Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter B.6, Problem 28AYU
Diversity and pH The following data represent the number of fish species living in various Andirondack Lakes and the pH of the lakes. From chemistry, we know pH is a measure of the acidity or basicity of a solution. Solutions with pH less than 7 are said to be acidic. As pH increases, the solution is said to be less acidic.
pH | Species |
4.6 | 0 |
4.7 | 0 |
4.8 | 0 |
5 | 0 |
5 | 2 |
5.2 | 2 |
5.2 | 1 |
5.25 | 0 |
5.3 | 1 |
5.35 | 1 |
5.5 | 5 |
5.7 | 4 |
5.75 | 3 |
5.8 | 8 |
6 | 3 |
6.1 | 4 |
6.2 | 9 |
6.25 | 9 |
6.3 | 2 |
6.3 | 4 |
6.3 | 9 |
6.4 | 5 |
6.7 | 6 |
6.7 | 8 |
6.7 | 8 |
6.8 | 10 |
Data based on “Taking the Sting Out of Acid Rain” by David Malakoff Science 12 November 2010 pp. 910–911
- (a) Draw a
scatter diagram of the data treating pH as the explanatory variable. - (b) Determine the linear
correlation coefficient between pH and number of fish species. - (c) Does a linear relation exist between pH and number of fish species?
- (d) Find the least-squares regression line treating pH as the explanatory variable.
- (e) Interpret the slope.
- (f) Is it reasonable to interpret the intercept? Explain.
- (g) What proportion of the variability in number of fish species is explained by pH?
- (h) Is the number of fish species in the lake whose pH is 5.5 above or below average? Explain.
- (i) In part (g), you found the proportion of variability in number of fish species that is explained by the variability in pH. Can you think of other variables that might also explain the variability in the number of fish species?
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Fundamentals of Statistics (5th Edition)
Ch. B.6 - The acronym ANOVA stands for __________ __...Ch. B.6 - True or False: To perform a one-way ANOVA, the...Ch. B.6 - True or False: To perform a one-way ANOVA, the...Ch. B.6 - The variability among the sample means is called...Ch. B.6 - The variability within each treatment group, which...Ch. B.6 - True or False: The F-test statistic is F0=MSTMSE.Ch. B.6 - In Problems 7 and 8, fill in the ANOVA table. 7.Ch. B.6 - In Problems 7 and 8, fill in the ANOVA table. 8.Ch. B.6 - In Problems 9 and 10, determine the F-test...Ch. B.6 - In Problems 9 and 10, determine the F-test...
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