Here is the data set: Site Irrigation Nitrogen Yield A Yes 0 19 A Yes 50 27 A Ye
ID: 3147235 • Letter: H
Question
Here is the data set:
Site Irrigation Nitrogen Yield A Yes 0 19 A Yes 50 27 A Yes 100 35 A Yes 150 36 A Yes 200 35 A Yes 250 39 A No 0 22 A No 50 27 A No 100 27 A No 150 28 A No 200 30 A No 250 33 B Yes 0 20.5 B Yes 50 30 B Yes 100 31 B Yes 150 32 B Yes 200 35 B Yes 250 34 B No 0 21 B No 50 30 B No 100 31 B No 150 33 B No 200 35 B No 250 34 C Yes 0 45 C Yes 50 47 C Yes 100 48 C Yes 150 48 C Yes 200 48 C Yes 250 49 C No 0 46 C No 50 45 C No 100 46.5 C No 150 48 C No 200 47.5 C No 250 49 D Yes 0 22 D Yes 50 28 D Yes 100 33 D Yes 150 35 D Yes 200 37 D Yes 250 35 D No 0 30 D No 50 33 D No 100 36 D No 150 36 D No 200 42 D No 250 40 Potato Yields. Nitrogen and water are important factors influencing potato production. One study of their roles was conducted at sites in the St. John River Valley of New Brunswick. (G. Belanger et al., "Yield Response of Two Potato Cultivars to Supplemental Irrigation and N fertilization in New Brunswick," American Journal of Potato Research 77 (2000): 11-21.) Nitrogen fertilizer was applied at six different levels in combination with two water conditions: irrigated or nonirrigated This design was repeated at four different sites in 1996, with the resulting yields depicted in Display 10.21. Notice that the patterns of responses against nitrogen level are fit reasonably well by quadratic curves Each quadratic requires 3 parameters, so a model that would allow for separate quadratic curves for each site-by-irrigation combination would have 24 parameters. (a) Using indicator functions for sites and for irrigation, construct a multiple linear regression model with 23 variables that will allow for completely different quadratic curves. Interpret the parameters in this model, if possible (b) Describe how you would answer the following questions: (i) Is there evidence that the manner in which the quadratic terms differ by water condition changes from site to site (or is the difference the same at all four sites)? (i) If the quadratic term differences are the same at all sites, is there strong evidence of a difference by water condition? (ii) If there is no difference between quadratic terms by water or by site, is there evidence of any quadratic term at all? (iv), (v), and (Vi) Repeat (i), (i), and (ii) for the linear terms, if there is no evidence of any quadratic terms. (c)Why are the questions in (b) ordered as they are?Explanation / Answer
Frequency Mapping
A- 120
B- 200
C-250
D-400
We need to know that these frequencies shall give us the desired output result as expected. Further, the final result will be this.