A particular professor has noticed that the number of people, P, who complain about his attitude isdependent on the number of cups of coffee, n, he drinks. From eight days of tracking he compiledthe following data:Реople (P)119.765Cups of coffee (n)133455Unless otherwise stated, you can round values to two decimal places.a) Using regression to find a linear equation for P(n)P(n) =b) Interpret the meaning of the slope of your formula in the context of the problemc) Interpret the meaning of the P intercept in the context of the problem c) Interpret the meaning of the P intercept in the context of the problemd) Use your model to predict the number of people that will complain about his attitude if he drinks10 cups of coffee.(Round to 2 decimals)e) Is the answer to part d reasonable? Why or why not?f) How many cups of coffee should he drink so that no one will complain about his attitude? It is okto round to one decimal place.

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College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 41RE: For the following exercises, consider the data in Table 5, which shows the percent of unemployed in...

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Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
Does Table 1 represent a linear function? If so, finda linear equation that models the data.
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Find the slope ofthe line in Figure l.
For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.
For the following exercises, consider the data in Table 5, which shows the percent of unemployed ina city of people 25 years or older who are college graduates is given below, by year. 40. Based on the set of data given in Table 6, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.
The mall has a set of data with employee age (X) and the corresponding number of annual on-the-job-accidents(Y). Analysis on the set finds that the regression equation is Y=100-3X. What is the likely number of accidents for someone aged 30? 97 100 10 none of the above
A rich sports car owner wants to develop a regression equation that determines mileage as a function of the age of a car in years. He collects the data shown below for the 12 cars he has on his lot. Age Mileage 7 52654 4 49300 13 113671 7 63001 7 69850 7 68048 12 106979 8 82719 7 80894 10 109258 14 149804 8 98915 a) What is the slope of the regression equation? Give your answer to two decimal places. i got 9157.61 correctb) What is the value of the correlation coefficient? Give your answer to two decimal places. i got 0.92 correct c) A 4 year old car is delivered to his lot with 160000 miles. Manually enter these values in the data table above and rerun the regression analysis. What is the value of the slope? i got 10203.66 but that was wrong d) Including the additional car, what is the value of the correlation coefficient? i got 0.924 but that was wrong. only c and d need to be answered.
Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package measured in ounces. You want to try to predict the cost of a typical shipment given package dimensions. If 10 packages in a city are sampled and the regression output is given below, report the regression equation. 1) (cost of delivery) = 1.468*(weight) - 23.015 2) (weight) = -23.015*(cost of delivery) + 1.468 3) (cost of delivery) = -23.015*(weight) + 1.468 4) (cost of delivery) = 1.468*(weight) 5) (weight) = 1.468*(cost of delivery) - 23.015
The manager of a concert venue wants to determine a model for the total number of tickets sold each day for an upcoming concert. She collects the data in the following table. Total Number of Tickets Month Sold 1 20 a) Sketch a scatter plot of the data using the DESMOS graphing calculator on the next page 338 3. 439 b) On the next page on DESMOS graphing calculator, generate an exponential model for this data using a regression equation 571 743 964 a) Sketch a scatter plot of the data using the DESMOS graphing calculator on the next page b) On the next page on DESMOS graphing calculator, generate an exponential model for this data using a regression equation. c) Write the equation of the exponential model using the DESMOS graph? d) Use the DESMOS graph to predict how many tickets will be sold after 12 days. e) Use DESMOS to predict how many days after tickets go on sale the company will sell 5000 tickets

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