Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
To determine what the slope of the model represents, let's analyze the given data and its relationship between the independent and dependent variables.
Given:
- Independent variable (x-axis): Number of portions of fried shrimp.
- Dependent variable (y-axis): Number of grams of fat.
The data provided in the table:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Number of portions} & 5 & 3 & 8 & 6 & 1 & 4 \\ \hline \text{Number of grams of fat} & 45 & 27 & 72 & 54 & 9 & 36 \\ \hline \end{array} \][/tex]
In scatter plots that model a relationship between two variables, the slope of the line of best fit describes how the dependent variable changes with respect to the independent variable. Specifically, the slope ([tex]\( m \)[/tex]) represents the rate of change of the number of grams of fat per portion of fried shrimp.
This means for each additional portion of fried shrimp, the change in the number of grams of fat is constant.
Given the nature of the data: as the number of portions increases, the number of grams of fat increases proportionally. The value of the slope here would indicate how many grams of fat are contained in each portion of fried shrimp.
Thus, the slope of the model represents the number of grams of fat in each portion of fried shrimp.
Therefore, the correct answer is:
- The number of grams of fat in each portion of fried shrimp.
Given:
- Independent variable (x-axis): Number of portions of fried shrimp.
- Dependent variable (y-axis): Number of grams of fat.
The data provided in the table:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Number of portions} & 5 & 3 & 8 & 6 & 1 & 4 \\ \hline \text{Number of grams of fat} & 45 & 27 & 72 & 54 & 9 & 36 \\ \hline \end{array} \][/tex]
In scatter plots that model a relationship between two variables, the slope of the line of best fit describes how the dependent variable changes with respect to the independent variable. Specifically, the slope ([tex]\( m \)[/tex]) represents the rate of change of the number of grams of fat per portion of fried shrimp.
This means for each additional portion of fried shrimp, the change in the number of grams of fat is constant.
Given the nature of the data: as the number of portions increases, the number of grams of fat increases proportionally. The value of the slope here would indicate how many grams of fat are contained in each portion of fried shrimp.
Thus, the slope of the model represents the number of grams of fat in each portion of fried shrimp.
Therefore, the correct answer is:
- The number of grams of fat in each portion of fried shrimp.
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.