Question

Question 1 4 pts 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 = -1.07x + 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: PF d. Peoria, Az (Lat: 33.7) The average high temperature in September will be: OF Question 2 4 pts

Answer 1

ANSWER:

a. 73.91 °F

b. 81.34 °F

c. 49.99 °F

d. 82.94 °F

STEP-BY-STEP EXPLANATION:

We have the following mathematical model that predicts the temperature depending on the latitude:

$\begin{gathered} y=-1.07x+119 \\ \text{where x is the latitude and y is the temperature} \end{gathered}$

Therefore:

a.

$\begin{gathered} y=-1.07\cdot42.14+119 \\ y=73.91 \end{gathered}$

b.

$\begin{gathered} y=-1.07\cdot35.2+119 \\ y=81.34 \end{gathered}$

c.

$\begin{gathered} y=-1.07\cdot64.5+119 \\ y=49.99 \end{gathered}$

d.

$\begin{gathered} y=-1.07\cdot33.7+119 \\ y=82.94 \end{gathered}$