AIR MATH

Math Question

The table shows the wind speed \( y \) (in mph) of a hurricane versus the barometric pressure \( x \) (in mb).
\begin{tabular}{|c|c|}
\hline Barometric Pressure \( (\mathbf{m b})(\mathbf{x}) \) & Wind Speed \( (\mathbf{m p h})(\mathbf{y}) \) \\
\hline 1007 & 35 \\
\hline 1003 & 45 \\
\hline 1000 & 50 \\
\hline 994 & 65 \\
\hline 983 & 80 \\
\hline 968 & 100 \\
\hline 950 & 110 \\
\hline 930 & 145 \\
\hline 905 & 160 \\
\hline
\end{tabular}
(a) Use the data in the table to find the least-squares regression line. Round the slope to two decimal places and the \( y \)-intercept to the nearest whole unit.
(b) Use a graphing utility to graph the regression line and the observed data, then choose the correct graph from the options below.
(c) Use the model in part (a) to approximate the wind speed of a hurricane with barometric pressure of 980 mb. Round to the nearest mph.
Part: \( 0 / 3 \)
Part 1 of 3
(a) Use the data in the table to find the least-squares regression line. Round the slope to two decimal places and the \( y \)-intercept to the nearest whole unit. The equation for the least-squares regression line is \( y= \)

Solution

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