Final answer:
Local response rate or Cumulative Record rate is the sum of all previous relative frequencies in a dataset, added progressively to represent cumulative frequency at each data point. It gives insights into proportions and percentages within the data, which can be visualized using a cumulative frequency graph.
Step-by-step explanation:
Local response rate, also known as a Cumulative Record rate, in the context of statistics, refers to the ongoing addition of relative frequencies to arrive at a cumulative total. The process involves beginning with the initial relative frequency and adding each subsequent relative frequency as one progresses through the dataset. As illustrated in Table 1.14, to calculate the cumulative relative frequencies, simply sum up all preceding relative frequencies along with the relative frequency for the current entry. This results in a cumulative relative frequency for each data point.
To clarify, if a dataset consists of frequency counts for certain categories, the relative frequency for each is the count divided by the total count for all categories. Cumulative relative frequency is then determined by adding the relative frequencies from the top of the data table to the bottom, cumulatively. Each entry in the cumulative frequency column thus represents the sum of its own relative frequency and all those above it.
This method is particularly useful for determining proportions and percentages within a data set and is often visualized with a cumulative frequency graph.