Find the linear "best fit" (with the accuracy of 3 decimal digits) of the formz = ax + byto the following data:10y 2.8Z 3.3X12.04.7121.531.04.9 5.240.25.0

The given data, x 0 1 2 3 4 y 2.8 2.0 1.5 1.0 0.2 z 3.3 4.7 4.9 5.2 5.0 We have to find…

Answered: Find the linear "best fit" (with the…

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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A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: ŷ = a + bx a = 36.694 b = 0.874 R = = 0.923521 a) Use this to predict the number of situps a person who watches 0.5 hours of TV can e do (to 3 decimal places) b) What is the value of the correlation coefficient (to 3 decimal places) ? Priv Terr ост 21 MacBook Pro esc F1 F2 F3 F4 F5
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.971 b=21.794 r²-0.872356 r=-0.934 Use this to predict the number of situps a person who watches 5 hours of TV can do (to one decimal place)
The horsepower (Y, in bhp) of a motor car engine was measured at a chosen set of values of running speed (X, in rpm). The data are given below (the first row is the running speed in rpm and the second row is the horsepower in bhp): rpm 1100 1400 1700 2300 2700 3200 3500 4000 4600 5200 5600 6100 Horsepower (bhp) 50.2 64.29 67.83 98.56 131.09 163.65 161.55 198.62 226.03 254.71 283.63 299.81 The mean and sum of squares of the rpm are 3450.0000 rpm and 173900000.0000 rpm 22 respectively; the mean of the horsepower values is 166.6642 bhp and the sum of the products of the two variables is 8506152.0000 rpm bhp. Given Values: a) Slope: 0.052 b) Intercept: -11.694 c) 95% Confidence Interval when the standard error of the estimate of the slope coefficient was found to be 0.001160: (0.0494, 0.0546) please answer the following: Part e)Without extending beyond the existing range of speed values or changing the number of observations, we would expect that increasing the variance of the…
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A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y = a x + b a = -1.043 b = 29.088 %3D %3! r2 = 0.390625 r = -0.625 Use this to predict the number of situps a person who watches 6.5 hours of TV can do. situps : %3D [one decimal accuracy1
Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. x days 75 79 35 91 203 y km/100 14.2 19.1 5.8 11.2 35.4 (a) Verify that Σx = 483, Σy = 85.7, Σx2 = 62,581, Σy2 = 1978.69, Σxy = 10982.3, and r ≈ 0.94895. Σx Σy Σx2 Σy2 Σxy r (b) Use a 1% level of significance to test the claim ρ > 0. (Use 2 decimal places.) t critical t (c) Verify that Se ≈ 4.1118, a ≈ 0.7378, and b ≈ 0.1698. Se a b

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Find the linear "best fit" (with the accuracy of 3 decimal digits) of the form z = ax + by to the following data: 10 ly 2.8 3.3 X N 1 2.0 2 1.5 4.7 4.9 3 1.0 5.2 4 0.2 5.0