Line of Best Fit Flashcard

Front

What is the definition of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How do you interpret a positive correlation in a scatterplot?

Back

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

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 scatterplot, showing the general direction of the data points.

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to estimate the value of one variable based on the value of another variable by finding the corresponding point on the line.

Front

What does it mean if a scatterplot shows no correlation?

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 formula for calculating the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = Δy/Δx).

Front

What is the significance of the slope in a linear relationship?

Back

The slope indicates the rate of change between the two variables; a steeper slope means a greater change in y for a given change in x.

Front

How do you determine the equation of a line from a scatterplot?

Back

You can determine the equation of a line by identifying the slope and y-intercept from the scatterplot and using the formula y = mx + b.

Front

What is the purpose of using a scatterplot in data analysis?

Back

A scatterplot visually represents the relationship between two quantitative variables, helping to identify patterns, trends, and correlations.

Front

How can outliers affect the line of best fit?

Back

Outliers can skew the line of best fit, potentially leading to inaccurate predictions and misinterpretation of the data.