A student at a junior college conducted a survey of 20 randomly selected full-ti

Question

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, why. She found that a linear relation exists between the two variables. The least squares regression line that describes this relation is caret over y = 0.0526x + 2.9278.
a) Predict the grade-point average of a student who plays videogames eight hours per week.
The predicted grade-point average is___?____
b) Interpret the slope.
For each additional hour that a student spends playing video games in a week, the grade point average will either increase or decrease by ____?____points, on average. 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, why. She found that a linear relation exists between the two variables. The least squares regression line that describes this relation is caret over y = 0.0526x + 2.9278.
a) Predict the grade-point average of a student who plays videogames eight hours per week.
The predicted grade-point average is___?____
b) Interpret the slope.
For each additional hour that a student spends playing video games in a week, the grade point average will either increase or decrease by ____?____points, on average.
a) Predict the grade-point average of a student who plays videogames eight hours per week.
The predicted grade-point average is___?____
b) Interpret the slope.
For each additional hour that a student spends playing video games in a week, the grade point average will either increase or decrease by ____?____points, on average.

Explanation / Answer

a) For x = 8,

y = 0.0526(8) + 2.9278

y = 3.3486 (Rounded off to 4 decimal places)

b) Interpretation of slope:

For each additional hour that a student spends playing video games in a week, the grade point average will increase by 0.0526 points, on average.

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