Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? 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. Suppose a random sample of cyclones gave the following information. $$\begin{array} { c | c c c c c }
\hline x & 1014 & 935 & 980 & 955 & 995 \
\hline y & 50 & 80 & 60 & 135 & 84 \
\hline
\end{array}$$ Given that the value of r is -0.556, should y increase as x increases, does the value of r imply that y should tend to increase, decrease, or remain the same? Explain.
A)Since r is zero, as x increases, y remains the same.
B)Since r is negative, as x increases, y decreases.
C)Since r is negative, as x increases, y increases.
D)Since r is positive, as x increases, y increases.
E)Since r is positive, as x increases, y decreases.

Question

Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? 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. Suppose a random sample of cyclones gave the following information. $$\begin{array} { c | c c c c c } 
\hline x & 1014 & 935 & 980 & 955 & 995 \
\hline y & 50 & 80 & 60 & 135 & 84 \
\hline
\end{array}$$ Given that the value of r is -0.556, should y increase as x increases, does the value of r imply that y should tend to increase, decrease, or remain the same? Explain.
A)Since r is zero, as x increases, y remains the same.
B)Since r is negative, as x increases, y decreases.
C)Since r is negative, as x increases, y increases.
D)Since r is positive, as x increases, y increases.
E)Since r is positive, as x increases, y decreases.

Quizplus · Accepted Answer

The negative value of r (-0.556) indicates a negative correlation between x and y, meaning as the lowest pressure (x) increases, the maximum wind speed (y) tends to decrease.

Can a Low Barometer Reading Be Used to Predict Maximum x1014935980955995y50806013584\begin{array} { c | c c c c c } \hline x & 1014 & 935 & 980 & 955 & 995 \\\hline y & 50 & 80 & 60 & 135 & 84 \\\hline\end{array}xy​101450​93580​98060​955135​99584​​

Can a Low Barometer Reading Be Used to Predict Maximum $\begin{array} { c | c c c c c } \hline x & 1014 & 935 & 980 & 955 & 995 \\\hline y & 50 & 80 & 60 & 135 & 84 \\\hline\end{array}$