Construct a scatterplot for the sets of data in the following tables:
| x | 1 | 3 | 5 | 7 | 9 |
|---|---|---|---|---|---|
| y | 3 | 7 | 11 | 15 | 19 |
| x | 1 | 18 | 11 | 3 | 12 | 1 | 16 | 2 | 18 | 4 |
|---|---|---|---|---|---|---|---|---|---|---|
| y | 15 | 7 | 11 | 11 | 13 | 13 | 4 | 4 | 17 | 16 |
Construct a scatter plot for the sets of data in the following scenarios:
Ten runners in a park record the distance they run and the amount of time they spend running:
| Time (min) | 28 | 11 | 37 | 26 | 43 | 37 | 41 | 47 | 19 | 43 |
|---|---|---|---|---|---|---|---|---|---|---|
| Distance (km) | 9.3 | 3.6 | 10.8 | 6.6 | 13.8 | 12 | 11.7 | 15 | 6.3 | 13.2 |
The following table shows the age (in years) of ten people, and the number of seconds they can hold their breath underwater:
| Age (years) | 31 | 27 | 40 | 27 | 48 | 29 | 48 | 37 | 41 | 32 |
|---|---|---|---|---|---|---|---|---|---|---|
| Time (seconds) | 9 | 7.8 | 11.1 | 8.4 | 15.6 | 8.7 | 15 | 10.2 | 12 | 10.2 |
Yvonne has a high income but does not like her job.
Which dot on the given scatterplot is most likely to represent Yvonne?
The height of the tide at a beach is recorded at ten different hours in one day:
| Time (hours) | 13 | 24 | 7 | 2 | 4 | 15 | 6 | 11 | 21 |
|---|---|---|---|---|---|---|---|---|---|
| Height (m) | -0.21 | -0.05 | 0.92 | 0.55 | 0.84 | -0.76 | 1.01 | 0.31 | -0.68 |
State the dependent and independent variables.
Construct a scatter plot for this data.
For each of the following pairs of variables:
According to the scatter plot shown, describe the relationship between someone’s vision and their height.
Describe the relationship between the variables in the following scenarios:
The price of ten houses is graphed against the house's land area.
A cafe records the number of soups sold and the daily maximum temperature.
A company records the height and annual salary of ten employees.
The scatter plot shows the relationship between air and sea temperature:
Describe the relationship between air and sea temperature.
Describe the correlation between air and sea temperature.
The following scatter plot shows the relationship between sea temperatures and the amount of healthy coral:
Describe the correlation between sea temperature the amount of healthy coral.
State the dependent variable.
State the independent variable.
Describe the relationship between the variables in the following tables:
Eight students' marks in English and History
| Mark in English | 77 | 81 | 65 | 61 | 97 | 57 | 88 | 71 |
|---|---|---|---|---|---|---|---|---|
| Mark in History | 51 | 65 | 71 | 80 | 72 | 62 | 86 | 92 |
GDP per capita and infant mortality rate of eight countries
| GDP per capita (USD) | 2100 | 3700 | 3900 | 3500 | 9200 | 3300 | 8400 |
|---|---|---|---|---|---|---|---|
| Infant mortality rate | 80 | 36 | 15 | 42 | 13 | 46 | 2 |
Height and weight of ten people
| Height (cm) | 194 | 187 | 166 | 184 | 165 | 162 | 174 | 190 |
|---|---|---|---|---|---|---|---|---|
| Weight (kg) | 75.27 | 73.43 | 52.36 | 60.94 | 62.62 | 52.49 | 57.52 | 72.20 |
Soccer players measure the distance they can kick a ball at different angles and record the measurements in the table below:
| Angle (Degrees) | 44 | 24 | 25 | 69 | 76 | 66 | 65 | 26 | 14 | 37 |
|---|---|---|---|---|---|---|---|---|---|---|
| Distance (m) | 59 | 33 | 44 | 34 | 26 | 40 | 42 | 45 | 15 | 45 |
State the independent and dependent variables.
Construct a scatter plot using the data from the table.
Describe the relationship between angle and distance.
The number of accidents on a highway and the amount of rainfall on ten rainy days are recorded in the table below:
| Amount of rainfall (mm) | 1 | 17 | 17 | 18 | 17 | 24 | 4 | 6 | 23 | 1 |
|---|---|---|---|---|---|---|---|---|---|---|
| Number of accidents | 8 | 15 | 16 | 15 | 14 | 19 | 11 | 9 | 17 | 9 |
State the independent and dependent variables.
Construct a scatter plot using the data from the table.
Describe the relationship between rainfall and the number of accidents.
The volume at different pressures of a gas are measured and recorded in the table below:
| \text{Pressure (kPa)} | 400 | 500 | 1600 | 1200 | 100 | 800 | 1100 | 1300 | 1500 | 1800 |
|---|---|---|---|---|---|---|---|---|---|---|
| \text{Volume} \left(\text{cm}^{3}\right) | 2.2 | 1.6 | 0.4 | 0.7 | 8 | 0.9 | 0.9 | 0.5 | 0.7 | 0.3 |
State the independent and dependent variables.
Construct a scatter plot using the data from the table.
Describe the relationship between pressure and volume.
A researcher is studying the relationship between the number of passers-by present in a situation and the time taken, in seconds, until a stranger in an emergency receives help from a passer-by. The data is recorded in the table below:
| \text{Number of passers-by (n)} | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| \text{Time until help is offered (t)} | 8 | 19 | 26 | 37 | 51 | 65 |
Construct a scatterplot using the data from the table.
As more passers-by are present what happens to the time taken until help is offered?
Describe the correlation between the number of passers-by and the time until assistance is offered.
Does the scatterplot contain any outliers?
Scientists conducted a study where each person was asked to read a paragraph and then recount as much information as they can remember. They found that the longer the paragraph, the less information each person could retain.
If the length of the paragraph were plotted (on the horizontal axis) against the amount of information retained (on the vertical axis), would the correlation be negative or positive?
Consider the table of values that show four excerpts from a database comparing the income per capita of a country and the child mortality rate of the country.
If a scatterplot was created from the entire database, would you expect the relationship to be a strongly positive, strongly negative or have no relationship?
| Income per capita | Child mortality rate |
|---|---|
| 1465 | 67 |
| 11\,428 | 16 |
| 2621 | 35 |
| 32\,468 | 9 |