Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A made-up shop records the rainfall and the umbrellas it sells on eight days.
| Rainfall (mm) | Umbrellas sold |
|---|---|
Find the mean rainfall and the mean number of umbrellas. Then count how many days lie at the lower left or upper right of the two mean lines, and how many lie at the upper left or lower right. What does the count suggest about the sign of ?
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 means. and umbrellas.
Step 2. The lower left. The days with , , and mm have sales of , , and , all below . That is days.
Step 3. The upper right. The days with , , and mm sold , , and , all above the mean. That is more days.
Answer: the means are mm and umbrellas; days lie at the lower left or upper right, and days at the upper left or lower right.
What it means. Every product is positive, so is positive, and fairly large. In fact .
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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.