Is the magnitude of an earthquake related to the depth below the surface at which the quake occurs? Let x be the magnitude of an earthquake (on the Richter scale), and let y be the depth (in kilometers) of the quake below the surface at the epicenter. x 3.1 4.3 3.3 4.5 2.6 3.2 3.4 y 4.8 9.6 11.2 10.0 7.9 3.9 5.5 A) Make a scatter diagram of the data. Use a calculator to verify that Σx = 24.4, Σx2 = 87.80, Σy = 52.9, Σy2 = 448.51 and Σxy = 189.84.B) Compute r. (Round to 3 decimal places.) C) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Is the magnitude of an earthquake related to the depth below the surface at which the quake occurs? Let x be the magnitude of an earthquake (on the Richter scale), and let y be the depth (in kilometers) of the quake below the surface at the epicenter.
| x | 3.1 | 4.3 | 3.3 | 4.5 | 2.6 | 3.2 | 3.4 |
| y | 4.8 | 9.6 | 11.2 | 10.0 | 7.9 | 3.9 | 5.5 |
A) Make a
Use a calculator to verify that Σx = 24.4, Σx2 = 87.80, Σy = 52.9, Σy2 = 448.51 and Σxy = 189.84.
B) Compute r. (Round to 3 decimal places.)
C) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.
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