Making Predictions with Lines of Fit
Making predictions with lines of fit is a Grade 7 algebra and statistics skill in Big Ideas Math Advanced 2, Chapter 9: Data Analysis and Displays. Once a line of fit is established as an equation, predictions are made by substituting any input value and solving for the output. For example, if coffee sales follow C equals negative 2.5T plus 52, predicting sales at 9 degrees Celsius gives 29.5 cups.
Key Concepts
A line of fit can be used to make predictions by substituting values into the equation and solving for the unknown variable.
Common Questions
How do you use a line of fit to make predictions?
Substitute the desired input value into the line of fit equation and calculate the output. For example, if the equation is y equals 1.2x plus 8, substitute x equals 5 to get y equals 14.
What is a line of fit in Grade 7 math?
A line of fit (also called a best fit line or trend line) is a straight line drawn through a scatter plot that best represents the pattern of the data, used to make predictions.
How accurate are predictions made from lines of fit?
The accuracy depends on how well the line fits the original data. Predictions within the data range (interpolation) are generally more reliable than predictions outside the range (extrapolation).
What textbook covers predictions with lines of fit in Grade 7?
Big Ideas Math Advanced 2, Chapter 9: Data Analysis and Displays covers lines of fit and how to use them to make predictions.