Section 3: HomeworkaPremiumAgePremiumAge39169154221533817023152401722515341170261565422129311585622542182522204318059232461795723052205582405721060249582154820032161471803516050191a. Which variable is the independent variable? X aeb. Which variable is the dependent variable?PremiumC. Is a linear model appropriate? If so, justify. If not, what type of model, if any, would be mostappropriate?Yes

Given: Age (x) Premium (y) 22 154 23 153 25 152 26 153 29 156 31 158 42 182 43…

Answered: Section 3! Premium Age Premium Age 22…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The table shows the numbers B (in thousands) of bachelor's degrees earned by women in the United States from 2002 through 2013 (Source: National Center for Education Statistics). Bachelor's degrees, B DATA Year 2002 2003 742 776 2004 804 2005 2006 2007 826 855 875 2008 895 2009 916 943 2010 2011 982 1026 2012 2013 1053 A linear model for the data is B(t) = 26.9t + 689, 2 < t < 13, where t represents the year, witht = 2 corresponding to 2002. (1) What re the slope and y-intercept of the model? Interpret their meaning in the context of the problem. (2) Use the model to approximte the number of bachelor's degrees earned by women for year 2011. Compare the estimates to the actual data. Is the model a good fit for the data? Spreadsheet at LanonPrecalculus.com
A study was conducted to determine whether the final grade of a student in an introductory psychology course is linearly related to his or her performance on the verbal ability test administered before college entrance. The verbal scores and final grades for all 10 students in the class are shown in the table below. Student Verbal Score x Final Grade y 1 68 84 2 47 97 3 80 75 26 68 5 73 93 46 90 7 49 76 8 77 79 9 51 74 10 66 82 Find the following: (a) The correlation coefficient: r = (b) The least squares line: ŷ = (c) Calculate the residual for the fourth student:
STUDENT ID SLEEP (x) HOMEWORK (y) 1 360 30 2 400 45 3 420 60 4 440 15 5 540 75 6 480 120 7 320 80 8 440 60 9 300 90 10 420 30 11 500 60 12 400 20 13 440 60 14 300 30 15 360 80 16 480 100 17 410 25 18 430 15 19 330 60 20 480 30 Calculate the simple linear regression to determine the amount of time spent on homework can be predicted by amount of sleep. Graph the relationship and determine, numerically, if there are any outliers. In a paragraph, interpret all results.
The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. grams Vitamin C content in mg 55 11.9 60 13.7 65 15.9 70 18.5 75 20.8 80 23 85 25.8 A) Find the regression equation: places y= + Round your answers to 3 decimal B) Answer the following questions using your un-rounded regression equation. If we test 115 grams of raspberries what is the expected Vitamin C content? nearest tenth) mg (round to the
The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. grams Vitamin Ccontent in mg 75 20.3 90 28.1 105 34.6 120 40.6 135 48.2 150 55.6 165 60 A) Find the regression equation: y=y= x+x+ Round your answers to 3 decimal places B) Answer the following questions using your un-rounded regression equation. If we test 195 grams of raspberries what is the expected Vitamin C content? mgmg (round to the nearest tenth)
7
The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. grams 50 60 70 80 90 100 110 Vitamin C content in mg 9.3 14.3 18.9 23.5 27.5 31.7 36.9 A) Find the regression equation: y = places x + Round your answers to 3 decimal B) Answer the following questions using your un-rounded regression equation. If we test 140 grams of raspberries what is the expected Vitamin C content? nearest tenth) mg (round to the
The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. Vitamin C content in mg grams 45 7.3 55 11.5 65 15.9 75 20.3 85 25.8 95 29.2 105 33.9 A) Find the regression equation: y = Round your answers to 3 decimal places B) Answer the following questions using your un-rounded regression equation. If we test 135 grams of raspberries what is the expected Vitamin C content? mg (round to the nearest tenth)
Day Highest Temperature Lowest Temperature Thursday 07/07 24 Degree 14 Degree Friday 08/07 27 Degree 15 Degree Saturday 09/07 25 Degree 15 Degree Sunday 10/07 27 Degree 16 Degree Monday 11/07 29 Degree 16 Degree Tuesday 12/07 31 Degree 17 Degree Wednesday 13/07 29 Degree 15 Degree Thursday 14/07 28 Degree 16 Degree Friday 15/07 28 Degree 17 Degree Saturday 16/07 29 Degree 18 Degree For the data above , use the linear forecasting model which is y = mx + c to calculate and discuss the followings: Show the steps of calculation of m value and discuss the answer. Show the steps of calculation of c value and discuss the answer. Using the calculated 'm' and 'c' values, forecast the temperature for day 11 and day 14. Hint - Use the following formulas to calculate the ‘m’ and ‘c’ values. m = c =
The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. grams Vitamin Ccontent in mg 65 16.4 75 20.8 85 24.7 95 30 105 34.9 115 39.5 125 43.7 A) Find the regression equation: y=y= x+x+ Round your answers to 3 decimal places B) Answer the following questions using your un-rounded regression equation. If we test 155 grams of raspberries what is the expected Vitamin C content? mgmg (round to the nearest tenth)

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