Understanding Relationships in Data

This lesson covers data analysis in various contexts, including the relationship between a dog's stride length and speed, the association between animal brain and body weight, and the comparison of height and arm span. It also includes an analysis of book prices and sales data. The lesson emphasizes the use of scatter plots, identifying outliers, and understanding associations between variables.

What does a rate of change of 4 indicate in the context of a dog's stride length and speed?

• For every meter increase in stride length, speed decreases by 4 m/s.

• For every meter increase in stride length, speed increases by 4 m/s.

• For every meter increase in stride length, speed remains constant.

• For every meter increase in stride length, speed increases by 2 m/s.

What is the relationship between body weight and brain weight in animals according to the scatter plot?

• There is no association.

• The association is random.

• There is a negative association.

• There is a positive association.

What does a slope of about 1 in the animal body and brain weight scatter plot indicate?

• For every 1 kg increase in body weight, brain weight increases by 2 g.

• For every 1 kg increase in body weight, brain weight decreases by 1 g.

• For every 1 kg increase in body weight, brain weight increases by 1 g.

• For every 1 kg increase in body weight, brain weight remains the same.

In the height and arm span activity, what does a line of fit close to Y = X suggest?

• Height is always greater than arm span.

• Arm span is always greater than height.

• Height and arm span are approximately equal.

• There is no relationship between height and arm span.

What is the significance of finding the largest ratio between arm span and height?

• It identifies the person closest to the line of fit.

• It identifies the person furthest from the line of fit.

• It shows the average ratio in the class.

• It determines the tallest person in the class.

What is the primary purpose of collecting data in two variables?

• To find associations and make predictions.

• To show that variables are unrelated.

• To confuse students with complex data.

• To prove that all data is random.

In the book price and sales activity, what does a negative association indicate?

• As price increases, sales increase.

• As price increases, sales decrease.

• Price and sales are unrelated.

• Sales remain constant regardless of price.

Why is it important to identify outliers in a scatter plot?

• Outliers are the most important data points.

• Outliers can skew the results and affect the line of fit.

• Outliers are always incorrect data points.

• Outliers help in making the data look better.

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

• The average trend of the data.

• The lowest values in the data set.

• The exact values of all data points.

• The highest values in the data set.

How can you maximize sales according to the book price and sales activity?

• Keep the price constant to increase sales.

• Increase the price to increase sales.

• Decrease the price to increase sales.

• Sales are not affected by price changes.