1. a. What is the independent variable and what are its units? b. What is the dependent variable and what are its units?
1. a. What is the independent variable and what are its units? b. What is the dependent variable and what are its units?
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Transcribed Image Text:You might have noticed that the numbers, or frequencies, on an old radio dial are not evenly spaced. There
is, however, some pattern to the placement of these frequencies. You will analyze this data and answer
the following questions.
FM 88 92 96 100 104 108 MC
AM 54 60 70 90 120 160 KC
AM
54 60
70 80 100 120 140160 KHZD
LOG
SCALE
FM 8
92
96 100 103 106
108 MHZ
frequency reading on the radio dial (kilohertz)
distance from the left end of the radio dial (centimeters)
1.20
2.10
53
60
70
3.00
3.65
4.60
80
100
120
5.50
6.20
7.20
140
170
1. a. What is the independent variable and what are its units?
b. What is the dependent variable and what are its units?
2. Make a scatter plot of the data using www.desmos.com/calculator.
a. Describe the data set based on the scatter plot.
b. What do you expect to happen to the distance from the left end of the radio as the frequency gets higher?
c. What do you expect to happen to the distance from the left end of the radio as the frequency gets smaller?
d. Using www.desmos.com/calculator, find the logarithmic model. In desmos.com click on the + sign and
use one of these equations as your base: y1-alog(xs)+k or yr-aln(x1)+k. Then write down the best fit
curve for the data.
4. a. Where on your radio dial would you find a station with a frequency of 93.3? Show work to justify your
answer.
b. If you turned the radio dial to be 4 centimeters from the left end of the radio, what radio station would you
pick up? Show work to justify your answer.
Expert Solution
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Dear Student, as the question consists of multiple questions with multiple subparts, I am only allowed to do the 1st question according to the guidelines of Bartleby. If you want other answers I can help you, but you have to post it differently.
1a) Here the independent variable is the frequency and its unit is kilohertz.
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