Question

3) Mrs. Ruby is a researcher, she conducts research on the decay of the quality of bananas.
She proposed 4 models:
M1: y =
-2x + 15
M2: Y=
1.5x + 15
M3 : y = -2x + 13
M4: y =
-1x+ 15
In these models, y indicates a quality factor (or decay factor) which is dependent on x number of days. The value of y
varies between 0 and 15, where the value 15 denotes that the fruit has no decay and y=0 means completely
decayed. While formulating a model she has to make sure that on the 0th day the banana has no decay. The quality factor
(or decay factor) y values on x th day are shown in the table below.

X
4

5

6

7

Y
8

4

4

1
What is the SSE value of the best fit model till two decimal places?

Answer 1

Step-by-step explanation:

A theoretical model with explicit formulas for calculating the optical absorption and gain coefficients of silicon is presented. It incorporates direct and indirect interband transitions and considers the effects of occupied/unoccupied carrier states. The indirect interband transition is calculated from the second-order time-independent perturbation theory of quantum mechanics by incorporating all eight possible routes of absorption or emission of photons and phonons. Absorption coefficients of silicon are calculated from these formulas. The agreements and discrepancies among the calculated results, the Rajkanan-Singh-Shewchun (RSS) formula, and Green's data are investigated and discussed. For example, the RSS formula tends to overestimate the contributions of indirect transitions for cases with high photon energy. The results show that the state occupied/unoccupied effect is almost negligible for silicon absorption coefficients up to the onset of the optical gain condition where the energy separation of Quasi-Femi levels between electrons and holes is larger than the band-gap energy. The usefulness of using the physics-based formulas, rather than semi-empirical fitting ones, for absorption coefficients in theoretical studies of photovoltaic devices is also discussed

Answer 2

ANSWER:

The required model is M1.

Step-by-step Explanation:

Given: Four models M1: y =-2x + 15, M2: Y=1.5x + 15,M3 : y = -2x + 13,         M4: y =-1x+ 15

A quality factory y  which should be between 0 and 15.

if the value of y is 15 then there is no decay.

If the value of y is 0 it means that the fruit has completely decayed.

To find Which is the best model on the basis of SSE value.

Solution:

• Let us consider the four models given one by one for the values of x and y.
• The first model is M$1$ $=$ y $= -2$x $+ 15$

                               We get: $8 = -2(4) + 15$

         The first model gives us the answer $1$.

• The second model is M$2$ : $1.5$ x $+15$

                       Let substitute the values of x

                                 M$2 =$y = $1.5(5) + 15$      

                                        M$2 = 14.5$

       Therefore the second model gives us the answer $14.5$

• The third model is M$3$ : y $= -2$x $+ 13$

                       When x $= 6$ and y $= 4$

                             M3 :$4 = -2(6) + 13$

                                       M$3$ $=$ $3$

• The fourth model is M$4$: y $= -1$x $+15$

                               M$4:$ $1 = - 7(1) + 15$

         Therefore, the value of M$4$ is $7$

• So let us write the values of the models together to understand which is the best SSE value
• M$1 = 1$
• M$2 = 14.5$
• M$3=3$
• M$4 = 7$
• Therefore the best value will be $1$.

PROJECT CODE: #SPJ3