DIRECTIONS Show your work or explain how you arived at your condlusion whenever
ID: 2907751 • Letter: D
Question
DIRECTIONS Show your work or explain how you arived at your condlusion whenever approprate. 1. In an area of the Great Plains, records were kept on the relaionship between the annual rainfall (in inches) and the yield of wheat (bushels per acre). This data is in the table below inches) Yield of 42 44 56 4 18 65 72 acre) Farmer Green used this data to predict the number of bushels per aore of wheat produced in a season based upon the number of inches of raintal using linear regression ansysis. His StatCnunch output is given below Farmer Green's output: 0.86636001 Correlation between Rainfall (inches) and Yield (bushels) is: (P-value -o.0025) Simple linear regression results: Dependent Variable: Yield (bushels) Independent Variable: Rainfall (inches) Yield (bushels)-8.5535+3.5724 Rainfall (inches) 1. (Cont'd) a. State the direction of the relationship between the two variables and interpret its meaning in the context of this problem. b. Explain whether or not Farmer Green's use of regression analysis to produce the equation of the "line of best fit was appropriate in this situation C. What would Farmer Green predict to be the number of bushels per acre of wheat produced in a season if there are 15 inches of rainfall that year? Show how you arrived at your answer and interpret its meaning in the context of this problem. d. Farmer Green's cousin guessed that if 40 bushels per acre of wheat was produced in a season then there must have been an annual rainfall of about 8 inches. Explain whether or not this guess was reasonable. e. Farmer Green's cousin grows corn in upstate New York. What should his cousin predict to be the number of bushels per acre of corn produced in a season if there are 17 inches of rainfall that year?Explanation / Answer
SOLUTION (E)
YIELD (BUSHES)= 8.5535+ 3.5724*RAINFALL(INCHES)
Here in the question rainfall measurment is 17 inches. Put rainfall =17 inches in the above linear equation
we have
YIELD (BUSHES)= 8.5535+3.5724*17
YIELD (BUSHES)= 8.5535+60.7308
YIELD (BUSHES)= 69.2843 number of bushes per acre of corn produced in a season if there are 17 inches of rainfall that year.
NOTE: THIS IS THE SOLUTION OF QUESTION (E) .
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