A regression was done for 20 cities with latitude as the explanatory variable (x) and average january temperature as the respons
e variable (y). the latitude is measured in degrees and average january temperature in degrees fahrenheit. the latitudes ranged from 26 (miami) to 47 (duluth) .the regression equation is y = 49.4 – 0.313 x . the city of pittsburgh, pennsylvania has latitude 40 degrees with average january temperature of 25 degrees fahrenheit. what is the estimated average january temperature for pittsburgh, based on the regression equation?
<span>According to the regression formula, y = 49.4 - 0.313 x, where x represents latitude and y indicates the average estimated temperature in January, the anticipated temperature for Pittsburgh, located at a latitude of 40, is calculated as 49.4 - (0.313 * 40), resulting in approximately 36.88 degrees Fahrenheit. This is a difference of 11.88 degrees Fahrenheit when compared to the recorded measurement of 25 degrees Fahrenheit for January temperatures in Pittsburgh.</span>
The two lines are perpendicular since y = -6 represents a horizontal line characterized by a slope of 0, while x = 6 depicts a vertical line with an undefined slope.
