The scatter diagram gives fuel consumption and carbon dioxide emissions for 10 cars.

(a) Plot the point for another car, with fuel consumption \(6.2\text{ litres}/100\text{ km}\) and emissions \(162\text{ g/km}\). [1]

(b) State the type of correlation. [1]

(c) Draw a line of best fit. [1]

(d) Use your line to estimate the fuel consumption of a car with emissions \(140\text{ g/km}\). [1]

The table shows the study time and number of test errors for 9 students.

(a) Complete the scatter diagram. The first 6 points are plotted. [2]

(b) State the type of correlation. [1]

(c) Draw a line of best fit. [1]

(d) Use your line to estimate the number of errors for a student who studies for 13 minutes. [1]

The table shows the ages and masses of 10 babies.

(a) Complete the scatter diagram. The first six points are plotted. [2]

(b) State the type of correlation. [1]

(c) Draw a line of best fit. [1]

(d) Estimate the mass of a 14-week-old baby from your line. [1]

The number of ice creams sold increases as temperature rises. Name this type of correlation. [1]

The scatter diagram compares the values of ten paintings in 2005 and 2025, in thousands of dollars.

(a) Circle the point for a painting whose 2025 value is lower than expected. [1]

(b) Plot another painting worth \(\$75000\) in 2005 and \(\$140000\) in 2025. [1]

(c) How many of the original paintings were worth less than \(\$53000\) in 2005? [1]

(d) State the type of correlation. [1]

As temperature increases, the number of people swimming increases. State the type of correlation. [1]

The scatter diagram shows the number of rooms and people in each of eight buildings.

(a) One building has 67 rooms. How many people are in it? [1]

(b) Another building has 42 people and 33 rooms. Plot this point. [1]

(c(i)) Draw a line of best fit. [1]

(c(ii)) Estimate the number of rooms in a building with 45 people. [1]

(d) State the type of correlation. [1]

The scatter diagram gives salary and car value for 10 people working in an office.

(a) Find the car value for the person with salary \$28 000. [1]

(b) Plot another person with salary \$54 000 and car value \$6100. [1]

(c) State the type of correlation. [1]

As temperature increases, people eat more ice cream. What type of correlation is described? [1]

(a) Eight days are plotted. On the day with 410 visitors, find total spending in dollars. [1]

(b) Plot the ninth day: 175 visitors spend \$9000. [1]

(c) Draw a line of best fit. [1]

(d) On day ten, spending is \$22000. Estimate the visitor count. [1]

Fewer bowls of hot soup are sold as temperature rises. State the type of correlation. [1]

(a) Choose the correct statement: no correlation; too few points to tell whether there is correlation; negative correlation; positive correlation. [1]

(b) Each diagram A–D uses the same data. Which has the most appropriate line of best fit? [1]

The scatter diagram shows class marks on two mathematics tests.

(a) State the highest mark on test 1. [1]

(b) State the type of correlation. [1]

(c) Draw a line of best fit. [1]

(d) Hamish scored 40 on test 1 but missed test 2. Use your line to estimate his test 2 mark. [1]

Aisha records distances and average running speeds in the scatter diagram.

(a) Add the four runs.

(b) State the correlation. [1]

(c) Draw a line of best fit. [1]

(d) Estimate average speed for a6 km run. [1]

The scatter diagram shows people and phones in each of 8 buildings.

(a) A building contains 42 people. Write down its number of phones. [1]

(b) State the type of correlation. [1]

Ten athletes compete in the 100 metre race and triple jump. Their results are shown.

(a) One athlete jumps 15.12 m. Write down his time for the 100 metre race. [1]

(b) Plot the additional athletes: (14.74 m,13.2 s) and (15.2 m,12.76 s). [1]

(c) Draw a line of best fit. [1]

(d) State the type of correlation. [1]

“We eat more ice cream as the temperature rises.” What type of correlation is this? [1]

The scatter diagram shows the values (thousands of dollars) of eight houses in 1996 and 2016.

(a) A house was worth \$70 000 in 1996. State its value in 2016. [1]

(b) Plot these two further houses. [1]

(c) Draw a line of best fit. [1]

(d) Estimate the 2016 value of a house worth \$50 000 in 1996. [1]

State the type of correlation. [1]

Six students revised for a test. The scatter diagram gives revision time and test mark.

(a) Plot these two additional students on the diagram. [1]

(b) State the type of correlation. [1]

(c) Draw a line of best fit. [1]

(d) Estimate the mark for a student revising for 5.5 hours. [1]

Hot drink sales in a café decrease as the weather becomes warmer. What type of correlation is shown? [1]

A café records these values over one week.

(a) Draw a scatter diagram. [2]

(b) State the type of correlation. [1]

(c) Draw a line of best fit. [1]

The marks for 10 students are shown.

(a(i)) Complete the scatter diagram; four points are already plotted. [2]

(a(ii)) State the type of correlation. [1]

(a(iii)) Draw a line of best fit. [1]

(a(iv)) Ann scores 22 in Mathematics. Estimate her English mark using your line. [1]

(b) Show that the mean English mark is 28. [2]

(c) Two new students score the same English mark. The new mean for 12 students is 31. Find their marks. [3]

A company sends ten different questionnaires.

(a) Complete the scatter diagram. The first two points are plotted. [2]

(b) Describe the correlation. [1]

(c) Draw a line of best fit. [1]

The diagram shows Mathematics and English test marks for 15 students.

(a) Describe the correlation. [1]

(b) The mean marks are 47.3 in Mathematics and 30.3 in English. Plot the mean point (47.3,30.3). [1]

(c)(i) Draw a line of best fit. [1]

(c)(ii) A student missed the English test and scored 45 in Mathematics. Use your line to estimate her English mark. [1]