Scatter plots and line of best fit

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables where each point represents an observation. It helps to visualize the relationship between the variables.

Front

What does the line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend of the data points in a scatter plot, showing the overall direction of the relationship between the two variables.

Front

How can you determine the correlation from a scatter plot?

Back

Correlation can be determined by observing the direction and strength of the relationship between the data points. A positive correlation slopes upwards, a negative correlation slopes downwards, and no correlation shows no discernible pattern.

Front

What is a strong positive correlation?

Back

A strong positive correlation indicates that as one variable increases, the other variable also increases significantly, and the points on the scatter plot are closely clustered around the line of best fit.

Front

What is no correlation?

Back

No correlation means there is no apparent relationship between the two variables, and the points on the scatter plot are scattered randomly.

Front

What is the formula for a line of best fit?

Back

The formula for a line of best fit is typically expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line of best fit?

Back

The slope of a line of best fit can be calculated by selecting two points on the line and using the formula (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate in a scatter plot?

Back

A negative slope indicates that as one variable increases, the other variable decreases, suggesting a negative correlation.

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.

Front

How can you visually assess the strength of a correlation in a scatter plot?

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.