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Situation: The Ipod Touch has been out for two years now and a lot of data has been collected. Relevant Relationship: There is a functional

Situation: The Ipod Touch has been out for two years now and a lot of data has been collected.

Relevant Relationship:

There is a functional relationship between Price of an IPod Touch,and Weekly Demand,s

Below is a table of data that have been collected

Price,p,($) Weekly Demand,s,(1,000s)

150 210

170 204

190 194

210 184

230 176

250 169

A.. Find the linear model that best fits this data using regression and enter the model below

(for entry round the linear parameter value to nearest 0.01 and constant parameter to nearest 1)

s=T(p)=

B. The squared correlation coefficientr2 wasSelect an answer below above0.95

(note: values less than 0.95 MAY mean the model is not appropriate for making predictions)

Now answer these two questions using the UNROUNDED model parameters

C. What does the model predict will be the weekly demand if the price of an ipod touch is $241 ?(nearest 100)

D. According to the model at what should the price be set in order to have a weekly demand of 183,100 ipod Touches? $(nearest $1)

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X 1 2 3 4 5 6 y 523 546 575 617 580 635 Use linear regression to find the equation for the linear function that best fits this data. Round parameters to two decimal places. y =Run a regression analysis on the following data set with y as the response variable. X y 77.9 9.6 67.2 16.9 80.3 -2.2 58.7 29.9 80.9 -7.9 37 57.3 51.9 30.2 42.5 34.6 What is the predicted value of the response variable when the explanatory variable has value 80.5? y = Round to 1 decimal place.The percentages of police officers who are women are listed in the table for various city populations. City Population City Population Used to Represent City Population (in thousands) thousands) Percent 0-9.999 5 8.3 10-24.999 17.5 7.5 25-49.999 37.5 8.5 50-99.999 75 9.4 100-249.999 175 11.7 250 or more 300 17 Source: FBI Uniform Crime Report Let f(n) be the percentage of police officers who are women in cities with populations of n thousand. A model of the situation is f(n) = 0.00006n2 + 0.012n + 7.884. Use a graphing calculator to draw the graph of the model and, in the same viewing window, the scattergram of the data. Does the model fit the data well? O The function is a good model for the data. The function is not a good model for the data Glen Ellyn, Illinois, has a population of 66.23 thousand. Estimate the percentage of police officers in Glen Ellyn who are women. Round to 1 decimal place. Find n when f (n) = 11. n Round each to 1 decimal place.The capacities at which U.S. nuclear power plants are working are shown in table for various years. Year Percent 1975 56 1980 59 1985 58 1990 70 1995 76 2000 88 2004 89 Let f(t) be the capacity (in percent) at which U.S. nuclear power plants are working at t years since 1970. A model of the situation is f(t) = 0.027t + 0.216t + 53.296. Use a graphing calculator to draw the graph of the model and, in the same viewing window, the scattergram of the data. Does the model fit the data well? The function is not a good model for the data O The function is a good model for the data. Estimate at what capacity U. S. nuclear power plants were working in 2008. % Round to the nearest whole percent. Predict when U. S. nuclear power plants will be working at full (100%) capacity. Enter the year this occurs.The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.3 8.5 6.6 3.4 2.5 2.6 2.6 0.3 y 13.3 11.6 9.8 6.9 6.2 6.1 6.3 4 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.86x + 3.97. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Use the equation with the values rounded to two decimal places to make your predictions. A) How many murders per 100,000 residents can be expected in a state with 6.6 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 10.3 thousand automatic weapons? Answer = Round to 3 decimal places.The following is data for the first and second Quiz scores for 8 students in a class. First Quiz Second Quiz 13 10 16 12 20 16 29 27 39 33 43 41 46 42 50 43 Plot the points in the grid below. 50 45 40 35 30 25 20 15 10 5 5 10 15 20 25 30 35 40 45 50 Clear All Draw: Dot Predict the value of the second quiz score if a student had a score of 27 on the first quiz

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