Scatterplot Predictions

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional plane.

Front

What does a negative slope indicate in a scatterplot?

Back

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

Front

What is the purpose of a trend line in a scatterplot?

Back

A trend line is used to represent the general direction of the data points and to make predictions about future values.

Front

How do you determine the slope of a trend line?

Back

The slope of a trend line is determined by the formula: slope (m) = rise/run, which represents the change in the y-values divided by the change in the x-values.

Front

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

Back

The y-intercept represents the value of y when x is equal to zero, indicating where the line crosses the y-axis.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What does it mean for a line to be an accurate line of best fit?

Back

A line of best fit accurately represents the trend of the data points, minimizing the distance between the line and the points.

Front

If the slope of a line is -3/4, what does this indicate about the relationship between the variables?

Back

A slope of -3/4 indicates that for every 4 units increase in the x-variable, the y-variable decreases by 3 units.

Front

What is the significance of the correlation coefficient in scatterplots?

Back

The correlation coefficient measures the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Front

How can you identify a strong negative correlation in a scatterplot?

Back

A strong negative correlation is identified when the data points closely follow a downward trend line.