Question

In the previous lesson, you found the equation of a line to represent the association between latitude and temperature. This is a mathematical model. Use this mathematical model y = -1.07. + 1 119 predict the average high temperature in September at the following cities that were not included in the original data set: a. Detroit (Lat:42.14) The average high temperature in September will be: OF b. Albuquerque (Lat:35.2) The average high temperature in September will be: OF c. Nome (Lat: 64.5) The average high temperature in September will be: OF d. Peoria, Az (Lat: 33.7) The average high temperature in September will be: OF

Answer 1

Given an equation of a line to represent the association between latitude and temperature as

y = -1.07x + 1119

$\begin{gathered} \text{Let y represents Temperature, and x represents Latitude} \\ \text{Equation of line } \\ y=\text{ -1.07x + 1119} \\ \text{Average temperature in september for } \\ (a)\text{ }Detroit(Lat\colon42.14)\text{ when x =42.14} \\ y\text{ = -1.07(42.14) + 1119} \\ y\text{ = }-45.0898+1119 \\ y\text{ = 1073.91F } \\ (b)\text{ }Albuquerque(Lat\colon35.2)\text{ when x = 35.2} \\ y\text{ = -1.07(35.2) + 1119} \\ y\text{ = -37.664 + 1119} \\ y\text{ = 1081.336}F \\ (c)\text{ }Nome(Lat\colon64.5)\text{ when x = 64.5} \\ y\text{ = -1.07(64.5) + 1119} \\ y\text{ = -69.015 + 1119} \\ y\text{ = 1049.985}F \\ (d)\text{ }Peoria,Az(Lat\colon33.7)\text{ when x = 33.7} \\ y\text{ = -1.07(33.7) + 1119} \\ y\text{ = -36.059+1119} \\ y\text{ = 1082.941}F \end{gathered}$