Age Time
24 32.75
29 33.63
34 34.84
39 35.33
44 35.23
49 36.16
A group of students was evaluating the average times of groups of runners for a 5K marathon. Construct the scatterplot based on the data in the table
help please
To construct a scatterplot based on the given data, you need to plot each age-time pair on a graph.
Here is a guide on how to create the scatterplot:
1. Create a coordinate system by drawing x and y axes. Label the x-axis as "Age" and the y-axis as "Time."
2. Mark the age values on the x-axis at regular intervals. In this case, you can mark the ages of 24, 29, 34, 39, 44, and 49.
3. Mark the time values on the y-axis at regular intervals. In this case, you can mark the times of 32.75, 33.63, 34.84, 35.33, 35.23, and 36.16.
4. For each age-time pair, find the corresponding intersection on the graph and mark a point.
5. Connect the points on the graph to create a scatterplot.
Your scatterplot should show a line of points gradually increasing or decreasing based on the data given.
Note: I am unable to provide you a physical representation of the scatterplot as I can only provide text-based responses. However, you can try following the steps mentioned above to create the scatterplot on a graph paper or using a graphing software.
so it should look like a straight line with dots or dot everywhere
Based on the given data, the scatterplot should show the relationship between age and time for the groups of runners. Since the data spans a range of ages and times, it is unlikely for the scatterplot to form a straight line.
The scatterplot should show individual points (dots) for each age-time pair. The dots can be spread out, clustered, or form a pattern depending on the relationship between age and time. It is possible for the scatterplot to show a general trend or pattern, such as increasing or decreasing times with age, but it may not be a perfectly straight line.
To understand the relationship between age and time more clearly, you can also calculate the correlation coefficient or run a regression analysis on the data. This would give you a quantitative measure of the relationship between the variables.
Use the table to answer the question. Number of Laps versus the Day Day 1 2 3 4 5 6 7 Number of Laps 18 12 10 15 13 20 9 A student was swimming laps for exercise. The table shows how many laps he swam each day. Which scatterplot shows the correct representation of the data?
Since the given table provides the number of laps and the corresponding day, we can plot this data on a scatterplot.
To create a scatterplot with correct representation of the data, follow these steps:
1. Create a coordinate system by drawing x and y axes. Label the x-axis as "Day" and the y-axis as "Number of Laps."
2. Mark the days on the x-axis at regular intervals. In this case, you can mark the days from 1 to 7.
3. Mark the number of laps on the y-axis at regular intervals. In this case, you can mark the number of laps from 10 to 20.
4. Plot the data from the table as individual points on the graph. For example, on Day 1, plot a point at (1, 18), on Day 2, plot a point at (2, 12), and so on.
5. Connect the points on the graph to create a scatterplot.
Please note that as a text-based AI, I cannot provide a visual representation of the scatterplot. However, you can follow the steps mentioned above to create the scatterplot on a graph paper or using a graphing software.
What are the characteristics of the graph? (1 point) Responses There are no clusters. There are no clusters. There are no outliers and one cluster. There are no outliers and one cluster. There is one cluster and one outlier. There is one cluster and one outlier. There are no outliers.
Based on the given information, the characteristics of the graph can be determined as follows:
There is one cluster and one outlier.
what does a cluster look like what is the meaning
In the context of a scatterplot, a cluster refers to a group or concentration of data points that are closely located together. It means that there is a pattern or trend in the data, with points appearing near each other in a specific region of the graph.
A cluster can have different shapes and sizes. Here are some common types of clusters:
1. Circular Cluster: The points form a circular or oval shape, suggesting a strong correlation between the variables.
2. Linear Cluster: The points align in a straight line, indicating a linear relationship between the variables.
3. Elliptical Cluster: The points form an elliptical shape, implying a moderate correlation between the variables.
4. Irregular Cluster: The points gather in a non-uniform shape, indicating a complex or non-linear relationship between the variables.
The presence of a cluster in a scatterplot can indicate a relationship or pattern between the variables being plotted. It suggests that as one variable changes, the other variable tends to change in a systematic way. By analyzing clusters, you can gain insights into the nature and strength of the relationship between the variables.