Business College EnrollmentThe percentage of female high school graduates who enrolled in college is given in the table below.YearCollege Enrollment Percentages for Females25.5198030.306645.6201050.5Let x represent time (in years) since 1970, and let y represent the corresponding percentage offemale high school graduates who enrolled in college.Find the cubic regression modely = F(x) = ax³ + ba? + cæ + d,where a is rounded to 6 decimal places, b is rounded to 4 decimal places, c is rounded to 3 decimalplaces, and d is rounded to 1 decimal place.Use this model to answer the questions below.Use the model to predict the percentage of female high school graduates in 2015. Round to thenearest tenth (1 decimal place).Use the model to predict instantaneous rate of change of the percentage of female high schoolgraduates in 2015. Round to the nearest hundredth (2 decimal places).% per yearNOTE: Your answer may be negative.(Ctrl) -igate

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Answered: College Enrollment The percentage of…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 33EQ

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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x y 11.8 14.2 8.4 11.37.1 9.83.9 72.6 5.92.5 6.12.1 5.70.5 4.2 x= thousands of automatic weaponsy = murders per 100,000 residents Determine the regression equation in y = ax + b form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 2.2 thousand automatic weapons?Answer = . Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 1.9 thousand automatic weapons?Answer = .Round to 3 decimal places.
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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.7 8.6 6.7 3.5 2.3 2.6 2.2 0.7 yy 14 11 10 7 6.1 6.4 5.9 4.3 xx = thousands of automatic weaponsyy = murders per 100,000 residentsDetermine the regression equation in y = ax + b form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 6.5 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 11 thousand automatic weapons? Answer = Round to 3 decimal places.
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