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After surveying students around Chaffey College about GPA's and sleep patterns, the students calculated the linear...

After surveying students around Chaffey College about GPA's and sleep patterns, the students calculated the linear correlation coefficient to be -0.287. They had a total of eight paired values for the survey.

a) Is there are a linear relationship between GPA's and sleep patterns? Why?

b) Is this a strong or weak, positive or negative relationship and why?

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Given that , after surveying students around Chaffey college about GPA's and sleep patterns,the students calculated the linear correlation coefficient to be -0.287. i.e. r = -0.287 They had total eight pairs values for this survey

a). Yes there is linear relationship between GPA's and sleep patterns . If the correlation coefficient 'r' is zero then we can easily says that there is no linear relationship.but here correlation coefficient 'r' is -0.287 that's why we can easily say that there is linear relationship between GPA's and sleep patterns.

b). here correlation coefficient is 'r'= -0.287 < 0

therefore there is weak and negative relationship between GPA's and sleep patterns.

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