean data 2) In this case: (8.6, 79.6)

means 2
Means 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.

Hours Sunshine

6

0.5

8

3

8

10

7

5

3

2

Visitors

300

475

100

390

200

50

175

220

350

320

500

450

400

350

300

Number of Visitors

250

200

150

100

0

6

5

7

10

8

3

9

1

2

4

Hours of Sunshine

(b) Draw a line of best fit and comment on the correlation.

If you have a calculator you can find the mean of each set of data and plot this point to help you draw the line of best fit. Ideally all lines of best fit should pass through co-ordinates: (mean data 1, mean data 2) In this case: (5.2, 258))

Mean 2

worksheet 1
Worksheet 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

100

95

90

85

80

Mass (kg)

75

70

65

60

9

8

10

13

6

12

4

5

7

11

Shoe Size

worksheet 2
Worksheet 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.

Hours Sunshine

6

0.5

8

3

8

10

7

5

3

2

Visitors

300

475

100

390

200

50

175

220

350

320

500

450

400

350

300

Number of Visitors

250

200

150

100

0

6

5

7

10

8

3

9

1

2

4

Hours of Sunshine