Recall & Review
beginner
What is linear regression?
Linear regression is a simple method to find the straight line that best fits a set of points. It helps predict one value from another by drawing a line through data.
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beginner
What does the equation y = mx + b represent in linear regression?
It represents the line where y is the predicted value, m is the slope (how steep the line is), x is the input, and b is the point where the line crosses the y-axis (intercept).
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intermediate
Why do we minimize the sum of squared errors in linear regression?
We minimize the sum of squared errors to find the line that is closest to all points. Squaring errors makes sure all differences are positive and bigger mistakes count more.
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beginner
What is the role of the slope (m) in linear regression?
The slope shows how much y changes when x changes by one unit. A bigger slope means a steeper line and stronger relationship between x and y.
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beginner
How can linear regression be used in real life?
It can predict things like house prices based on size, or sales based on advertising. It helps make decisions by showing simple relationships between numbers.
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What does the 'b' in the linear regression equation y = mx + b represent?
Why do we square the errors in linear regression?
Which of these best describes linear regression?
If the slope (m) is zero, what does that mean?
Which real-life example can use linear regression?
Explain in your own words what linear regression does and how it finds the best line.
Describe the meaning of slope and intercept in the linear regression equation y = mx + b.