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Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot. It minimizes the distance between the line and all the points in the dataset.

Front

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

Back

The slope of a line of best fit can be calculated using the formula: slope (m) = (NΣxy - ΣxΣy) / (NΣx² - (Σx)²), where N is the number of data points.

Front

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

Back

The y-intercept represents the value of y when x is 0. It indicates where the line crosses the y-axis.

Front

What is the general form of the equation of a line?

Back

The general form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the purpose of finding a line of best fit in data analysis?

Back

The purpose of finding a line of best fit is to identify trends in data, make predictions, and understand the relationship between variables.

Front

What is the difference between positive and negative slope in a line of best fit?

Back

A positive slope indicates that as x increases, y also increases, while a negative slope indicates that as x increases, y decreases.

Front

What is the significance of the correlation coefficient in relation to the line of best fit?

Back

The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. Values close to 1 or -1 indicate a strong relationship, while values close to 0 indicate a weak relationship.

Front

How can outliers affect the line of best fit?

Back

Outliers can significantly affect the line of best fit by skewing the slope and y-intercept, leading to inaccurate predictions and interpretations.

Front

What is the method of least squares?

Back

The method of least squares is a statistical technique used to determine the line of best fit by minimizing the sum of the squares of the vertical distances of the points from the line.

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.