Line and Curve of Best Fit - plus Scatterplots!

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables. Each point represents an observation in the dataset.

Front

What does a positive relationship in a scatter plot indicate?

Back

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

Front

What does a negative relationship in a scatter plot indicate?

Back

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

Front

What does 'no relationship' mean in the context of scatter plots?

Back

'No relationship' means that there is no discernible pattern or correlation between the two variables.

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.

Front

What is quadratic regression?

Back

Quadratic regression is a type of regression analysis used to model the relationship between a dependent variable and an independent variable using a quadratic equation.

Front

What is the general form of a quadratic equation?

Back

Front

What does the coefficient 'a' in a quadratic equation indicate?

Back

The coefficient 'a' indicates the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens.

Front

How can you determine if a relationship is positive, negative, or non-existent from a scatter plot?

Back

By observing the trend of the points: if they rise together, it's positive; if one rises while the other falls, it's negative; if there's no clear trend, it's no relationship.