Question

Question 1. A soil management specialist was studying the relationship between the average temperature (in ºC) and the yield in bushels per acre for a certain crop. The data is given in Table 1 below.

Table 1

Region	Temperature		Yield
	(in ºC)		(in bushels per acre)
	X		Y
1	4		1
2	8		9
3	10		7
4	9		11
5	11		13
6	6		7

1. Construct a scatter a scatter diagram for the paired data.
2. As temperature increases, does yield appear to increase, decrease, or remain the same?
3. Compute the coefficient of correlation, and interpret it.
4. Compute the coefficient of determination and interpret it.

Answer 1

a. The scatter diagram for the paired data as follow. Temperature is plotted in X-axis and yield is plotted in Y-axis.

b. From the diagram it is clear that, yield appears to increase as temperature increases.

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