A Man Is Running Around a Circular Track That Is

question 3

Short Answer

A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner's time at the end of each lap, obtaining the data in the following table.
What was the man's average speed (rate) between 68 s and 203 s? Round the answer to two decimal places.
$$\begin{array} { | c | c | } \hline \text { Time (s) } & \begin{array} { c } \text { Distance } \\( \mathrm { m } )\end{array} \\\hline 32 & 200 \\\hline 68 & 400 \\\hline 108 & 600 \\\hline 152 & 800 \\\hline 203 & 1000 \\\hline 263 & 1200 \\\hline 335 & 1400 \\\hline 412 & 1600 \\\hline\end{array}$$

---

Definitions:

F Distribution

A probability distribution that arises in the testing of whether two population variances are equal and in the analysis of variance (ANOVA) for comparing means among more than two groups.

Coefficient of Multiple Determination

A statistic that quantifies the proportion of variance in the dependent variable that is predictable from the independent variables, commonly used in multiple regression analysis.

Regression Equation

An equation derived in regression analysis that represents the expected value of the dependent variable as a function of one or more independent variables.

Variation

Variation refers to the distribution of data points or values within a dataset, indicating how much the data differ from each other.