Scatter Plots and Line of Best Fit

What is a scatter plot?

• A type of chart that displays data in a circular format.

• A graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional grid.

• A diagram that represents data using bars of different heights.

• A visual representation of data using lines to connect points.

How can you visually assess the strength of a correlation in a scatter plot?

• By counting the number of data points

• By observing how closely the data points cluster around the line of best fit.

• By measuring the distance between the points

• By calculating the mean of the data points

What is the first step in creating a scatter plot?

• Collect and organize the data points for the two variables you want to compare.

• Choose the type of scatter plot you want to create.

• Select the colors for the data points.

• Determine the scale for the axes.

What does the line of best fit represent in a scatter plot?

• It shows the exact values of the data points.

• It represents the average of all data points.

• It indicates the general direction of the relationship between the variables.

• It connects all the data points in the scatter plot.

How do you find the equation of the line of best fit using two points?

• Calculate the slope using the two points and then use one of the points to solve for the y-intercept.

• Draw a line through the two points and extend it in both directions.

• Use the average of the x-coordinates and y-coordinates to find the midpoint.

• Select the point that is closest to the origin as the line of best fit.

What is the purpose of using a line of best fit?

• To make predictions about one variable based on the value of another variable.

• To calculate the average of a data set.

• To identify outliers in the data.

• To determine the mode of a data set.

What does a strong negative correlation indicate in a scatter plot?

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

• A strong negative correlation indicates that both variables increase together.

• A strong negative correlation indicates that both variables decrease together.

• A strong negative correlation indicates that there is no relationship between the variables.

What is the significance of outliers in a scatter plot?

• Outliers are data points that differ significantly from other observations; they can affect the slope and position of the line of best fit.

• Outliers are always removed from the dataset to ensure accuracy.

• Outliers indicate the presence of errors in data collection.

• Outliers have no impact on the analysis of the scatter plot.

How do you determine the slope of a line given two points (x1, y1) and (x2, y2)?

• m = (y2 - y1) / (x2 - x1)

• m = (x2 - x1) / (y2 - y1)

• m = (y1 + y2) / (x1 + x2)

• m = (y1 - y2) / (x2 - x1)

What is the difference between a weak correlation and a strong correlation?

• A weak correlation means the data points are closely following a trend, while a strong correlation means the data points are spread out.

• A weak correlation means the data points are spread out and do not closely follow a trend, while a strong correlation means the data points closely follow a trend.

• A weak correlation indicates a perfect linear relationship, while a strong correlation indicates no relationship at all.

• A weak correlation suggests that the data points are perfectly aligned, while a strong correlation suggests a random distribution.