A researcher wanted to determine if there was a relationship between new home sales (X) and appliance sales (Y) so data were gathered from 12 cities from the previous 6 months (so 12 data points total). The sum of the new home sales data is 27,475 and when each home sale value is squared and then summed, the resulting sum is 71,956,679. The sum of the appliance sales data is 4,327 and when each of the appliance sale value is squared and then summed, the resulting sum is 1,658,229. The sum(XY) ... each X data point multiplied by its corresponding Y and then summed ... is 10,577,323. Using this information, calculate SSxx, SSyy, SSxy, the slope of the regression line, the standard error of the slope and construct a 99% confidence interval for the true (unobservable) population slope. Data for this problem are expressed in millions.

Find the slope of the line below . enter your answer as a fraction or decimal. use a slash mark ( / ) as the fraction bar if necessary

Given right triangle xyz, which correctly describes the locations of the sides in relation to

Airplane speeds are measured in three different ways: (1) indicated speed, (2) true speed, and (3) ground speed. the indicated airspeed is the airspeed given by an instrument called an airspeed indicator. a plane’s indicated airspeed is different from its true airspeed because the indicator is affected by temperature changes and different altitudes of air pressure. the true airspeed is the speed of the airplane relative to the wind. ground speed is the speed of the airplane relative to the ground. for example, a plane flying at a true airspeed of 150 knots into a headwind of 25 knots will have a ground speed of 125 knots. the problems below refer to static and dynamic pressure. static pressure is used when a body is in motion or at rest at a constant speed and direction. dynamic pressure is used when a body in motion changes speed or direction or both. a gauge compares these pressures, giving pilots an indicated airspeed. in problem #s 1 and 2, use the following information. the indicated airspeed s (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures. the relationship between s and p can be modeled by s=136.4p√+4.5. 1. find the differential pressure when the indicated airspeed is 157 knots. 2. find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to195 knots. in problem #s 3 and 4, use the following information. the true airspeed t (in knots) of an airplane can be modeled by t=(1+a50,000) ⋅ s, where a is the altitude (in feet) and s is the indicated airspeed (in knots). 3. write the equation for true airspeed t in terms of altitude and differential pressure p. 4. a plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. estimate the differential pressure. explain why you think your estimate is correct.