4C

Time series and bivariate data

Time-series graphs, trend and seasonal patterns, bivariate data, explanatory and response variables, scatter plots and describing correlation by direction, form and strength.

Time series

A time series is data recorded over time, graphed with time on the horizontal axis. Look for a trend (overall rise or fall) and seasonal patterns that repeat.

Bivariate data

Bivariate data has two variables per item. The explanatory (independent) variable goes on the $x$-axis; the response (dependent) variable on the $y$-axis.

Example 1●●

Hours of study and test score have points rising tightly from left to right. Describe the relationship.

A strong, positive, linear correlation: more study tends to go with higher scores.
Flashcards
Explanatory variable axis
$x$-axis
Points falling left to right
Negative correlation
Correlation implies causation?
No
Practice
  1. Hours of study vs test score (points rise tightly). Describe it.

  2. Car age vs resale value usually shows:

  3. Shoe size vs maths score shows:

  4. In "temperature vs ice-cream sales", the explanatory variable is:

  5. Electricity use is high every winter and low every summer. This is:

  6. Ice-cream sales and sunburn cases are strongly correlated. This means:

  7. Points scattered widely but trending slightly upward show:

  8. On a time-series graph, time goes on the:

More questions

New numbers every time. Keep going until you get five in a row.

Formula sheet