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Plant growth (productivity) is often related to the amount of nitrogen (N) avail

ID: 47470 • Letter: P

Question

Plant growth (productivity) is often related to the amount of nitrogen (N) available in the soils. Consider the following figure:

What is/are the independent variable(s)?

            Productivity

            Available N

            Productivity and available N

            Cannot be determined

What is/are the dependent variable(s)?

            Productivity

            Available N

            Productivity

            Cannot be determined

What is the most precise description of the relationship between productivity and nitrogen?

            Positive

            Negative

            Productivity = (nitrogen*75.2) ? 88.1

            There is no apparent relationship

Is this relationship (if any) statistically significant?

            Yes, by a lot

            Yes, by a little

            No

            Cannot be determined

What evidence did you use to determine your answer to the previous question?

            Y = (x*75.2) ? 88.1

            r squared = 0.91

            p < 0.01

visual inspection of the data

An increase in available N of 1 g/m2/yr is predicted to have which of the following effects?

            Increase productivity

            Decrease productivity by 88.1 g

            Increase productivity by 0.91 g

            Cannot be determined

The value 75.2 represents what in this example?

            Slope

            Intercept

            Coefficient of variation

            Probability of a type-1 error

Available nitrogen explains what percent of the variation in productivity?

            75.2

            91

            0.91

            < 0.01

What is this type of statistical analysis called?

            Correlation

            Regression

            t-test

            ANOVA

What is the null hypothesis associated with this type of statistical analysis?

            Means of x and y are equal

            Variances of x and y are equal

            No association between x and y

            Slope of line y = bx + a is zero

y x.75.2) 88.1 r 0.91 Ps0.01 500 200 100 10 vailable N (g/m2yr)

Explanation / Answer

Answer

A. Independent Variable: Available N

B. Dependent Variable: Productivity

C. The relationship between productivity and nitrogen: Positive

D. Statistical significance: Yes, by a little

E. p < 0.01

F. Increased productivity

G. Slope

H. Percent of the variation in productivity: 75.2

I.Type of statistical analysis: Regression