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Part ACSIR NET December 2024r-squared-not-r-is-the-variation-explained

R squared not r is the variation explained

The given figure shows data points and a line fit by least squares method between profit in ice-cream business and mean temperature (T) for a city. Printed on the figure are the fitted line Profit = 4T − 86 and the correlation coefficient r = 0.83. Which one of the following inferences can definitely be drawn?

  1. A.The sum of the squared values of differences between the observed and expected values of temperature is the minimum.
  2. B.83% of the variation in profit is explained by the variation in temperature.
  3. C.Rise in temperature causes profit to increase.
  4. D.At 25°C, estimated profit is 14 million ₹.✓ Correct

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward, and why this one tests what the inference means.

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50 are analysed free — try those first.

The trap it tests

What the inference means

p-values, size, power and error types say specific things. This was not one of them.

Drill statements like this

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