Understanding Scatter Plots and Trends

The video tutorial explains how to draw trend lines through scatter plots and use them to make predictions. It covers positive and negative associations, creating equations from trend lines, and using these equations for predictions. Examples include running data, book chapters, and a cell phone plan. The tutorial emphasizes understanding slope and y-intercept in the context of trend lines.

What does a positive association in a scatter plot indicate?

• As one variable increases, the other also increases.

• As one variable increases, the other decreases.

• There is no discernible pattern between the variables.

• The variables are unrelated.

When drawing a trendline through running data, what assumption is made about running zero miles?

• It takes a fixed amount of time.

• It takes no time.

• It takes the average time of all runs.

• It takes the maximum time recorded.

How is the slope of a trendline determined in a scatter plot?

• By finding the average of all data points.

• By calculating the rise over run between two points on the line.

• By counting the number of data points above the line.

• By measuring the distance between the first and last data points.

In the pages and chapters example, what does the slope of 10 represent?

• 10 chapters in total.

• 10 chapters per page.

• 10 pages per chapter.

• 10 pages in total.

What is the y-intercept in the kilometers and hours example?

• 120 kilometers

• 170 kilometers

• 50 kilometers

• 0 kilometers

What does a negative slope indicate in the kilometers and hours example?

• The distance is unrelated to time.

• The distance increases over time.

• The time remains constant.

• The distance decreases over time.

In the cell phone plan analysis, what is identified as an outlier?

• A data point that is exactly on the trendline.

• A data point that is the average of all others.

• A data point that is far from the trendline.

• A data point that fits the pattern.

What is the initial value in the cell phone plan example?

• $10

• $15

• $20

• $25

How does the cost change with every 200 minutes added in the cell phone plan example?

• The cost decreases by $5.

• The cost increases by $5.

• The cost remains the same.

• The cost increases by $10.

What does the equation y = 1/40x + 15 represent in the cell phone plan example?

• For every 40 minutes, the cost increases by $1.

• For every 40 minutes, the cost decreases by $1.

• For every 40 minutes, the cost increases by $5.

• For every 40 minutes, the cost remains the same.