14.50 ●This exercise requires the use of a computer pack- age. A study on the effect of applying fertilizer in bands is described in the article "Fertilizer Placement Effects on Growth, Yield, and Chemical Composition of Bur- ley Tobacco" (Agronomy Journal [1984]: 183-188). The accompanying data were taken from a scatterplot appear- ing in the article, with y = plant Mn (ug/g dry weight)

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14.50 ●This exercise requires the use of a computer pack-
age. A study on the effect of applying fertilizer in bands
is described in the article "Fertilizer Placement Effects
on Growth, Yield, and Chemical Composition of Bur-
ley Tobacco" (Agronomy Journal [1984]: 183-188). The
accompanying data were taken from a scatterplot appear-
ing in the article, with y = plant Mn (ug/g dry weight)
and x = distance from the fertilizer band (cm). The au-
thors suggest a quadratic regression model.
Transcribed Image Text:14.50 ●This exercise requires the use of a computer pack- age. A study on the effect of applying fertilizer in bands is described in the article "Fertilizer Placement Effects on Growth, Yield, and Chemical Composition of Bur- ley Tobacco" (Agronomy Journal [1984]: 183-188). The accompanying data were taken from a scatterplot appear- ing in the article, with y = plant Mn (ug/g dry weight) and x = distance from the fertilizer band (cm). The au- thors suggest a quadratic regression model.
x
y
0
110
10
90
20
76
30
72
40
70
a.
Use a suitable computer package to find the esti-
mated quadratic regression equation.
b.
Perform the model utility test.
c. Interpret the values of R² and se.
d. Are both the linear and quadratic predictors impor-
tant? Carry out the necessary hypothesis tests and
interpret the results.
Find a 90% confidence interval for the mean plant
Mn for plants that are 30 cm from the fertilizer
band.
Transcribed Image Text:x y 0 110 10 90 20 76 30 72 40 70 a. Use a suitable computer package to find the esti- mated quadratic regression equation. b. Perform the model utility test. c. Interpret the values of R² and se. d. Are both the linear and quadratic predictors impor- tant? Carry out the necessary hypothesis tests and interpret the results. Find a 90% confidence interval for the mean plant Mn for plants that are 30 cm from the fertilizer band.
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