Question

A collection of paired data consists of the number of pounds of fertilizer (x) spread in...

A collection of paired data consists of the number of pounds of fertilizer (x) spread in a field and the amount of wheat (y) produced in that field. Fertilizer data ranged from 20 lb. to 85 lb. sample mean amount of fertilizer = 60 lb., sample mean amount of wheat produced = 23 (hundred) lb. Excel returns the following regression analysis.        

Regression Statistics

Multiple R

0.865

R Square

0.748

ANOVA

df

SS

Regression

1

749.067

Residual

10

186.933

Total

11

936.000

Coefficients

Standard Error

Intercept

-0.245

3.574

pd. of fertilizer

0.326

0.056

a. Determine if there is a significant linear relationship between the variables by the rho test.

b. Write the regression equation.

c. What percent of variation in amount of wheat produced cannot be explained by the regression equation?

d. What is the best predicted value of the amount of wheat produced if the amount of fertilizer is 90 pounds?

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