Line of Best Fit Flashcard

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. In the context of a linear equation, it represents the value of y when x is 0.

Front

What type of association (correlation) does a graph with an upward trend have?

Back

Positive correlation: This indicates that as one variable increases, the other variable also increases.

Front

If a scatter plot shows no clear pattern, what type of correlation is present?

Back

No correlation: This means there is no relationship between the two variables.

Front

How can the strength of a correlation be visually assessed in a scatter plot?

Back

By the closeness of the data points to the line of best fit: The closer the points are to the line, the stronger the correlation.

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, summarizing the relationship between the variables.

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for typically two variables for a set of data, showing how much one variable is affected by another.

Front

What does a negative correlation indicate?

Back

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

Front

What is the purpose of the line of best fit?

Back

The purpose of the line of best fit is to provide a visual representation of the relationship between two variables, helping to predict future values.

Front

What does it mean if the line of best fit goes through the origin?

Back

If the line of best fit goes through the origin, it indicates that when one variable is zero, the other variable is also zero.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.