Ashudent at a junior colege conducted survey of 20 randomly selected tubmestaden

Question

Ashudent at a junior colege conducted survey of 20 randomly selected tubmestadents mne the relation between the number of hours of vde plying.schweck Kand grade two variables The leastsaares regression ine that deserbes this relaton y -00540x 20taM Predict grade point average otasausere who plays vdooganes hours per week The predicted grade point avorage is (Round to the nooresl hundredth as needed) (b) pret the slope For each addronal hour that a student spends pilyngvdeogames n a week hedrade port everage wil approprule interpret the y intencept A The grade pont average et a sudert who does no play wdeo sames 29 la. The average ruste olvideo games played n week by students c. te terpreted winout more informaton id nt who plays video games 7 hours per The studeres grade pont average ave apo Nor those who pay video pames Thours per weea y she found that

Explanation / Answer

Given relation that

y = -0.0546x + 2.9484

1) Given x = 8,

y = -0.0546 * 8 + 2.9484

= 2.5116

2) For each additional hour student plays a video game, the grade point will decrease by 0.0546

i.e the definition of slope ( slope = -0.0546)

3) Interpret y-intercept

Even if no one plays the game, the grade point will be 2.9484

4) Given the average for 7 hrs = 2.66

by calculation , for x = 7 hrs , y = 2.56

Hence the average is less than calculated

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