Scatter Plots & Lines of Fit

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two variables by displaying data points on a two-dimensional axis.

Front

What does a trend line represent in a scatter plot?

Back

A trend line is a straight line that best represents the data points in a scatter plot, indicating the general direction of the data.

Front

How can you use a trend line to make predictions?

Back

You can extend the trend line to estimate values for one variable based on known values of the other variable.

Front

What does a positive correlation indicate in a scatter plot?

Back

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

Front

What does a negative correlation indicate in a scatter plot?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What does it mean if there is no correlation between two variables?

Back

No correlation means that there is no predictable relationship between the two variables; changes in one do not affect the other.

Front

How do you determine the number of chapters in a book using a scatter plot?

Back

You can find the corresponding value on the trend line for the total number of pages to predict the number of chapters.

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.

Front

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

Back

The y-intercept is the value of y when x is zero; it represents the starting point of the line on the y-axis.

Front

How can you identify a positive relationship in a scatter plot?

Back

A positive relationship is identified when the data points trend upwards from left to right.