Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone. x 1004 975 992 935 989 928 y 40 100 65 145 78 152 (b) Would you say the correlation is low, moderate, or strong? Would you say the correlation is positive or negative? Compute r. (Round your answer to three decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. Given our value of r, y should tend to decrease as x increases. a)Given our value of r, y should tend to increase as x increases. b) Given our value of r, we can not draw any conclusions for the behavior of y as x increases. c) Given our value of r, y should tend to remain constant as x increases.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone.
| x | 1004 | 975 | 992 | 935 | 989 | 928 |
| y | 40 | 100 | 65 | 145 | 78 |
152 |
(b) Would you say the
Would you say the correlation is positive or negative?
Compute r. (Round your answer to three decimal places.)
As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.
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