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Posted: August 21st, 2024
Can a low barometer reading be used to predict maximum wind speed of an approaching tropicalcyclone? Let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be themaximum wind speed (in miles per hour) of the cyclone. Suppose a random sample of cyclonesgave the following information.xy101450935809806095513599584Given that the value of r is â0.556, should y increase as x increases, does the value of r implythat y should tend to increase, decrease, or remain the same? Without performing a test forsignificance of r, would we be inclined, based on the value of r, to determine the regression line?Explain.A) Since r is zero, as x increases, y remains the same. Yes, this is strongly correlatedand we would determine the regression line.B) Since r is negative, as x increases, y decreases. The correlation coefficient does notindicate that we should determine the regression line.C) Since r is negative, as x increases, y increases. The correlation coefficient does notindicate we should determine the regression line.D) Since r is positive, as x increases, y increases. Yes, this is strongly correlated andwe would determine the regression line.E) None of these.
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