Beth has been recording her son's weight each year for the past 10 years, as shown in the table below:
Age (years)
Weight (pounds)
1
21
2
28
3
31
4
35
5
40
6
46
7
51
8
57
9
64
10
71
Using this table, draw a scatter plot on the graphing calculator DESMOS to determine if the statements below are true or false.
(3 points)
Truse
False
The data can be represented with a line of best u = 5x + 15
There is no correlation between the recorded age and weight
O
The data suggests a linear association between the recorded age and weight
As an AI language model, I am unable to directly interact with a graphing calculator or draw a scatter plot. However, I can provide you with the steps on how to create a scatter plot on DESMOS.
To create a scatter plot of the data, follow these steps:
1. Open DESMOS in a web browser.
2. Click on the "+" button in the top-left corner to create a new graph.
3. In the expression field, enter the x-values of the data in brackets [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] to represent the ages.
4. In the next expression field, enter the corresponding y-values of the data in brackets [21, 28, 31, 35, 40, 46, 51, 57, 64, 71] to represent the weights.
5. Press Enter or click the "+" button next to the expression field to plot the data as a scatter plot.
Now that you have the scatter plot, you can analyze it to determine if the given statements are true or false.
Statement 1: "The data can be represented with a line of best fit, y = 5x + 15."
- To check this statement, draw a line of best fit on the scatter plot.
- Click on the "+ Add Item" button on the left side of the graphing calculator.
- Choose "Line" from the drop-down menu. Enter the equation of the line, y = 5x + 15.
- Check if the line closely aligns with the plotted points. If it does, the statement is likely true. If not, it is false.
Statement 2: "There is no correlation between the recorded age and weight."
- To check this statement, visually analyze the scatter plot.
- Look for any pattern or trend in the plotted points. If there is a clear pattern or trend, the statement is false.
- If the points appear randomly scattered with no clear pattern, the statement is likely true.
Statement 3: "The data suggests a linear association between the recorded age and weight."
- To check this statement, visually analyze the scatter plot.
- Look for a general trend or direction in the plotted points.
- If the points roughly follow a straight line, the statement is likely true. If not, it is false.
Overall, by analyzing the scatter plot, you can determine the accuracy of each statement.