Question

In: Math

Plot Nutrients added # of species 1 0 36 2 0 36 3 0 32 4...

Plot Nutrients added # of species
1 0 36
2 0 36
3 0 32
4 1 34
5 2 33
6 3 30
7 1 20
8 3 23
9 4 21
10 4 16

What effect do nutrient additions have on plant species diversity? Long-term experiments at the Rothamstead Experimental Station in the U.K. sought to investigate the relationship, with some interesting findings.

The data can be found in the linked Google Sheets document  - you'll want to copy it to Excel and use the Data Analysis ToolPak.

1) Produce a scatter plot of the data (click here for a generic youtube video on creating a scatter plot from excel data - this is for informational purposes only - it's not your data)

  • Which is the explanatory variable? (nutrients OR species)
  • Which is the response variable? (nutrients OR species)
  • Looking at your scatter plot, do you observe a positive or negative relationship?  

2) Add the least-squares regression line to your scatter plot. (click here for a generic youtube video on adding trendlines to scatter plots - this is for informational purposes only - it's not your data)

  • What fraction of the variation in the number of plant species is "explained" by the number of nutrients added? Answer to two decimal places.

3) Test the hypothesis of no treatment effect on the number of plant species.

  • What is your t-value?  
  • Do you accept or reject the null hypothesis?

Solutions

Expert Solution


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