Find the equation of a regression line

Learning Objectives Plot data points with rational coordinates on a coordinate plane. Visually identify a general linear trend in a scatter plot. Draw a visual 'line of best fit' (also called a regression line) for a given set of data points. Identify points with rational coordinates that lie on a visually drawn line of best fit. Determine a simple algebraic equation (e.g., y = x + c or y = cx) that describes the relationship between x and y for points on a visually drawn line, using rational numbers. Explain what a line of best fit represents in a real-world context. Have you ever wondered if there's a pattern in how much a plant grows each week? 🌱 Or how many cookies you can bake with a certain amount of flour? 🤔 In this lesson, we'll learn how to fi...

TermDefinitionExample Data PointsPairs of numbers (like x and y) that represent information we collect. For example, (time, height) or (cups of flour, number of cookies).If a plant grew 0.5 inches in 1 week, the data point is (1, 0.5). Coordinate PlaneA grid with an x-axis (horizontal) and a y-axis (vertical) where we can plot data points.Plotting the point (2, 1.5) means going 2 units right on the x-axis and 1.5 units up on the y-axis. Scatter PlotA graph made by plotting many data points on a coordinate plane. It helps us see if there's a relationship between the numbers.A scatter plot showing plant height for different weeks might look like dots generally going upwards. TrendThe general direction or pattern that the data points seem to follow on a scatter plot. It can be going up,...

Rule for Plotting Data Points To plot a data point (x, y), start at the origin (0,0). Move 'x' units horizontally (right for positive, left for negative) and then 'y' units vertically (up for positive, down for negative). This rule helps you accurately place each piece of your data onto the coordinate plane to create a scatter plot. Rule for Drawing a Visual Line of Best Fit After plotting all data points, use a ruler to draw a straight line that passes through the 'middle' of the points. Try to have roughly the same number of points above and below the line, and make sure it follows the general trend. This line, also called a regression line, helps you see the overall pattern in your data, even if not all points are exactly on the line. Rul...