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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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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.
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.
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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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