#23 A student at a junior college conducted a survey of 20 randomly selected ful

Question

#23

A student at a junior college conducted a survey of 20 randomly selected full-time students to determine the relation between the number of hours of video game playing each week, x, and grade-point average, y. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is

y-hat =0.0518x+2.9239.

A.) Predict the student's GPA who plays 8 hours of video games per week

B.) Interpret the slope

C.) If appropriate, interpret the Y-interept

Explanation / Answer

A)The student's GPA who plays 8 hours of video games per week=(-0.0518*8)+2.9239=2.5095

B)Here,-0.0518 is the slope of the line.Generally,Slope is the rate of change,is the amount by which we can expect y to decrease for an increase of one in x.That is,for each hour(increases by 1 hr) of video game played per week,GPA is predicted to decrease by -0.0518,on average.

C) Most generally,intercept doesn't have any intuitive interpretation.sometimes y intercept can be interpreted in a meaningful way and sometimes may not.That is,here in this equation ,the number of hours of video game playing each weeek is zero(i.e.,when x =0),GPA is predicted to be 2.9239.

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