The scatter diagram shows data of the price of an item as a function of its supply. Describe the correlation as positive or negative.
The scatter diagram shows data of the price of an item as a function of its demand. Describe the correlation as positive or negative.
For each of the following scatter plots, describe the correlation as positive or negative:
For each of the following pairs of variables:
For each of the following scatter plots, describe the correlation in terms of strength and direction:
According the scatter plot shown, describe the relationship between someone’s vision and their height.
Yvonne has a high income but does not like her job.
Which dot is most likely to represent Yvonne?
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 graph show a positive or negative relationship?
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.
Which variable is the response variable?
Which variable is the explanatory variable?
After a mathematics exam, Lachlan commented that he left out Question 10 because it was not relevant to the topics that were assessed, but that the other questions were fine. The teacher felt that Question 10 and Question 7 were assessing the same skills, so she decided to look at the results of students across all 8 classes. She plotted the percentage who had gotten Question 10 correct against the percentage who had gotten Question 7 correct as shown below:
According to the graph, who is correct: Lachlan or the teacher?
Let's assume that Lachlan performed exceptionally well in every other question. If a whole class of students had the same result as Lachlan, where could this class’s results appear on the scatter plot, region 1, 2, 3 or 4?
The land size of a sample of properties and their selling price were graphed on the scatter plot below:
Which size range that contains the most properties?
Another property that is not represented in the scatter plot sold for \$704\,000 and measured 3600 square feet in size. Is this consistent with the relationship shown in the graph?
Construct a scatterplot for the set of data in the following table:
| x | 1 | 3 | 5 | 7 | 9 |
|---|---|---|---|---|---|
| y | 3 | 7 | 11 | 15 | 19 |
The following table shows the number of traffic accidents associated with a sample of drivers of different age groups:
| Age | 20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 | 65 |
|---|---|---|---|---|---|---|---|---|---|---|
| Accidents | 41 | 44 | 39 | 34 | 30 | 25 | 22 | 18 | 19 | 17 |
Construct a scatter plot for this data.
Describe the correlation between a person's age and the number of accidents.
Does this data set contain any outliers?
The following table shows the average IQ of a random group of people against their height:
| \text{Height (cm)} | 140 | 145 | 150 | 155 | 160 | 165 | 170 | 175 | 180 | 185 |
|---|---|---|---|---|---|---|---|---|---|---|
| \text{IQ} | 103 | 95 | 98 | 111 | 85 | 89 | 108 | 145 | 110 | 93 |
Construct a scatterplot using the data from the table.
Is IQ and height negatively correlated, postively correlated or not correlated?
How tall is the person who appears to be an outlier?
Scientists were looking for a relationship between the number of hours of sleep we receive and the effect it has on our motor and process skills. Some subjects were asked to sleep for different amounts of time, and were all asked to undergo the same driving challenge in which their reaction time was measured. The data is recorded in the table below:
| Amount of sleep (hours) | 9 | 6 | 4 | 10 | 3 | 7 | 2 | 5 |
|---|---|---|---|---|---|---|---|---|
| Reaction time (seconds) | 3 | 3.3 | 3.5 | 3 | 3.7 | 3.2 | 3.85 | 3.55 |
Construct a scatterplot using the data from the table.
Is amount of sleep and reaction time negatively correlated, postively correlated or not correlated?
According to the results, does an increased amount of sleep generally lead to improved reaction times?
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?
The following table shows the marks of 12 students in Maths and Sports:
Construct a scatter plot for the students' marks in Maths vs their marks in Sports.
Describe the correlation between students' marks in Maths and marks in Sports.
Which student's scores appear to represent an outlier?
| Student | Maths | Sports |
|---|---|---|
| 1 | 63 | 44 |
| 2 | 92 | 74 |
| 3 | 60 | 52 |
| 4 | 79 | 70 |
| 5 | 88 | 67 |
| 6 | 81 | 60 |
| 7 | 61 | 73 |
| 8 | 91 | 86 |
| 9 | 72 | 84 |
| 10 | 42 | 93 |
| 11 | 66 | 57 |
| 12 | 92 | 92 |
The following table shows the marks of 12 students in English and French:
Construct a scatter plot for English mark vs French mark.
Describe the correlation between students' English and French marks.
Which student's scores appear to represent an outlier?
| Student | English | French |
|---|---|---|
| 1 | 85 | 89 |
| 2 | 71 | 71 |
| 3 | 57 | 56 |
| 4 | 60 | 62 |
| 5 | 79 | 86 |
| 6 | 76 | 75 |
| 7 | 71 | 77 |
| 8 | 91 | 86 |
| 9 | 50 | 90 |
| 10 | 49 | 47 |
| 11 | 66 | 67 |
| 12 | 92 | 92 |
The table lists the time taken to sprint 400 metres by runners who all ran in different temperatures as part of a study:
Construct a scatter plot to represent the data in the table.
How many runners were tested in the study?
Describe the correlation between temperature and sprint time for the data.
Which data point represents an outlier?
| \text{Temperature }\\( \degree\text{C}) | \text{Time (sec)} |
|---|---|
| 5 | 60 |
| 2 | 67 |
| 10 | 48 |
| 8 | 69 |
| 1 | 65 |
| 7 | 49 |
| 6 | 57 |
| 4 | 53 |
| 3 | 59 |
| 9 | 52 |
To determine whether the presence of sharks in a coastal region is influenced by cage diving, the number of nearby cage diving operations and the number of nearby shark sightings was recorded each month over several months. The results are shown in the table below:
| Cage diving operations | 10 | 2 | 4 | 7 | 8 | 5 | 1 | 9 | 6 | 3 |
|---|---|---|---|---|---|---|---|---|---|---|
| Shark sightings | 4 | 3 | 5 | 4 | 1 | 4 | 5 | 7 | 10 | 8 |
Construct a scatterplot using the data from the table.
Describe the correlation between the number of shark sightings and the number of cage diving operations.
According to the data, is it possible to determine whether cage diving operations encourage more sharks to come near the shoreline?
The market price of bananas varies throughout the year. Each month, a consumer group compared the average quantity of bananas supplied by each producer to the average market price (per unit).
Construct a scatterplot using the data from the table.
Describe the correlation between the supply quantity and the market price of bananas.
According to this data, when will a supplier of bananas receive a higher price per banana?
| \text{Supply (kg)} | \text{Price (dollars) } |
|---|---|
| 550 | 15.25 |
| 600 | 14.75 |
| 650 | 14.75 |
| 700 | 14.75 |
| 750 | 14.25 |
| 800 | 14.00 |
| 850 | 13.75 |
| 900 | 13.25 |
| 950 | 13.50 |
| 1000 | 13.25 |
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 |