The regression equation relating dexterity scores (x) and productivity scores (y) for the employees of a company is y = 5.50 + 1.91x. ten pairs of data were used to obtain the equation. the same data yield r = 0.986 and y = 56.3. what is the best predicted productivity score for a person whose dexterity score is 33?

Question

Brindle

Mathematics

6 February, 10:48

The regression equation relating dexterity scores (x) and productivity scores (y) for the employees of a company is y = 5.50 + 1.91x. ten pairs of data were used to obtain the equation. the same data yield r = 0.986 and y = 56.3. what is the best predicted productivity score for a person whose dexterity score is 33?

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Answers (1)

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Mike · Answer 1

For this case we have the following equation:

y = 5.50 + 1.91x

Where:

x: dexterity scores

y: productivity scores

For x = 33 we have:

y = 5.50 + 1.91 * (33)

y = 68.53

Answer:

The best predicted productivity score for a person whose dexterity score is 33 is:

y = 68.53