The data corresponds to a study that found that the number of stumps from trees felled by beavers predicts the abundance of beetle larvae. 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 Click to download the data in your preferred format. CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! Is there good evidence that more beetle larvae clusters are present when beavers have left more tree stumps? Estimate how many more clusters accompany each additional stump, with 95% confidence. SOLVE: Use the software of your choice to make a scatterplot of the data. There is a positive non‑linear relationship. There is a negative non‑linear relationship. There is a positive linear relationship. There is a negative linear relationship. Calculate the intercept ? , and the slope ? , of the regression line for the sample data. Give your answers to three decimal places. ?= ?= Find the t statistic for regression. Give your answer to two decimal places. ?= Find the ?-value range. ?<0.0005 0.0005<0.0010 0.001<?<0.01 0.01<?<0.05 Find the upper and lower bound for the 95% confidence interval of the slope. Give your answers to three decimal places. upper bound: lower bound:
The data corresponds to a study that found that the number of stumps from trees felled by beavers predicts the abundance of beetle larvae.
| 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 |
Click to download the data in your preferred format.
CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt!
Is there good evidence that more beetle larvae clusters are present when beavers have left more tree stumps? Estimate how many more clusters accompany each additional stump, with 95% confidence.
SOLVE: Use the software of your choice to make a
There is a positive non‑linear relationship.
There is a negative non‑linear relationship.
There is a positive linear relationship.
There is a negative linear relationship.
Calculate the intercept ? , and the slope ? , of the regression line for the sample data. Give your answers to three decimal places.
Find the t statistic for regression. Give your answer to two decimal places.
Find the ?-value
?<0.0005
0.0005<?<0.0010
0.001<?<0.01
0.01<?<0.05
Find the upper and lower bound for the 95% confidence interval of the slope. Give your answers to three decimal places.
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