Determine the strength and direction of the line of best fit given the table below.(1 point)

Question

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Correlation Coefficient (r) Strength Direction of Line of Best Fit
0.1247833
0.1247833
Response area Response area
−0.9887632
−
0.9887632
Response area Response area
0.79283524
0.79283524
Response area Response area
−0.000001235
−
0.000001235
Response area Response area
−0.59725562
−
0.59725562
Response area Response area


Negative SlopeNo CorrelationWeak PositiveNo SlopePositive SlopeStrong PositiveStrong NegativeWeak Negative

Answer 1

To determine the strength and direction of the line of best fit given the correlation coefficient (r), we can analyze the value of r you provided: 0.1247833.

1. Strength:

   • A correlation coefficient (r) close to 1 or -1 indicates a strong correlation.
   • A correlation coefficient near 0 indicates no correlation.
   • For values between 0.1 to 0.3 or -0.1 to -0.3, we generally consider it a weak correlation.
   • In this case, since 0.1247833 is closer to 0, it indicates a Weak Positive correlation.

2. Direction:

   • If r is positive (greater than 0), it indicates a positive slope (as one variable increases, the other variable tends to also increase).
   • If r is negative (less than 0), it indicates a negative slope (as one variable increases, the other variable tends to decrease).
   • Since our value 0.1247833 is positive, the direction is a Positive Slope.

Putting it all together:

• Strength: Weak Positive
• Direction of Line of Best Fit: Positive Slope

So the final responses are:

• Strength: Weak Positive
• Direction of Line of Best Fit: Positive Slope