Let’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 = −0.032 × (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 thisstudent’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 student’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.
