Concept explainers
Applying the Concepts and Skills
In each of Exercises,
a. find the regression equation for the data points.
b. graph the regression equation and the data points.
c. describe the apparent relationship between the two variables under consideration.
d. interpret the slope of the regression line.
e. identify the predictor and response variables.
f. identify outliers and potential influential observations.
g. predict the values of the response variable for the specified values of the predictor variable, and interpret your results.
Plant Emissions. Plants emit gases that trigger the ripening of fruit, attract pollinators, and cue other physiological responses. N. Agelopolous et al. examined factors that affect the emission of volatile compounds by the potato plant Solanum tuberosum and published their findings in the paper “Factors Affecting Volatile Emissions of Intact Potato Plants, Solanum tuberosum: Variability of Quantities and Stability of Ratios” (Journal of Chemical Ecology, Vol. 26, No. 2, pp. 497–511). The volatile compounds analyzed were hydrocarbons used by other plants and animals. Following are data on plant weight (x), in grams, and quantity of volatile compounds emitted ( y), in hundreds of nanograms, for 11 potato plants. For part (g), predict the quantity of volatile compounds emitted by a potato plant that weighs 75 grams.
x | 57 | 85 | 57 | 65 | 52 | 67 | 62 | 80 | 77 | 53 | 68 |
y | 8.0 | 22.0 | 10.5 | 22.5 | 12.0 | 11.5 | 7.5 | 13.0 | 16.5 | 21.0 | 12.0 |
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