Trend Lines and Scatter Plots

What does a positive correlation indicate in a scatter plot?

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

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

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

• A positive correlation indicates that both variables remain constant regardless of each other.

What does it mean if a scatter plot has a strong correlation?

• A strong correlation means that the data points are closely clustered around the trend line, indicating a strong relationship between the variables.

• A strong correlation indicates that the data points are randomly scattered with no discernible pattern.

• A strong correlation suggests that the variables are independent of each other.

• A strong correlation means that the data points are evenly distributed across the plot.

What is a trend line?

• A trend line is a straight line that best represents the data on a scatter plot, showing the general direction of the data points.

• A trend line is a curved line that connects all the data points in a scatter plot.

• A trend line is a line that indicates the average value of the data points in a scatter plot.

• A trend line is a line that shows the maximum value of the data points in a scatter plot.

How can you use a trend line to make predictions?

• By estimating the value of one variable based on the value of another variable by finding the corresponding point on the line.

• By calculating the average of all data points without considering their relationship.

• By randomly selecting points on the graph and making guesses about their values.

• By drawing a line that connects all data points without any specific method.

What is the difference between a positive and negative correlation?

• In a positive correlation, both variables increase together, while in a negative correlation, one variable increases as the other decreases.

• In a positive correlation, one variable increases while the other decreases, and in a negative correlation, both variables increase together.

• Positive correlation indicates no relationship between variables, while negative correlation indicates a strong relationship.

• In a positive correlation, both variables remain constant, while in a negative correlation, one variable fluctuates.

What is a scatter plot?

• A type of bar graph that displays data in rectangular bars.

• A graph that shows the relationship between two data sets by displaying points for each pair of values.

• A circular chart divided into sectors that represent proportions.

• A line graph that connects individual data points to show trends over time.

What is interpolation in the context of trend lines?

• Interpolation is the process of estimating a value within the range of known data points using the trend line.

• Interpolation is the method of predicting future data points based on past trends.

• Interpolation refers to the calculation of the average of known data points.

• Interpolation is the technique of removing outliers from a dataset.

How do you determine the slope of a trend line?

• By calculating the average of the y-values

• By finding the difference between the x-values

• By dividing the change in the y-values by the change in the x-values between two points on the line

• By measuring the angle of the trend line with the horizontal axis

Why is it important to analyze scatter plots?

• To understand the relationship between variables, identify trends, and make predictions based on data.

• To create artistic representations of data without any analytical purpose.

• To solely focus on the outliers in the data set.

• To eliminate the need for statistical analysis in research.

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

• If the data points form a perfect circle.

• If the data points roughly form a straight line.

• If the data points are randomly scattered.

• If the data points form a zigzag pattern.