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College Algebra

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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The following data gives the number of hours 10 students spent studying and their corresponding grades on their midterm exams.

Hours Spent Studying	0	0.5	1.5	2	2.5	3	3.5	4	4.5	5.5
Midterm Grades	63	66	69	75	78	81	84	87	90	96

It the data is statistically significant at the 0.05 level, find the estimated value of y when x = 6. Round your answer to three decimal places.

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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.
Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
The data below give the amount of money spent on fast food by 15 individuals over a one week period. Calculate the percentile rank of 39 and 18. Round solutions to one decimal place, if necessary. 11 16 18 18 19 22 27 28 39 39 40 40 42 42 53 Percentile Rank of 39 = Incorrect% Percentile Rank of 18 = %
Use the data from the Organize the Data section to calculate the following answers. Round your answers to four decimal places. (Here “RF” represents the Relative Frequencies from the first table.) RF(x = 3) = _______________________ RF(1 < x < 4) = _______________________ RF(x ≥ 8) = _______________________
The following data are the number of years of full-time education (x) and the annual salary in thousands of dollars (y) for 15 persons. Education 20 26 29 18 12 17 8 15 Salary 35.2 24.5 23.6 33.2 24.5 33.5 11.2 32.3 Education 17 13 13 18 17 15 13 Salary 25.1 22.2 18.9 37.8 25.8 28.5 29.6 Find the best-fitting line for the data. (Round your values to three decimal places.) y' =
Consider the following data relating hours spent studying (X) and average grade on course quizzes (Y): X Y 5 6 3 8 4 8 7 10 5 7 6 9 Compute SP (equation below) 420 5 6 17
Given the following data, use exponential smoothing with α=0.1 and α=0.6 to generate forecasts for periods 2 through 6. Use Mad and MEE to decide which of the two models produce a netter forecast. (Assume the forecast for Period 1 is 17) Period Actual Forecast 1 14 17 2 16 3 16 4 11 5 12 6 17 a.What is the forecast for Period 6 when you use α=0.6? (Express it to 2 decimal places) Answer: b.What is the value of Mean Absolute Deviation (MAD) when α=0.6? Calculate to 3 decimal places. (Use all forecasted values from Period 1 to Period 6.) Answer: c.Which method produces a better forecast? (Use all forecasted values from Period 1 to Period 6.) Select one: α=0.1 produces a better forecast measured both by MAD and MSE. When we use MAD, α=0.1 produces a better forecast. When we use MSE, α=0.1 produces a better forecast. α=0.6 produces a better forecast measured both by MAD and MSE.
Consider the following data relating hours spent studying (X) and average grade on course quizzes (Y): X Y 5 6 3 8 4 8 7 10 5 7 6 9 Compute ΣXY
From the data given below, calculate Yule's coefficient of association between weight of children and their economic condition, and interpret it. Rich Children Poor Children Below Normal weight 75 23 Above Normal weight 42 42
Consider the following data relating hours spent studying (X) and average grade on course quizzes (Y): X Y 5 6 3 8 4 8 7 10 5 7 6 9 From these observations, can we conclude that hours spent studying caused increases in quiz grades?

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