Test on Scatter Plots, Lines and Curves of Best 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 the line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend in the data, showing the general direction that the data points follow.

Front

How do you determine the slope of a line in the equation y = mx + b?

Back

The slope (m) indicates the rate of change of y with respect to x; a positive slope means y increases as x increases, while a negative slope means y decreases as x increases.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0; it represents where the line crosses the y-axis.

Front

How can you predict a value using a line of best fit?

Back

You can predict a value by substituting the x-value into the equation of the line of best fit to find the corresponding y-value.

Front

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

Back

The purpose is to summarize the relationship between variables and make predictions based on the trend observed in the data.

Front

What does a positive correlation in a scatter plot indicate?

Back

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

Front

What does a negative correlation in a scatter plot indicate?

Back

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

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is an outlier in a scatter plot?

Back

An outlier is a data point that significantly deviates from the other points in the scatter plot, potentially affecting the line of best fit.