You use a line of best fit for 5 different sets of data to make a prediction about an unknown value. The correlation coefficient for your data sets are shown. How confident can you be that your predicted value will be reasonably close to the actual value? Match the correlation coefficient to the correct interpretation of the value.(5 points)

Question

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r=−1
r=0.8241
r=−0.3444
r=1.522
r=0.0001 (I cannot be very confident, it might be close, or it might be way off) (i can't be confident at all, this is about as close to a random guess as you can get) (i can be very confident, it will be close, but it probably won't be exact) (this is an impossible value for r) (i can be certain that my predicted value will match the actual value exactly)

Answer 1

Here are the appropriate interpretations for each correlation coefficient:

1. r = -1: (i can be certain that my predicted value will match the actual value exactly)
2. r = 0.8241: (i can be very confident, it will be close, but it probably won't be exact)
3. r = -0.3444: (i cannot be very confident, it might be close, or it might be way off)
4. r = 1.522: (this is an impossible value for r)
5. r = 0.0001: (i can't be confident at all, this is about as close to a random guess as you can get)

Please match the correlation coefficients with the corresponding interpretations as shown.