=. The data in the accompany- the Park Grass Experiment at imental Station in the U.K., eld plots have been fertilized st 150 years (collated by 2007) The number of plant 2 3 4 5 6 7

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19. You might think that increasing the resources
available would elevate the number of plant spe-
cies that an area could support, but the evidence
suggests otherwise. The data in the accompany-
ing table are from the Park Grass Experiment at
Rothamsted Experimental Station in the U.K.,
where grassland field plots have been fertilized
annually for the past 150 years (collated by
Harpole and Tilman 2007). The number of plant
species recorded in 10 plots is given in response
to the number of different nutrient types added
Plot
1
2
3
4
5
6
7
8
9
10
Number of
nutrients added
0
0
0
3144 E2
3
Number of
plant species
36
36
32
34
33
30
20
23
21
16
Transcribed Image Text:19. You might think that increasing the resources available would elevate the number of plant spe- cies that an area could support, but the evidence suggests otherwise. The data in the accompany- ing table are from the Park Grass Experiment at Rothamsted Experimental Station in the U.K., where grassland field plots have been fertilized annually for the past 150 years (collated by Harpole and Tilman 2007). The number of plant species recorded in 10 plots is given in response to the number of different nutrient types added Plot 1 2 3 4 5 6 7 8 9 10 Number of nutrients added 0 0 0 3144 E2 3 Number of plant species 36 36 32 34 33 30 20 23 21 16
a. Draw a scatter plot of these data. Which
variable should be the explanatory variable
(X), and which should be the response
variable (Y)?
b. What is the rate of change in the number
of plant species supported per nutrient type
added? Provide a standard error for your
estimate.
c. Add the least-squares regression line to your
scatter plot. What fraction of the variation in
the number of plant species is "explained" b
the number of nutrients added?
d. Test the null hypothesis of no treatment
effect on the number of plant species.
Transcribed Image Text:a. Draw a scatter plot of these data. Which variable should be the explanatory variable (X), and which should be the response variable (Y)? b. What is the rate of change in the number of plant species supported per nutrient type added? Provide a standard error for your estimate. c. Add the least-squares regression line to your scatter plot. What fraction of the variation in the number of plant species is "explained" b the number of nutrients added? d. Test the null hypothesis of no treatment effect on the number of plant species.
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