Question 1

Which of the following best describes a time-series graph?

Accepted Answer

A graph that displays data points as coordinate pairs $$(x, y)$$, where $$x is $$time and $$y is $$the measured value, with points connected to show trends over time.

Question 2

In the example of average daily ice cream sales per month, during which months did the sales increase?

Accepted Answer

From January to July

Question 3

Given a time-series graph of gas prices in USD over 12 months, which months show a consistent increase in gas prices?

Accepted Answer

January to May, July to August, September to December

Question 4

If a time-series graph shows a sharp decline in values after a peak, what does this indicate about the data?

Accepted Answer

There is a rapid decrease in the measured value after reaching its maximum.

Question 5

Suppose the number of rabbits in Pet Store A increases for the first 4 months, then decreases for the next 3 months, and finally increases again. Which of the following best describes this trend?

Accepted Answer

The trend is increasing, then decreasing, then increasing.

Question 6

If the average daily ice cream sales per month are plotted on a time-series graph and the highest point is at July, what does this point represent?

Accepted Answer

The maximum average daily ice cream sales occurred in July.

Question 7

Given the following data for gas prices: $$2.90, 2.95, 3.00, 3.10, 3.05, 3.12$$ for January to June, which months show a decrease in price?

Accepted Answer

May (from April to May)

Question 8

If a time-series graph shows two lines representing two pet stores, and one line is consistently above the other, what does this indicate?

Accepted Answer

One pet store consistently has more of the measured item (e.g., rabbits) than the other.

Question 9

Which of the following is NOT a correct step in constructing a time-series graph?

Accepted Answer

Plotting the data points in random order.

Question 10

A time-series graph of ice cream sales shows a steady increase from January to July, followed by a steady decrease to December. What type of pattern does this represent?

Accepted Answer

A seasonal pattern

Question 11

If the time-series graph for gas prices shows the following values: $$2.90 in $$January, $$3.00 in $$February, $$3.10 in $$March, and $$3.05 in $$April, what is the average monthly change from January to April?

Accepted Answer

$$\frac{3.05 - 2.90}{3} = 0.05$$

Question 12

Which of the following statements about time-series graphs is FALSE?

Accepted Answer

They can only be used for categorical data.

Question 13

If a time-series graph shows a value of 10 in month 1, 12 in month 2, 15 in month 3, and 13 in month 4, what is the overall trend from month 1 to month 4?

Accepted Answer

Increasing, then decreasing

Question 14

In a time-series graph, what does the slope of the line between two points represent?

Accepted Answer

The rate of change of the measured value over time

Question 15

If the number of rabbits in Pet Store B is 8 in month 1, 10 in month 2, 12 in month 3, and 14 in month 4, what is the equation for the line representing this data?

Accepted Answer

$$y = 2x + 6$$

Question 16

A time-series graph shows the number of rabbits in two pet stores over 11 months. If Store A has a maximum of 15 rabbits in month 6 and Store B has a maximum of 13 rabbits in month 7, which store had the higher peak and in which month?

Accepted Answer

Store A in month 6

Time-Series Graphs: Exploring Data Over Time

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