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A made-up bus company records six journeys on one route…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A made-up bus company records six journeys on one route. The distances are , , , , and km. The journey times are , , , , and minutes, in the same order. Which variable is the explanatory variable? Find the point of the means, and describe the direction of the pattern. Give the means to two decimal places.
Need a reminder? The key ideaShow
A scatter plot shows one dot for each individual, with the explanatory variable across and the response up. The point of the means sits at the centre. Describe the plot by direction, form, strength and outliers.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The variables. The distance may explain the time, so the distance is the explanatory variable , and the time is the response .
Step 2. The means. and minutes.
Step 3. The direction. Longer journeys take longer, so the dots rise to the right: a positive association.
Answer: distance is explanatory; the point of the means is about ; the association is positive.
Check. Both means lie between the smallest and the largest values, as they must.
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