The table below lists the height h (in cm), the age a (in years), the gender g (1="Male", 0="Female"), and the weight w (in kg) of some college students.Age GenderWeight20582181197918702253We wish to fit a linear function of the formto these data. Find the best approximation of this form, using least squares.Co=C1C₁=C₂ =JuHeight16718117817016201110f(t) = co+c₂h+c₂a + c3g

Height, h Age, a Gender, g Weight, f(t) 167 20 0 58 181 21 1 81 178 21 1 81 170 18 1 70…

Answered: The table below lists the height h (in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Use the method of least squares to fit the model to the data. Y hat= _+_x
a Z The following table lists the birth weights (in pounds), x, and the lengths (in inches), y, for a set of newborn bables at a local hospital. Answer S + H Copy Data Step 1 of 2: Find an equation of the least-squares regression line. Round your answer to three decimal places, if necessary. 3 e C $ 4 Birth Weight (in Pounds), x f Length (in Inches), y ŷ = 5 t g Birth Weights and Lengths 6 11 5 3 9 12 11 11 4 10 b 16 18 15 15 20 20 19 20 16 21 6 h hp & 7 U 8 N 9 k O O P Tables Key Subr
The table below shows the number, in thousands, of vehicles parked in the central business district of a certain city on a typical Friday as a function of the hour of the day. Hour of the day Vehicles parked(thousands) 9 A.M. 6.2 11 A.M. 7.6 1 P.M. 7.6 3 P.M. 6.7 5 P.M. 4 (a) Use regression to find a quadratic model for the data. (Let V be the number of vehicles and t be the time in hours since midnight. Round the regression parameters to three decimal places.) V= (b) Express using functional notation the number of vehicles parked on a typical Friday at 2 P.M., and then estimate that value. (Round your answer to two decimal places.) V_____= _____ thousand
The following table gives the gold medal times for every other Summer Olympics for the women's 100 meter freestyle (swimming). Year Time (seconds) 1912 82.2 1924 72.4 1932 66.8 1952 66.8 1960 61.2 1968 60.0 1976 55.65 1984 55.92 1992 54.64 2000 53.8 2008 53.1 Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.) Find the correlation coefficient r. (Round your answer to four decimal places.)r = Find the estimated gold medal time for 1924. (Use your equation from part (d). Round your answer to two decimal places.) Find the estimated gold medal time for 1992. (Use your equation from part (d). Round your answer to two decimal places.) Use the least squares line to estimate the gold medal time for the 2012 Summer Olympics. (Use your equation from part (d). Round your answer to two decimal places.) ch12#1
Use least-squares regression to fit a straight line to the following data. Calculate slope and itercept of the fit function. x 1 2 3 4 5 6 7 y 1 1.5 2 3 4 5 8

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