Slope and Line of Best Fit

The video tutorial explains how to draw and interpret scatterplots, focusing on identifying positive correlations. It guides viewers through approximating the line of best fit manually and using a calculator for precise results. The tutorial covers calculating the slope and determining the y-intercept to form the equation of the line of best fit.

What does a scatterplot with a trend going up to the right indicate?

• Constant correlation

• Negative correlation

• No correlation

• Positive correlation

When drawing a line of best fit, what should you avoid?

• Having the line pass through all points

• Drawing the line horizontally

• Using a curved line

• Having all data points above the line

What tool can help you draw a line of best fit on a large board?

• A yardstick

• A compass

• A pencil

• A protractor

Which two points were identified on the line of best fit?

• (2, 4) and (6, 8)

• (1, -3) and (7, 5)

• (3, 1) and (9, 7)

• (0, 0) and (5, 5)

How is the slope of a line calculated?

• x1 + x2 over y1 + y2

• y1 - y2 over x1 - x2

• y2 - y1 over x2 - x1

• x2 - x1 over y2 - y1

What is the slope of the line calculated in the video?

• 5/3

• 2/3

• 4/3

• 3/4

What is the general form of the slope-intercept equation?

• x = by + m

• y = b + mx

• x = my + b

• y = mx + b

What is the y-intercept value calculated in the video?

• -4

• -13/3

• -9/3

• -5

How do you combine fractions with different denominators?

• Find a common denominator

• Multiply the denominators

• Subtract the numerators

• Add the numerators directly

What is the final equation of the line of best fit?

• y = 3/4x - 13/3

• y = 5/3x - 9/3

• y = 4/3x - 13/3

• y = 2/3x - 4