Question

According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:

Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6

Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.001.
a.
y = 67.577 sine (0.500 x minus 1.959) + 20.077
b.
y = 20.077 sine (0.500 x minus 1.959) + 67.577
c.
y = 20.077 sine (1.959 x minus 0.500) + 67.577
d.
y = 20.077 sine (67.577 x minus 1.959) + 0.500

Answer 1

Explanation:

the dude above me is right

Answer 2

• b. y = 20.077 sin(0.500x - 1.959) + 67.577

Explanation:

The easiest way to solve

• 1. Plot the points for one year
• 2. Add the functions to same graph and compare

This gave us the option B as the best fit line

See the graph below