What do you mean by scatter diagrams? Draw a diagram to show perfect positive correlation between two variables.

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$$\begin{gathered} \mathrm{Scatter} \mathrm{plots} \mathrm{are} \mathrm{similar} \mathrm{to} \mathrm{line} \mathrm{graphs} \mathrm{in} \mathrm{that} \mathrm{they} \mathrm{use} \mathrm{horizontal} \mathrm{and} \mathrm{vertical} \mathrm{axes} \mathrm{to} \mathrm{plot} \mathrm{data} \mathrm{points}. \\ \mathrm{However}, \mathrm{they} \mathrm{have} \mathrm{a} \mathrm{very} \mathrm{specific} \mathrm{purpose}. \mathrm{Scatter} \mathrm{plots} \mathrm{show} \mathrm{how} \mathrm{much} \mathrm{one} \mathrm{variable} \mathrm{is} \mathrm{affected} \mathrm{by} \mathrm{another}. \\ \mathrm{The} \mathrm{relationship} \mathrm{between} \mathrm{two} \mathrm{variables} \mathrm{is} \mathrm{called} \mathrm{their} \mathrm{correlation} . \mathrm{Scatter} \mathrm{plots} \mathrm{usually} \mathrm{consist} \mathrm{of} \mathrm{a} \mathrm{large} \mathrm{body} \mathrm{of} \mathrm{data}. \\ \mathrm{The} \mathrm{closer} \mathrm{the} \mathrm{data} \mathrm{points} \mathrm{come} \mathrm{when} \mathrm{plotted} \mathrm{to} \mathrm{making} \mathrm{a} \mathrm{straight} \mathrm{line}, \mathrm{the} \mathrm{higher} \mathrm{the} \mathrm{correlation} \mathrm{between} \mathrm{the} \mathrm{two} \mathrm{variables}, \mathrm{or} \mathrm{the} \mathrm{stronger} \mathrm{the} \mathrm{relationship}. \\ \mathrm{If} \mathrm{the} \mathrm{data} \mathrm{points} \mathrm{make} \mathrm{a} \mathrm{straight} \mathrm{line} \mathrm{going} \mathrm{from} \mathrm{the} \mathrm{origin} \mathrm{out} \mathrm{to} \mathrm{high} \mathrm{x}- \mathrm{and} \mathrm{y}-\mathrm{values}, \mathrm{then} \mathrm{the} \mathrm{variables} \mathrm{are} \mathrm{said} \mathrm{to} \mathrm{have} \mathrm{a} \mathrm{positive} \mathrm{correlation} . \\ \mathrm{If} \mathrm{the} \mathrm{line} \mathrm{goes} \mathrm{from} \mathrm{a} \mathrm{high}-\mathrm{value} \mathrm{on} \mathrm{the} \mathrm{y}-\mathrm{axis} \mathrm{down} \mathrm{to} \mathrm{a} \mathrm{high}-\mathrm{value} \mathrm{on} \mathrm{the} \mathrm{x}-\mathrm{axis}, \mathrm{the} \mathrm{variables} \mathrm{have} \mathrm{a} \mathrm{negative} \mathrm{correlation} . \end{gathered}$$

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