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.
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
1 answer
3 answers