Letâ€™s consider a study that followed a randomly selected group of 100 State U students during...

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Letâ€™s consider a study that followed a randomly selected groupof 100 State U students during a two-year period at the school. Thestudy found that a linear relationship exists between the number ofhours students spend engaging in social media each week and theircumulative gpa during the two-year period. The model for thisrelationship can be given by the equation
g?pa = âˆ’0.032 Ã— (hours) + 2.944 (a) Interpret the slope of theline in the context of the data.
(b) The residual gpa for a particular student who spent 20 hoursper week using social media was found to be 0.476. What was thisstudentâ€™s cumulative gpa during the two-year period?
(c) Would the correlation coefficient for the linearrelationship be positive or negative? Explain.
(d) If another study found that the linear correlationcoefficient between a studentâ€™s gpa and the number of hours spentat the library was r = 0.46, could you conclude that thisrelationship is stronger than the one between gpa and hours spenton social media? Explain.

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4.5 Ratings (683 Votes)

Given Cumulative GPA 0032hours per week spent on social media x 2944a Slope of the line coefficient of x 0032We can observe that the slope is negative As the hours spent on social media increases thepredicted cumulative GPA decreasesb See Answer

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