scatter plots and trend lines

What does a negative slope indicate in a scatter plot?

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

• A negative slope indicates that both variables increase together.

• A negative slope indicates that both variables decrease together.

• A negative slope indicates that one variable is constant while the other varies.

What are some common uses of scatter plots?

• To analyze relationships between variables, identify trends, and make predictions based on data.

• To create bar graphs and pie charts for data representation.

• To calculate the mean and median of a dataset.

• To perform hypothesis testing and determine statistical significance.

What is the purpose of a trend line in data analysis?

• To summarize the relationship between variables, making it easier to identify patterns and make predictions.

• To display all data points without any interpretation.

• To eliminate outliers from the data set.

• To provide a visual representation of the data without any analysis.

What is a scatter plot?

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

• A type of chart that represents categorical data with bars.

• A diagram that shows the frequency of data points in a dataset.

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

What is a negative association in a scatter plot?

• A positive correlation between two variables.

• As one variable increases, the other variable also increases.

• As one variable increases, the other variable decreases.

• There is no relationship between the two variables.

How can you identify the type of association from a scatter plot?

• By observing the color of the data points

• By analyzing the size of the data points

• By observing the direction of the data points: upward for positive, downward for negative, or scattered for no association.

• By counting the number of data points in the plot

What does it mean if a scatter plot has a negative linear association?

• It means that as one variable increases, the other variable decreases in a consistent manner, forming a straight line with a negative slope.

• It indicates that both variables increase together in a consistent manner, forming a straight line with a positive slope.

• It shows that there is no relationship between the two variables, resulting in a random scatter of points.

• It suggests that as one variable decreases, the other variable also decreases, forming a straight line with a zero slope.

What is a positive association in a scatter plot?

• A positive association means that as one variable increases, the other variable also increases.

• A positive association means that as one variable increases, the other variable decreases.

• A positive association indicates that there is no relationship between the variables.

• A positive association means that both variables remain constant regardless of changes.

How do you calculate the slope of a line?

• slope = change in y / change in x, also known as 'rise over run'.

• slope = change in x / change in y, also known as 'run over rise'.

• slope = y2 - y1 / x2 - x1, which is the same as 'rise over run'.

• slope = (y1 + y2) / (x1 + x2), which is a method to find average slope.

What does a trend line represent in a scatter plot?

• A trend line shows the exact values of the data points.

• A trend line represents the general direction or pattern of the data points in a scatter plot, helping to visualize the relationship between the variables.

• A trend line indicates the highest value in the scatter plot.

• A trend line is used to connect all the data points in the scatter plot.