1 markThe scatter diagram shows the number of people and the number of phones in each of 8 buildings.
One of the buildings contains 42 people. Write down the number of phones in this building.
1 markWhat type of correlation is shown in the scatter diagram?
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1 mark
What type of correlation does the scatter diagram show?
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1 mark“We eat more ice cream as the temperature rises.” What type of correlation is this?
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1 markThe scatter graph shows some information about 10 cars, of the same type and make.
The graph shows the age (years) and the value (£) of each car.
The table shows the age and the value of two other cars of the same type and make.
age(years) | 1 | 3.5 |
value(£) | 8200 | 5000 |
On the scatter graph, plot the information from the table.
1 markDescribe the relationship between the age and the value of the cars.
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1 markThe scatter graph shows information about 10 apartments in a city.
The graph shows the distance from the city centre and the monthly rent of each apartment.
The table shows the distance from the city centre and the monthly rent for two other apartments.
Distance from the city centre(km) | 2 | 3.1 |
Monthly rent(£) | 250 | 190 |
On the scatter graph, plot the information from the table.
1 markDescribe the relationship between the distance from the city centre and the monthly rent.
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1 markThe scatter diagram shows the value, in thousands of dollars, of eight houses in 1996 and the value of the same houses in 2016.
One of these eight houses had a value of $70 000 in 1996.
Write down the value of this house in 2016.
$ ................................................
1 markThe values of two more houses are shown in the table.
Value in 1996 ($ thousands) |
|
|
Value in 2016 ($ thousands) |
|
|
On the scatter diagram, plot these values.
1 markOn the scatter diagram, draw a line of best fit.
1 markAnother house had a value of $50 000 in 1996. Find an estimate of the value of this house in 2016.
$ ................................................
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3 marksThe scatter diagram shows the physics mark and the chemistry mark for each of 12 students.
i) What type of correlation is shown in the scatter diagram?
[1]
ii) On the scatter diagram, draw a line of best fit.
[1]
iii) Find an estimate of the chemistry mark for another student who has a physics mark of 4.
[1]
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2 marksAisha records the distance she runs and her average speed. The results are shown in the scatter diagram.
The table shows the results of four more runs.
Distance (km) | 4.2 | 5.7 | 7.1 | 8.8 |
Average speed (km/h) | 13.4 | 11.8 | 9.8 | 8.3 |
On the scatter diagram, plot these points.
1 markWhat type of correlation is shown in the scatter diagram?
1 markOn the scatter diagram, draw a line of best fit.
1 markUse your line of best fit to estimate her average speed when she runs a distance of 6 km.
........................................ km/h
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1 markMrs Salaman gives her class two mathematics tests.
The scatter diagram shows information about the marks each student scored.
Write down the highest mark scored on test 1.
1 markWrite down the type of correlation shown in the scatter diagram.
1 markDraw a line of best fit on the scatter diagram.
1 markHamish scored a mark of 40 on test 1.
He was absent for test 2.
Use your line of best fit to find an estimate for his mark on test 2.
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1 markTen athletes compete in both the 100 metre race and the triple jump.
Their results are shown in the scatter diagram.
One of these athletes jumps 15.12 m in the triple jump.
Write down his time for the 100 metre race.
.................................................. s
1 markThe values for two other athletes are shown in the table.
Distance in the triple jump (m) 14.74 15.2 Time for 100 m (seconds) 13.2 12.76
On the scatter diagram, plot these points.
1 markOn the scatter diagram, draw a line of best fit.
1 markWhat type of correlation is shown in the scatter diagram?
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1 markA publisher checks documents for errors.
He records the number of documents that are checked each day.
He also records the total number of errors in the documents each day.
The scatter graph shows this information.
On another day 90 documents are checked.
There is a total of 17 errors.
Show this information on the scatter graph.
1 markDescribe the correlation between the number of documents checked and the total number of errors.
2 marksOne day 110 documents are checked.
Estimate the total number of errors in these documents.
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1 markA delivery driver records for each delivery the distance he drives and the time taken.
The scatter graph shows this information.
For another delivery he drives 22 kilometres and takes 50 minutes.
Show this information on the scatter graph.
1 markWhat type of correlation does the scatter graph show?
2 marksThe driver has to drive a distance of 10 km for his next delivery.
Estimate the time taken for this delivery.
1 markDuring one of the deliveries, the driver was delayed by road works.
Using the graph write down the time taken for this delivery.
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3 marksIn a survey, the outside temperature and the number of units of electricity used for heating were recorded for ten homes.
The scatter diagram shows this information.
Molly says,
"On average the number of units of electricity used for heating decreases by 4 units for each °C increase in outside temperature."
Is Molly right?
Show how you get your answer.
1 markYou should not use a line of best fit to predict the number of units of electricity used for heating when the outside temperature is 30 °C.
Give one reason why.
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2 marksA travel agent records the duration and cost of the 15 flights he sold on one day.
The data for the first 13 flights are plotted on the scatter diagram.
The data for the final two flights is:
Duration | 210 minutes | 1 hour 40 minutes |
Cost | £130 | £80 |
Plot these flights on the scatter diagram.
1 markThe cost of one of the 15 flights had been discounted in a sale.
Circle the most likely flight on the scatter diagram.
1 marki) Draw a line of best fit on the scatter diagram.
ii) Use your line of best fit to estimate the duration of a flight costing £90.
............................................. minutes
1 markExplain why the travel agent should not use his records to estimate the cost of a 7 hour flight.
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2 marksThe table shows the ages and values of 11 cars of the same model.
Age (years) | 4 | 7 | 11 | 1 | 9 | 10 | 4 | 3 | 7 | 8 | 12 |
Value (thousands of pounds) | 9.2 | 6.0 | 1.2 | 11.4 | 2.3 | 4.2 | 3.4 | 8.0 | 5.6 | 5.0 | 0.4 |
The points for the first 7 cars are plotted on the scatter diagram.
Plot the points for the remaining 4 cars.
2 marksDescribe the type and strength of the correlation shown in the completed scatter diagram.
1 markOne car lost its value more quickly than the other cars.
On the scatter diagram, draw a circle around the point representing this car.
2 marksBy drawing a line of best fit, estimate the value of a car that is 6 years old.
£ ......................................................
1 markExplain the limitations of using the equation of the line of best fit to estimate the value of a car that is 16 years old.
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5 marksThe table shows the test marks in mathematics and physics for 10 students.
Mathematics mark | 30 | 50 | 35 | 25 | 5 | 39 | 48 | 40 | 10 | 15 |
Physics mark | 26 | 39 | 35 | 28 | 9 | 37 | 45 | 33 | 16 | 12 |
i) On the grid, complete the scatter diagram to show the mathematics and physics marks for the 10 students.
The first four points have been plotted for you.
[2]
ii) What type of correlation does your scatter diagram show?
[1]
iii) Draw a line of best fit on the grid.
[1]
iv) Ann missed the physics test but scored 22 marks in the mathematics test. Use your line of best fit to estimate a possible physics mark for Ann.
[1]
1 markFind the range of marks in the mathematics test.
1 markShow that the mean physics mark for the 10 students is 28.
3 marksTwo new students do the physics test.
They both score the same mark.
The mean physics mark for the 12 students is 31.
Calculate the physics mark for the new students
2 marksTwo of the original 10 students are chosen at random.
Work out the probability that both students scored less than 20 in the mathematics test.
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