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


Related Solutions

A= 1 2 4 0 1 -2 -1 0 1 2 0 3 8 1 4...
A= 1 2 4 0 1 -2 -1 0 1 2 0 3 8 1 4 . Let W denote the row space for A. (a) Find an orthonormal basis for W and for W⊥. (b) Compute projW⊥(1 1 1 1 1 ).
exampleInput.txt 1 2 3 0 2 3 4 0 1 3 5 0 1 2 6...
exampleInput.txt 1 2 3 0 2 3 4 0 1 3 5 0 1 2 6 1 5 6 8 2 4 6 7 3 4 5 9 10 5 8 9 4 7 9 6 7 8 6 How can I detect when 'cin' starts reading from a new line. The amount of numbers in each row is unknown. I need them in type 'int' to use the data.
Hyperbolas 4(y - 1)^2 - (x + 4)^2 - 36 =0 find the x- and y-...
Hyperbolas 4(y - 1)^2 - (x + 4)^2 - 36 =0 find the x- and y- intercepts. label on graph state the domain and range
0. 0. 0. 0.0. 0. 0. 0. 0. 1. 1. 1. 1. 1. 1. 2. 2. 2. 3. 4.
0. 0. 0. 0.0. 0. 0. 0. 0.   1. 1. 1. 1. 1. 1. 2. 2. 2. 3.   4. A.)MEAN – B.)MEDIAN - C.)MODE - D.)STANDARD DEVIATION – E.)5 NUMBER SUMMARY – F.)BOX AND WHISKERS PLOT – G.) OUTLIERS-
0. 0. 0. 0.0. 0. 0. 0. 0. 1. 1. 1. 1. 1. 1. 2. 2. 2. 3. 4.
0. 0. 0. 0.0. 0. 0. 0. 0.   1. 1. 1. 1. 1. 1. 2. 2. 2. 3.   4. A.)5 NUMBER SUMMARY – B.)BOX AND WHISKERS PLOT – C.) OUTLIERS-
A:=<<0,-1,1>|<4,0,-2>|<2,-1,0>|<2,1,1>>; Matrix(3, 4, [[0, 4, 2, 2], [-1, 0, -1, 1], [1, -2, 0, 1]]) (a)...
A:=<<0,-1,1>|<4,0,-2>|<2,-1,0>|<2,1,1>>; Matrix(3, 4, [[0, 4, 2, 2], [-1, 0, -1, 1], [1, -2, 0, 1]]) (a) Use the concept of matrix Rank to argue, without performing ANY calculation, why the columns of this matrix canNOT be linerly independent. (b) Use Gauss-Jordan elimination method (you can use ReducedRowEchelonForm command) to identify a set B of linearly independent column vectors of A that span the column space of A. Express the column vectors of A that are not included in the set...
X 1 3 5 3 4 4 Y 2 5 4 3 4 6 A: Plot...
X 1 3 5 3 4 4 Y 2 5 4 3 4 6 A: Plot the date B: find the line of best fit C: determine ŷ AT x=3 D: Find r and r^2 E: explain r and r^2
Solve the equation z^3/4 − 1 − i = 0 for z, and plot the solutions...
Solve the equation z^3/4 − 1 − i = 0 for z, and plot the solutions in the complex plane.
Consider the following reference string: 7, 0, 1, 2, 0, 3, 0, 4, 2, 3, 0,...
Consider the following reference string: 7, 0, 1, 2, 0, 3, 0, 4, 2, 3, 0, 3, 2, 1, 2, 0, 1, 7, 0, 1 Find the number of Page Faults with FIFO, Optimal Page Replacement, and LRU with four free frames that are initially empty. Which algorithm gives the minimum number of page faults?
A = (1 −7 5 0 0 10 8 2 2 4 10 3 −4 8...
A = (1 −7 5 0 0 10 8 2 2 4 10 3 −4 8 −9 6) (1) Count the number of rows that contain negative components. (2) Obtain the inverse of A and count the number of columns that contain even number of positive components. (3) Assign column names (a,b,c,d) to the columns of A. (4) Transform the matrix A into a vector object a by stacking rows. (5) Replace the diagonal components of A with (0,0,2,3). Hint:...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT