(Answered) The article crop improvement for tropical and subtropical

Statistics

The article "Crop Improvement for Tropical and Subtropical Australia: Designing Plants for Difficult Climates" (Field Crops Research, 1991) gave the accompanying data on x = crop duration in days for soybeans and y = crop yield in tons/hectare.

X------ 92 92 96 100 102 102 106 106 121 143

Y------ 1.7 2.3 1.9 2.0 1.5 1.7 1.6 1.8 1.0 0.3

(a) Draw a scatterplot of the raw data and a residual plot. Give interpretations of both.

(b) Conduct a hypothesis test for β. Give the p-value and statement about whether the linear relationship is statistically significant.

(d) Give an explanation of the coefficient of determination.

(e) Give a 95% prediction interval estimate for the crop yield corresponding to a crop duration of 105 days.

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