The scatter plot below shows data comparing wind speed and wind chill for an air temperature of 20°F. Use the scatter plot for Exs. 3-5. 1. Draw a trend line for the scatter plot. 2. Write an equation for your trend line. 3. Use your equation to predict the wind chill to the nearest degree for a wind speed of 60 mi/h.
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Step 1
To draw a trend line for the scatter plot, we need to find the line that best fits the data points. This line should represent the general trend or pattern in the data. We can do this by visually estimating the line that passes through the majority of the data Show more…
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The accompanying table shows wind speed and the corresponding wind chill factor when the air temperature is 13°F. Write a logarithmic regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, find the wind chill factor, to the nearest degree, when the wind speed is 20 miles per hour. Wind Speed in MPH (x) Wind Chill in °F (y) 1 12 4 6 5 5 6 4 7 3 9 2 10 1 Copy Values for Calculator Open Statistics Calculator Regression Equation: Final Answer: Submit Answer
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Wind Chill Factor The wind chill factor depends on wind speed and air temperature. The following data represent the wind speed (in mph) and wind chill factor at an air temperature of $15^{\circ}$ Fahrenheit. (a) Draw a scatter diagram of the data treating wind speed as the explanatory variable. (b) Determine the correlation between wind speed and wind chill factor. Does this imply a linear relation between wind speed and wind chill factor? (c) Compute the least-squares regression line. (d) Plot the residuals against the wind speed. (e) Do you think the least-squares regression line is a good model? Why?
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The wind chill factor depends on wind speed and air temperature. The following data represent the wind speed (in mph) and wind chill factor at an air temperature of $15^{\circ}$ Fahrenheit. $$ \begin{array}{cc|cc} \begin{array}{l} \text { Wind } \\ \text { Speed, } x \\ (\mathrm{mph}) \end{array} & \begin{array}{l} \text { Wind Chill } \\ \text { Factor, } y \end{array} & \begin{array}{l} \text { Wind } \\ \text { Speed, } x \\ (\mathrm{mph}) \end{array} & \begin{array}{l} \text { Wind Chill } \\ \text { Factor, } y \end{array} \\ \hline 5 & 12 & 25 & -22 \\ \hline 10 & -3 & 30 & -25 \\ \hline 15 & -11 & 35 & -27 \\ \hline 20 & -17 & & \\ \hline \end{array} $$ (a) Draw a scatter diagram of the data treating wind speed as the explanatory variable. (b) Determine the correlation between wind speed and wind chill factor. Does this imply a linear relation between wind speed and wind chill factor? (c) Compute the least-squares regression line. (d) Plot the residuals against the wind speed. (e) Do you think the least-squares regression line is a good model? Why?
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