What does the "buzz run" signal? That all of the nest-site scouts are currently out scouting That the queen has lowered her QMP emissions That the nesting site one forager is dancing for is not the best choice That it is time for the swarm to take-off
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Step 1: The "buzz run" signal is a behavior exhibited by honeybees when they rapidly run around inside the hive, creating a buzzing sound. Show more…
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The Honeybee Waggle Dance When honeybee scouts find a food source or a nice site for a new home, they communicate the location to the rest of the swarm by doing a "waggle dance."68 They point in the direction of the site and dance longer for sites farther away. The rest of the bees use the duration of the dance to predict distance to the site. Table 2.36 shows the distance, in meters, and the duration of the dance, in seconds, for seven honeybee scouts. $^{69}$ This information is also given in HoneybeeWaggle. (a) Which is the explanatory variable? Which is the response variable? (b) Figure 2.69 shows a scatterplot of the data. Does there appear to be a linear trend in the data? If so, is it positive or negative? (c) Use technology to find the correlation between the two variables. (d) Use technology to find the regression line to predict distance from duration. (e) Interpret the slope of the line in context. (f) Predict the distance to the site if a honeybee does a waggle dance lasting 1 second. Lasting 3 seconds.
Describing Data
Two Quantitative Variables: Linear Regression
When honeybee scouts find a food source or a nice site for a new home, they communicate the location to the rest of the swarm by doing a "waggle dance." 74 They point in the direction of the site and dance longer for sites farther away. The rest of the bees use the duration of the dance to predict distance to the site. Table 2.32 Duration of $a$ honeybee waggle dance to indicate distance to the source $$\begin{array}{cc} \hline \text { Distance } & \text { Duration } \\ \hline 200 & 0.40 \\250 & 0.45 \\ 500 & 0.95 \\950 & 1.30 \\ 1950 & 2.00 \\3500 & 3.10 \\4300 & 4.10 \\\hline\end{array}$$ Table 2.32 shows the distance, in meters, and the duration of the dance, in seconds, for seven honeybee scouts. $^{75}$ This information is also given in HoneybeeWaggle. (a) Which is the explanatory variable? Which is the response variable? (b) Figure 2.70 shows a scatterplot of the data. Does there appear to be a linear trend in the data? If so, is it positive or negative? (c) Use technology to find the correlation between the two variables. (d) Use technology to find the regression line to predict distance from duration. (e) Interpret the slope of the line in context. (f) Predict the distance to the site if a honeybee does a waggle dance lasting 1 second. Lasting 3 seconds.
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