A zoo collected data on the diving times of turtles. Based on the data, the regression line is j = 0.010 + 2.515x, where x is the time of the dive, in minutes. Based on the regression equation, what is the predicted dive depth in meters at 150 seconds? Give your answer to three decimal places. meter(s)

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Adetunmbiadekunle Adetunmbiadekunle · Answer 1 · 2020-10-15T02:09:13+02:00

Answer:

6.298 meters

Step-by-step explanation:

Here, we are told that x is the time of the dive in minutes.

We simply first need to convert 150 seconds to minutes before substitution into the regression formula;

Kindly recall that 60 seconds = 1 minute

So 150 seconds will be 150/60 = 2.5 minutes

We now proceed to substitute into;

j = 0.010 + 2.515(x)

i = 0.010 + 2.515(2.5)

j = 0.010 + 6.2875

j = 6.2975 which go 3 decimal places is 6.298 meters

fichoh fichoh · Answer 2 · 2021-10-28T11:03:54+02:00

Using the regression model given, substitution the value of x = 2.5 minutes into the equation, the dive depth obtained ls 6.2975 meters.

Given the regression model :

Converting, x to minutes :

150 seconds = (150 ÷ 60) = 2.5 minutes

The dive depth, y after 150 seconds, can be obtained by substituting the value x = 2.5 into the equation :

y = 0.010 + 2.515(2.5)

y = 0.010 + 6.2875

y = 6.2975

There, the dive depth after 150 seconds will be 6.2975 meters

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