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Complete Multiple Regression Analysis

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Review question 5

Soil and sediment adsorption, the extent to which chemicals collect in a condensed form on the surface, is an important characteristic influencing the effectiveness of pesticides and various agricultural chemicals. The following table contains data relating: y = phosphate adsorption index, x1 = extractable iron, and x2 = extractable aluminum.

Adsorption Data

Adsorption Index Extractable Iron Extractable Aluminum

4 61 13
18 175 21
14 111 24
18 124 23
26 130 64
26 173 38
21 169 33
30 169 61
28 160 39
36 244 71
65 257 112
62 333 88
40 199 54

The following model is proposed:

Y = 0 + 1x1 + 2x2 + 

Carry out a complete multiple regression analysis of this model.

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This solution contains calculations to complete the multiple regression analysis.

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Review question 5

Soil and sediment adsorption, the extent to which chemicals collect in a condensed form on the surface, is an important characteristic influencing the effectiveness of pesticides and various agricultural chemicals. The following table contains data relating: y = phosphate adsorption index, x1 = extractable iron, and x2 = extractable aluminum.

Adsorption Data

Y Adsorption Index X1 Extractable Iron Extractable Aluminum X2

4 61 13
18 175 21
14 111 ...

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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