Chapter 3.2, Problem 70E

To determine

To analyze: Whether the data supports the idea of benefit beetles.

Answer to Problem 70E

Yes, the provided idea is being supported by the data set.

Explanation of Solution

Given:

Data set is:

Stumps	Beetle Larvae
2	10
2	30
1	12
3	24
3	36
4	40
3	43
1	11
2	27
5	56
1	18
3	40
2	25
1	8
2	21
2	14
1	16
1	6
4	54
1	9
2	13
1	14
4	50

Calculation:

Whether the data is supporting the provided idea or not using the four-step process could be identified as:

(a). The appropriate question is “What is the relationship between beetle larvae and stumps”.

(b). The appropriate statistical operations are the computation of the correlation and the regression line and in this case the regression line and correlation are:

  

Thus, the correlation coefficient is 0.839 and the regression equation is $\widehat{y}=11.894x-1.286$

(c). The scatterplot could be constructed as:

  

(d). The above constructed scatter plot shows the strong positive relationship exists between the two variables

The above explanation shows that the data is supporting the claim.