Line of Best Fit

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot, showing the trend of the data points.

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How do you determine the slope of the line of best fit?

Back

The slope of the line of best fit can be determined by calculating the change in the y-values divided by the change in the x-values between two points on the line.

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What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the y-intercept in the line of best fit?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

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How can you visually assess the strength of a correlation?

Back

The strength of a correlation can be visually assessed by how closely the data points cluster around the line of best fit; tighter clustering indicates a stronger correlation.

Front

What does a weak correlation look like on a scatter plot?

Back

A weak correlation appears as a scattered distribution of points with no clear trend, indicating little to no relationship between the variables.

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What does a moderate correlation look like on a scatter plot?

Back

A moderate correlation shows a more defined trend, with points somewhat clustered around the line of best fit, indicating a moderate relationship between the variables.

Front

How do you calculate the correlation coefficient?

Back

The correlation coefficient (r) can be calculated using statistical formulas that measure the strength and direction of the linear relationship between two variables.