Regression line (AQA GCSE Statistics): Flashcards
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What is a regression line used for in statistics?
What is a regression line used for in statistics?
It shows the general trend between two variables.
What is the standard equation of a regression line?
What is the standard equation of a regression line?
y = mx + c, where m is the gradient and c is the intercept.
How do you find y when x = 50 in y = 2x + 1?
How do you find y when x = 50 in y = 2x + 1?
y = 2(50) + 1 = 101.
What does the gradient (m) indicate in a regression line?
What does the gradient (m) indicate in a regression line?
It shows how much y changes for each unit increase in x.
If c = 4, where does the regression line cross the y-axis?
If c = 4, where does the regression line cross the y-axis?
It crosses at y = 4 when x = 0.
What does a negative gradient indicate?
What does a negative gradient indicate?
It indicates a negative correlation between variables.
What is the first step in creating a regression line?
What is the first step in creating a regression line?
Plot the data points on a scatter plot.
Why are predictions outside data range less reliable?
Why are predictions outside data range less reliable?
They may yield unrealistic or impossible results.
What does a y-intercept of -2 indicate in a graph?
What does a y-intercept of -2 indicate in a graph?
It means the line crosses the y-axis at -2.
What should you check for reliability of predictions?
What should you check for reliability of predictions?
Ensure points are close to the regression line.