Question

MATLAB Activity #6 18. The following data is given: x = [2 5 6 8 9 13 15]; y = [7 8 10 11 12 14 15]; \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline x & 2 & 5 & 6 & 8 & 9 & 13 & 15 \\ \hline y & 7 & 8 & 10 & 11 & 12 & 14 & 15 \\ \hline \end{tabular} (a) Use linear least-squares regression to determine the coefficients $m$ and $b$ in the function $y = mx + b$ that best fits the data. (b) Make a plot that shows the function and the data points. 19. The boiling temperature of water $T_b$ at various altitudes $h$ is given in the fol- lowing table. Determine a linear equation in the form $T_b = mh + b$ that best fits the data. Use the equation for calculating the boiling temperature at 5,000 m. Make a plot of the points and the equation. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline h (m) & 0 & 600 & 1500 & 2300 & 3000 & 6100 & 7900 \\ \hline $T$ (°C) & 100 & 98.8 & 95.1 & 92.2 & 90 & 81.2 & 75.6 \\ \hline \end{tabular} hsi = [0 600 1500 2300 3000 6100 7900]; Tsi = [100 98.8 95.1 92.2 90 81.2 75.6];

          MATLAB Activity #6
18. The following data is given:
x = [2 5 6 8 9 13 15];
y = [7 8 10 11 12 14 15];
\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline
x & 2 & 5 & 6 & 8 & 9 & 13 & 15 \\
\hline
y & 7 & 8 & 10 & 11 & 12 & 14 & 15 \\
\hline
\end{tabular}
(a) Use linear least-squares regression to determine the coefficients $m$ and $b$ in the
function $y = mx + b$ that best fits the data.
(b) Make a plot that shows the function and the data points.
19. The boiling temperature of water $T_b$ at various altitudes $h$ is given in the fol-
lowing table. Determine a linear equation in the form $T_b = mh + b$ that best
fits the data. Use the equation for calculating the boiling temperature at
5,000 m. Make a plot of the points and the equation.
\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline
h (m) & 0 & 600 & 1500 & 2300 & 3000 & 6100 & 7900 \\
\hline
$T$ (°C) & 100 & 98.8 & 95.1 & 92.2 & 90 & 81.2 & 75.6 \\
\hline
\end{tabular}
hsi = [0 600 1500 2300 3000 6100 7900];
Tsi = [100 98.8 95.1 92.2 90 81.2 75.6];

MATLAB Activity #6
18. The following data is given:
x = [2 5 6 8 9 13 15];
y = [7 8 10 11 12 14 15];

x 2 5 6 8 9 13 15

y 7 8 10 11 12 14 15

(a) Use linear least-squares regression to determine the coefficients m and b in the
function y = mx + b that best fits the data.
(b) Make a plot that shows the function and the data points.
19. The boiling temperature of water Tb at various altitudes h is given in the fol-
lowing table. Determine a linear equation in the form Tb = mh + b that best
fits the data. Use the equation for calculating the boiling temperature at
5,000 m. Make a plot of the points and the equation.

h (m) 0 600 1500 2300 3000 6100 7900

T (°C) 100 98.8 95.1 92.2 90 81.2 75.6

hsi = [0 600 1500 2300 3000 6100 7900];
Tsi = [100 98.8 95.1 92.2 90 81.2 75.6];

Added by Todd G.

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