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A study was conducted on the relationship between the speed of different cars and their gasoline mileage. The correlation coefficient was found to be 0.35. Later, it was discovered that there was a defect in the speedometers and they had all been set 5 miles per hour too fast. The correlation coefficient was computed using the corrected scores. Its new value will be:

OPTIONS

  • 0.35
  • 0.3
  • 0.4
  • 0.5

ANSWER

0.35

EXPLANATION

The correlation coefficient reflects the two variables and tracks the slope of the line. With the change in the values of speed, the y-intercept would change and hence the equation of y would change. But there will not be any impact to the other factors. That’s why the correlation coefficient remains the same.

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