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# A tomato grower experiments with a new organic fertilizer and sets up five separate garden beds: A, B, C, D and E. The grower applies different amounts of fertilizer to each bed and records the diameter of each tomato picked. The average diameter of a tomato from each garden bed and the corresponding amount of fertilizer are recorded below.

A )Draw a scatter plot for the data with ‘Diameter’ on the vertical axis and ‘Fertilizer’ on the horizontal axis. Label the points A, B, C, D and E.

b)Which garden bed appears to go against the trend?

c)According to the given results, would you be confident saying that the amount of fertilizer fed to tomato plants does affect the size of the tomato produced?

Hint:

### A scatter plot uses dots to represent values for two different numeric variables. A trend line is used to describe the behavior or direction of a scatter plot.

We are asked to graph the scatter plot, find the garden bed that goes against the trend and check if the variables are related.

## The correct answer is: We are asked to graph the scatter plot, find the garden bed that goes against the trend and check if the variables are related.

### ANSWER:

Step 1 of 3:

The coordinate points obtained by taking “diameter” on the vertical axis and “fertilizer” on the horizontal axis are:

(20,6.8),(25,7.4),(30,7.6),(35,6.2),(40,8.5)

The scatter plot corresponding points are:

Step 2 of 3:

The trend line corresponding to the scatter plot is:

The garden bed C went again the trend. It stays around the trend line but the rest of them lie on the line which is more accurate approximation.

Step 3 of 3:

Yes, I would confidently say that the amount of fertilizer fed to tomato plants does affect the size of the tomato produced.

If you analyze the graph, as the amount of fertilizer increases, there is an increase in the diameter of the tomato picked. This means, they are positively correlated.

If a trend line is upward or has a positive slope, then the variables for that graph corresponding to the line have a positive correlation.

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