Line of best fit - scatter plots

Front

What is a line of best fit?

Back

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

Front

How do you determine the equation of a line of best fit?

Back

You can determine the equation of a line of best fit by using statistical methods such as linear regression or by visually estimating the line that best represents the data.

Front

What does a positive correlation indicate in a scatter plot?

Back

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

Front

What does a negative correlation indicate in a scatter plot?

Back

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

Front

What does it mean if there is no correlation in a scatter plot?

Back

No correlation means that there is no apparent relationship between the two variables; changes in one variable do not predict changes in the other.

Front

What is the significance of the slope in the equation of a line of best fit?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable; a steeper slope means a stronger relationship.

Front

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

Back

The y-intercept is the value of the dependent variable when the independent variable is zero; it represents where the line crosses the y-axis.

Front

How can you visually assess the accuracy of a line of best fit?

Back

You can visually assess the accuracy by checking how closely the data points cluster around the line; a good fit will have points evenly distributed around the line.

Front

What is the formula for the line of best fit in slope-intercept form?

Back

The formula is y = mx + b, where m is the slope and b is the y-intercept.

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What does it mean if a line of best fit does not pass through the origin?

Back

If the line of best fit does not pass through the origin, it indicates that the relationship between the variables does not start at zero.