Exit Ticket 5.2.2

Front

What does the equation of a line of fit represent in a scatterplot?

Back

The equation of a line of fit represents the relationship between two variables in a scatterplot, allowing for predictions based on the data.

Front

In the equation y = mx + b, what do 'm' and 'b' represent?

Back

'm' represents the slope of the line, indicating the rate of change, while 'b' represents the y-intercept, the value of y when x is 0.

Front

How do you interpret the slope of a line in a real-world context?

Back

The slope indicates how much the dependent variable (y) changes for each unit increase in the independent variable (x).

Front

What is a scatterplot?

Back

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

Front

What does the point (x, y) represent in a scatterplot?

Back

The point (x, y) represents a specific observation where 'x' is the value of the independent variable and 'y' is the value of the dependent variable.

Front

How can you estimate values using a line of fit?

Back

You can estimate values by substituting the known value of the independent variable (x) into the line of fit equation to find the corresponding dependent variable (y).

Front

What is the significance of the y-intercept in a linear model?

Back

The y-intercept indicates the expected value of the dependent variable when the independent variable is zero.

Front

What does a negative slope indicate in a real-world scenario?

Back

A negative slope indicates an inverse relationship, meaning as one variable increases, the other variable decreases.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the purpose of a linear model in data analysis?

Back

A linear model is used to describe the relationship between variables and to make predictions based on that relationship.