Interpreting Rate of Change: Calculating Slope

The video tutorial explains how to calculate the slope of a line of best fit, emphasizing the importance of understanding the scale of axes in bivariate data. It covers the concept of slope as the rate of change, rise over run, and its interpretation in real-world scenarios. The tutorial includes examples using scatter plots and real data to illustrate slope calculation and interpretation, such as the relationship between study time and points earned, and temperature changes affecting gas bills.

What is the slope of a line if the change in Y is 3 and the change in X is 5?

• 5.3

• 0.6

• 1.5

• 3.5

In a scatter plot, if the change in Y is -1 and the change in X is 4, what is the slope?

• -4

• -0.25

• 4

• 0.25

If the change in X is 15 minutes and the change in Y is 20 points, what is the simplified slope?

• 1.5 points per minute

• 1.33 points per minute

• 0.75 points per minute

• 2 points per minute

What does a slope of -0.9 dollars per degree indicate in terms of a gas bill?

• The bill increases by $0.90 for every degree increase.

• The bill increases by $0.90 for every degree decrease.

• The bill remains constant regardless of temperature change.

• The bill decreases by $0.90 for every degree increase.

How can the slope be interpreted in the context of studying time and points earned?

• You earn 1.33 points for every minute you study.

• You earn 4 points for every 3 minutes you study.

• You lose 1.33 points for every minute you study.

• You earn 3 points for every 4 minutes you study.