accurate scalterplot of the data depth as the explanabory variable r ltbe what y

Question

accurate scalterplot of the data depth as the explanabory variable r ltbe what you see. Here in a s of the natural loganithan of light in is shown below Based on this esy it would be reasonuble to use model to descnibe the elationks and depth (a) The fello di erent t descripta number a Monitab output from a linear regression anaysis on nsformed data is shown below, SE Coef redietor Coef 6.78910 0.00009 78575.46 0.000 m) -0.333021 0.000010 -3178).44 0.000 0.000055 R-sg-100.0 R-Sqlad)- 100. Give the equation of the least-squares regression line Be sure to define any variables you use (b) Min the d Use your model to predict the light intensity at a depth of 12 meters. Show your work hwall Students in Mr.Handfiond'sleas Light through the water Some college students collected data on the intensity of light at various depths in a lake. Here are their data 42. Depth (m) Light intensity (lumens) 168.00 120 42 86.31 61.87 44 34 31.78 22.78 10

Explanation / Answer

here the regression equation is given as y=a+bx where

Light_intensity=6.7891-0.3330*Depth

y=Light_intensity and

x=Depth

(b)answer=2.7931

for x=12, y=6.7891-0.3330*12=2.7931

so the predicted light intensity at depth 12 meter is 2.7931

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