To determine if the statements are true or false, we need to plot the data in a scatter plot and analyze the trend.
The given data is as follows:
Based on the scatter plot, we can observe a clear positive correlation between age and weight. As age increases, weight tends to increase as well. Therefore, we can conclude that the statement "The data suggests a linear association between the recorded age and weight" is true.
Next, let's check if the data can be represented with a line of best fit y=5x+15. From the scatter plot, it can be seen that a linear equation with a positive slope (represented by a straight line) does not accurately fit the data points. Therefore, the statement "The data can be represented with a line of best fit y=5x+15" is false.
Lastly, since there is a clear positive correlation between age and weight, we can conclude that there is a correlation between the recorded age and weight. Therefore, the statement "There is no correlation between the recorded age and weight" is false.
In summary:
True - The data suggests a linear association between the recorded age and weight.
False - The data can be represented with a line of best fit y=5x+15.
False - There is no correlation between the recorded age and weight.
Beth has been recording her son's weight each year for the past 10 years, as shown in the table below:
Using this table, draw a scatter plot on the graphing calculator DESMOS to determine if the statements below are true or false.
True False
The data suggests a linear association between the recorded age and weight.
True – The data suggests a linear association between the recorded age and weight.
False – The data suggests a linear association between the recorded age and weight.
The data can be represented with a line of best fit y=5x+15
True – The data can be represented with a line of best fit y is equal to 5 x plus 15
False – The data can be represented with a line of best fit y is equal to 5 x plus 15
There is no correlation between the recorded age and weight.
True – There is no correlation between the recorded age and weight.
False – There is no correlation between the recorded age and weight.
1 answer