Microtubules are tubular structures in the cytoplasm of cells that can elongate and form more complex structures but can undergo catastrophic collapse as they get longer within the cell. Suppose the rate of catastrophe (per minute) was thought to be an exponential model of relative length of the microtubules (fraction of cell half-length) based on the following data:Fraction of Cell Half-Length0.210.280.340.420.470.520.550.590.620.710.790.810.859.29.8Catastrophe Rate0.10530.13440.14860.17030.19000.21100.21820.23310.25570.29900.34760.35870.38320.43710.4819Transform the data correctly to perform a linear least-squares regression, then report your model as y=cekxy=cekx. Estimate the catastrophe rate when the microtubule is 0.30 of the cell half-length.

Given: n = 15 Formula Used: Least-square regression model is: Y = a + bX Where, a is Intercept b is…

Answered: Microtubules are tubular structures in…

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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Microtubules are tubular structures in the cytoplasm of cells that can elongate and form more complex structures but can undergo catastrophic collapse as they get longer within the cell. Suppose the rate of catastrophe (per minute) was thought to be an exponential model of relative length of the microtubules (fraction of cell half-length) based on the following data:

Fraction of Cell Half-Length	0.21	0.28	0.34	0.42	0.47	0.52	0.55	0.59	0.62	0.71	0.79	0.81	0.85	9.2	9.8
Catastrophe Rate	0.1053	0.1344	0.1486	0.1703	0.1900	0.2110	0.2182	0.2331	0.2557	0.2990	0.3476	0.3587	0.3832	0.4371	0.4819

Transform the data correctly to perform a linear least-squares regression, then report your model as y=cekxy=cekx. Estimate the catastrophe rate when the microtubule is 0.30 of the cell half-length.

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