Finding the Line of Best Fit (Exploration: Collecting and Analyzing Data)
Find the line of best fit in Grade 10 statistics. Collect data, plot scatter plots, calculate linear regression, and interpret slope and y-intercept in real-world data contexts.
Key Concepts
New Concept A line that best fits the points in a scatter plot is a line of best fit .
What’s next Next, you'll learn to plot data, sketch a line of best fit, and write its equation to make predictions.
Common Questions
What is a line of best fit?
A line of best fit (regression line) is the straight line that best represents the trend in a scatter plot. It minimizes the total distance between the line and all data points.
How do you find the line of best fit on a graphing calculator?
Enter data into L1 and L2, run LinReg from the STAT CALC menu. The calculator outputs y = ax + b with slope a and y-intercept b. Store it in Y1 to graph alongside data.
How do you interpret the slope and y-intercept of a regression line?
The slope describes the rate of change: how much y changes for each unit increase in x. The y-intercept is the predicted value of y when x = 0, though this may not always be meaningful in context.