Probability and Statics HELP! . . Please answer the questions below: . The decli

Question

Probability and Statics HELP!

.

.

Please answer the questions below:

.

The decline of water supplies in certain areas of the United States has created the need for increased understanding of relationships between economic factors such as crop yield and hydrologic and soil factors. A study gives data on grain sorghum yield (y, in g/m-row) and distance upslope (x, in m) on a sloping watershed. After running the regression model on the dataset in Minitab, the following output was produced: 1. Regression Analysis: sorghum yield versus distance Analysis of Variance DF Adj ss Adj MS 57906 F-Value 19.28 P-Value 0.001 Source Regression Error Total 57906 13 93943 Coefficient:s Coef SE Coef T-Value P-Value Term Constant 515.4 distance -1.06 25.1 0.24 0.000 0.001 a) Fill in the empty boxes b) How many observed pairs of x and y did this dataset has (sample size)? c) What is the equation of the regression line? d) What is the expected value of yield when the distance is 90 meters? e) By how much can we expect yield to change when distance decreases by 1 meter?

Explanation / Answer

MS = SS/df

df_reg + df_err = df_total = n-1

t = Coef/SE_coef

using all formula above , we get

b) n-1 = 13

n = 14

c) y^ = 515.4 -1.06*distance

d) when distance = 90

y^ = 515.4 -1.06*90 = 420

e) if distance decrease by 1 meter

change = -1.06 *(-1)

= 1.06

f)

r^2 = SSR/SST = 57906/93943 =

g) s = sqrt(SSE/(n-2))

= sqrt(36037/12)

= 54.8003

h) since p-value of b1 is 0.001 < 0.05

we reject the null and conclude that there is useful relation between two variable

Please don't forget to rate positively if you found this response helpful.
Feel free to comment on the answer if some part is not clear or you would like to be elaborated upon.
Thanks and have a good day!

df ss ms f p-value reg 1 57906 57906 19.28218 0.001 err 12 36037 3003.083 total 13 93943 coef se t-value p-value cons 515.4 25.1 20.53386 0 distance -1.06 0.24 -4.41667 0.001

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.