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Let’s consider a study that followed a randomly selected group of 100 State U students during...

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Basic Math

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.

Answer & Explanation Solved by verified expert
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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