Which two points should a line of best fit pass …

Mathematics Questions

Which two points should a line of best fit pass through to best represent the scatter plot with the following points: (1, 5), (1, 8), (2, 4), (3, 5), (3, 6), (5, 6), (6, 4), (7, 2), (9, 1), and (10, 1)? Options: (6, 4) and (9, 1) (3, 5) and (10, 1) (1, 8) and (10, 1) (1, 5) and (7, 3)

Short Answer

A scatter plot visually represents the relationship between two variables using individual data points. By identifying key points, such as (1, 8) and (10, 1), a trend line can be drawn, revealing a negative relationship where one variable increases as the other decreases.

Step-by-Step Solution

Step 1: Understand a Scatter Plot

A scatter plot is a graphical representation that showcases the relationship between two variables by plotting individual data points in a two-dimensional space. Each point on the plot corresponds to a pair of values from these variables. The overall pattern of the points can reveal trends, correlations, or variations in the data being analyzed.

Step 2: Identify the Best Fitting Points

To represent the trend of the data accurately, a line of fit, also known as a trend line, is drawn. For the given data points, the pair of coordinates (1, 8) and (10, 1) can be selected. This selection is beneficial because it encapsulates the overall spread of the data, covering the entire range from lowest to highest values effectively.

Step 3: Analyze the Trend Line

Once you have selected your points, you can draw the line of fit. In this case, the line will have a downward slope, indicating a negative relationship between the two variables. This trend suggests that as one variable increases, the other tends to decrease, which is a common trend visible in this set of data points.

Related Concepts

Scatter Plot

A graphical representation that shows the relationship between two variables by plotting individual data points in a two-dimensional space.

Line Of Fit

A line drawn on a scatter plot that represents the trend of the data by summarizing the relationship between the two variables.

Negative Relationship

A correlation between two variables where an increase in one variable results in a decrease in the other variable.

Scroll to Top