Questions: Question 6 Biologists within a national park use the fall rabbit population as a predictor of the following spring's fox population. Data has been collected and the following regression equation has been determined: J = -7.266 + 0.247x. Find the predicted spring fox population when the previous fall there were 83 rabbits. ○ 82 ○ 75 ○ 89 ○ 5853 5 points Save Answer Question 6 of 20

Question 6 Biologists within a national park use the fall rabbit population as a predictor of the following spring's fox population. Data has been collected and the following regression equation has been determined: J = -7.266 + 0.247x. Find the predicted spring fox population when the previous fall there were 83 rabbits. ○ 82 ○ 75 ○ 89 ○ 5853 5 points Save Answer Question 6 of 20
Transcript text: Question 6 Biologists within a national park use the fall rabbit population as a predictor of the following spring's fox population. Data has been collected and the following regression equation has been determined: J = -7.266 + 0.247x. Find the predicted spring fox population when the previous fall there were 83 rabbits. ○ 82 ○ 75 ○ 89 ○ 5853 5 points Save Answer Question 6 of 20
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Solution

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Solution Steps

Step 1: Define the Regression Equation

The regression equation provided is:

\[ J = -7.266 + 0.247x \]

where \( J \) represents the predicted spring fox population and \( x \) is the number of rabbits in the previous fall.

Step 2: Substitute the Value of \( x \)

To find the predicted spring fox population when there were 83 rabbits, we substitute \( x = 83 \) into the equation:

\[ J = -7.266 + 0.247 \times 83 \]

Step 3: Calculate the Predicted Population

Now, we perform the calculation:

\[ J = -7.266 + 20.501 = 13.235 \]

Final Answer

The predicted spring fox population when there were 83 rabbits in the previous fall is:

\[ \boxed{13.235} \]

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