Matlab code....***to answer, MATLAB software is needed.****Q1 Given the followin

Question

Matlab code....***to answer, MATLAB software is needed.****Q1

Given the following data:

x=[0 5 10 15 20 25   30]

y=[ 0   358.27        684.56       827.73       843.51         786.98        696.01]

z=[0    71.653       68.456      55.182         42.176        31.479        23.2]

Using MATLAB, respond the following:
(i) Use regression analysis to fit a parabola to y as a function of x and plot the parabola (line only) and the data (symbols only).(DO NOT USE polyfit)

ii) Use regression analysis to fit a 4th-order polynomial to z as a function of x and plot the results.(DO NOT USE polyfit.)

(iii) Calculate the correlation coefficients of the analyses in (i) and (ii).

Please see bellow analytical part. I need a MATLAB script please.

data X 5 10 15 20 30 G15 9 o 35813 65456 1 653 68 55.182 be hold a by t 358, a 684.56 e 100a boat 106- 68 S6 s 100 at 90 b 433.08 O 6 4.56 LO bat rob 10b 248.52 20 sub b in e110l

Explanation / Answer

y=[ 0 ; 358.27 ; 684.56 ; 827.73 ; 843.51 ;

x2 = [1 0 0;1 5 25 ; 1 10 100 ;1 15 225; 1 20 400; 1 25 625 ; 1 30 900];
>> b2 = inv (((x2')*x2))*x2'*y

b2 =

4.1633
85.2469
-2.1024

hence y^ = 4.1633 +85.2469 x -2.1024x^2

b)

x4 =[1 0 0 0 0;1 5 25 125 625 ;1 10 100 1000 10000; 1 15 225 3375 15^4; 1 20 400 20^3 20^4 ; 1 25 625 25^3 25^4 ; 1 30 900 30^3 30^4];
>> x4

x4 =

1 0 0 0 0
1 5 25 125 625
1 10 100 1000 10000
1 15 225 3375 50625
1 20 400 8000 160000
1 25 625 15625 390625
1 30 900 27000 810000

>> b2 = inv (((x4')*x4))*x4'*y

b2 =

-2.8743
75.6117
0.6224
-0.1816
0.0034

hence y = -2.8743 +75.6117 x +0.6224*x^2 -0.1816x^3 +0.0034*x^4

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