A student at a junior college conducted a survey of 20 rando

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 = -0.0556x+2.9254

A) Predict the grade-point average of a student who plays video games 8 hours per week.

Round to nearest hundreth

The predicted grade-point average is ___.

B) Interpret the slope. Fill in the blanks.

For each additional hour that a student spends playing video games in a week, the grade-point average will ____ (increase or decrease) by ____ points, on average.

C) If appropriate, interpret the y-intercept.

a) The grade-point average of a student who does not play video games is 2.9254

b) The average number of video games played in a week by students is 2.9254

c) It cannot be interpreted without more information

D) A student who plays video games 7 hours per week has a grade-point average of 2.65. Is the student\'s grade-point average above or below average among students who play video games 7 hours per week?

a) Above

b) Below

A) Predict the grade-point average of a student who plays video games 8 hours per week.
Round to nearest hundreth

y = -0.0556(8) + 2.9254
y = 2.4806
y = 2.48 --> ANSWER

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B) Interpret the slope. Fill in the blanks.

For each additional hour that a student spends playing video games in a week, the grade-point average will DECREASE (increase or decrease) by 0.0556 points, on average.

So, enter these : decrease , 0.0556

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C) If appropriate, interpret the y-intercept.

y-intercept is when x = 0, which is very possible because there can easily be quite a few students who do not play video games at all....

a) The grade-point average of a student who does not play video games is 2.9254 --> ANSWER

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y = -0.0556(7) + 2.9254
Expected GPA must be ---> y = 2.5362
But the student has GPA = 2.65

So, the student\'s GPA is ABOVE average --> ANSWER