91影视

Given data:

Presented the lack of substantial curvature in the given scatter plot, a linear model between the two scatter plot variables would be appropriate. As a result, a linear relationship between In(intensity) and depth is reasonable.

Expectations based on a general linear model Time and ln(intensity);

$\ln \left(\text{intensity}\right)=a+b\text{(depth)}$

Taking the exponential

$\text{intensity}=e^{\ln \left(\text{intensity}\right)}$

Given data:

Least square regression line's general equation

$\hat{y}=b_0+b_{1}x$

In the row "constant" and the column "Coef" of the computer output, the calculated constant $b_0$is mentioned.

$b_0=6.78910$

In the row "Depth" and the column "Coef" of the computer output, the calculated slope $b_1$ is mentioned.

$b_1=-0.333021$

Substituting the value of $b_0$and $b_1$

$\hat{y}=b_0+b_{1}x$

$\hat{y}=6.78910-0.333021x$

Where$x$ represents the current time and $y$ is the ln (count)

Where $x$ is representing the depth and $\mathrm{y}$ is representing the intensity.

Given data:

Substituting the value of $x$

$\ln \hat{y}=6.78910-0.333021x$

$\ln \hat{y}=6.78910-0.333021\left(12\right)$

$=2.792848$

Taking the exponential

$\hat{y}=e^{\ln \hat{y}}$

$=e^{2.792848}$

$=16.3275$