1. You randomly survey people in the mall about whether or not they regularly use text...
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1. You randomly survey people in the mall about whether or not they regularly use text messaging. The results are shown in the tally sheets below based on the people's ages. Texts Regularly Age Tally 20-29 HY THE HY THE HHT AT 30-39 THAT THAT T 40-49 || O Age Does Not Text Regularly Tally 20-29 30-39 40-49 a. Make a two-way table that includes the marginal frequencies. b. Make a two-way table that shows both the joint and marginal relative frequencies. Round to the nearest hundredth, if necessary. c. What is the probability that someone who is between the ages of 20-29 also texts regularly? d. What is the probability that someone who is between the ages of 40-49 also texts regularly? e. Does the data show a relationship between age and texting? Explain. 2. The data below represents the number of hits on your web site over 10 months x 1 2 3 4 5 6 7 8 9 10 y 22 39 70 126 227 408 735 1322 2380 4285 a. Make a scatter plot of In y versus x. Use the scatter plot to find the equation for the line of best fit. b. Make a scatter plot of In y versus In x. Use the scatter plot to find the equation for the line of best fit. C. Based on your answers in part a and b, would an exponential model or a power model be better to represent this data? Explain. d. Use your answers from parts a and b to find an exponential model and a power model to represent this data by hand. e. f. Use the regression feature on your calculator to find an exponential model and a power model to represent this data. Use your answer from parts c and d to make the best estimate for the number of hits your web site will have in 12 months. 1. You randomly survey people in the mall about whether or not they regularly use text messaging. The results are shown in the tally sheets below based on the people's ages. Texts Regularly Age Tally 20-29 HY THE HY THE HHT AT 30-39 THAT THAT T 40-49 || O Age Does Not Text Regularly Tally 20-29 30-39 40-49 a. Make a two-way table that includes the marginal frequencies. b. Make a two-way table that shows both the joint and marginal relative frequencies. Round to the nearest hundredth, if necessary. c. What is the probability that someone who is between the ages of 20-29 also texts regularly? d. What is the probability that someone who is between the ages of 40-49 also texts regularly? e. Does the data show a relationship between age and texting? Explain. 2. The data below represents the number of hits on your web site over 10 months x 1 2 3 4 5 6 7 8 9 10 y 22 39 70 126 227 408 735 1322 2380 4285 a. Make a scatter plot of In y versus x. Use the scatter plot to find the equation for the line of best fit. b. Make a scatter plot of In y versus In x. Use the scatter plot to find the equation for the line of best fit. C. Based on your answers in part a and b, would an exponential model or a power model be better to represent this data? Explain. d. Use your answers from parts a and b to find an exponential model and a power model to represent this data by hand. e. f. Use the regression feature on your calculator to find an exponential model and a power model to represent this data. Use your answer from parts c and d to make the best estimate for the number of hits your web site will have in 12 months.
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