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An experiment was conducted to investigate the effects ofsleep deprivation on ability to solve problems. 10 subjectstook part in an experiment. Each subject was deprived ofsleep for a certain number of hours (x) and the number oferrors made in solving a set of simple addition problems (y)was recorded.The regression equation turned out to be y = 3 +0.475x.In this equation, what is the interpretation of the number0.475?o The predicted number of hours of sleep deprivationfor a person who made no errors.o The average increase in the number of hours ofsleep deprivation when the number of errors isincreased by 1.o The average increase in the number of errorswhen the number of hours of sleep deprivation isincreased by 1.The predicted number of errors for a person whowas not deprived of sleep at all.Л

An experiment was conducted to investigate the effects ofsleep deprivation on ability to solve problems 10 subjectstook part in an experiment Each subject was d class=


Answer :

You have the following regression equation:

y = 3 + 0.475x

The last equation is a line equation, which its general form is:

y = mx + b

where b is the y-interpcet and m is the slope of the line. m has the menaing of the rate of increment by each unit x.

By comparing the general form of the line equation with the regression equation you have:

b = 3

m = 0.475

By taking into account the previous definition of slope, you can conclude that The average increase in the number of erros when the number of hours of sleep deprivation is increased by one.

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