Bivariate Data
Clue: A scatterplot shows points going up from left to right.
Response: What is a positive correlation?
Clue: This component of a time series is the long-term upward or downward movement.
Response: What is the trend?
Clue: A sequence where the difference between consecutive terms is constant is called this.
Response: What is an arithmetic sequence?
Clue: These two lines measure distance north or south of the Equator.
Response: What are lines of latitude?
Clue: In a regression equation y=a+bx, the value of b represents this.
Response: What is the slope (rate of change)?
Clue: On a scatterplot, one variable is placed on the horizontal axis.
Response: What is the independent variable?
Clue: A 3-point moving average is used to identify this in data.
Response: What is smoothing the trend?
Clue: A geometric sequence with common ratio 0.5 will do this over time.
Response: What is decay (halving each time)?
Clue: The shortest path between two points on Earth lies along this type of circle.
Response: What is a great circle?
Clue: The International Date Line is located near this degree of longitude.
Response: What is 180°?
Clue: The correlation coefficient (r) is −0.95. What does this mean about the relationship?
Response: What is a strong negative linear relationship?
Clue: Seasonal patterns repeat regularly, often every ___ months.
Response: What is 12 months (or 1 year)?
Clue: The future value of $1,000 invested at 5% p.a. for 1 year is calculated with this formula.
Response: What is FV = P(1+r)^n
Clue: The longitude at Greenwich, England, is also known as this.
Response: What is the Prime Meridian (0° longitude)?
Clue: A correlation coefficient of 0 means this.
Response: What is no linear relationship?
Clue: Predicting values within the range of collected data is called this.
Response: What is interpolation?
Clue: To remove seasonal effects from data, we do this process.
Response: What is deseasonalising the data?
The formula A = P(1-r)^n is used for this real-life context
Response: What is depreciation?
Clue: If it is 2 pm in Brisbane (AEST, UTC +10), what time is it in Perth (WST, UTC +8)?
Response: What is 12 pm (noon)?
Clue: If a car depreciates by 15% per year, its value after 2 years is found using this formula.
Response: What is V = P(1-0.15)^2
Clue: This is the main reason we must be cautious when claiming that two correlated variables influence each other.
Response: What is correlation does not imply causation?
Clue: This mathematical model best represents growth and decay in population and depreciation problems.
Response: What is an exponential model?
Clue: Compound interest differs from simple interest because of this.
Response: What is interest earned on both the principal and the accumulated interest?
A plane leaves Sydney at 10:00 am (AEST, UTC+10) for Los Angeles (UTC−8), taking 13 hours. What is the local arrival time in Los Angeles?
Response: What is 5am same day?
Clue: This term describes the misleading use of regression equations outside the observed data range.
Response: What is extrapolation?