Math Problem Statement
Here is the equation of an approximate best fit line for this data: y = 10x − 60. We'll use the best fit line, or linear model, to analyze the data and make a prediction. Start by using the two labeled points on the line or the structure of the equation to find the slope of the best fit line.
Solution
To find the slope of the best fit line given the equation:
This equation is already in slope-intercept form, which is written as:
Where:
- is the slope of the line,
- is the y-intercept.
In this case, comparing the given equation with the slope-intercept form, we can see that:
- The slope ,
- The y-intercept .
Thus, the slope of the best fit line is 10.
Would you like more details about how the slope works or how to use it for predictions?
Related questions:
- What does the slope of a line represent in a real-world context?
- How do you interpret the y-intercept of a linear model?
- How can you use the slope to predict the value of for a given ?
- How can you calculate the slope between two points if you have them?
- What does a slope of 10 imply about the relationship between and ?
Tip: The slope of a line is the ratio of the vertical change to the horizontal change between any two points on the line.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope
Slope-Intercept Form
Linear Models
Formulas
y = mx + b
Theorems
Slope formula
Slope-Intercept form of a linear equation
Suitable Grade Level
Grades 7-9