If you have been outside on a cold windy day, you have experienced wind chill. Wind chill is the temperature that our bodies feel when the wind blows on our skin on a cold day. When we experience wind chill, the temperature seems, to our bodies, to be colder than it actually is. Wind chill can be very dangerous. Meteorologists predict the temperature and wind chill to prepare people for how it feels outside. For example, people need to know the wind chill as they dress for the day. The table below displays wind chills for various wind speeds when the outside temperature is 15.F. 8A) Find the least-squares line y = a + bx using the statistics in the following table. The formula for the slope and y-intercept of the least-squares line is given below. Statistics Mean Standard Deviation Wind Speed, x 17.5 9.35 Wind Chill, y -11 14.09 correlation, r = -0.97. The slope a = r . Sy = round to 2 decimals type only a number y-intercept: b = y - ax = round to 2 decimals type only a number 8B) Use the least-square line to predict the wind chill for the wind speeds listed below. The calculate the residuals. x=wind speed (mph) y=wind chill ( F ) Predicted Value, y Residual, ) - 7 5 12 7.25 4.75 10 -2 0.05 -1.95 15 -11 3.65 20 -17 14.65 25 -22 -21.95 0.05 30 - 26 -29.25 3.25 8D) Based on the residual plot (Plot 8C), do you think the LSR line is an appropriate model? Note: A pattern in the residual plot indicates that the linear model is not a necessarily a good fit. No, the LSR line is a good model. There is a pattern in the residual plot. Yes, the LSR line is a good model. There is a pattern in the residual plot