Math Problem Statement

 The table and scatter, plot show the time spent texting, x, and the time spent exercising, y, by each of 9 students last week.

The equation of the line of best fit is y=-0.4x+7.07.

Time spent texting, x (in hours)

Time spent exercising, y (in hours)

2.10

6.44

2.20

554

2.80

6.96

3.50

5.24

4.00

5.50

4.50

5.24

5.00

6.50

3.28

5.50

5.90

5.50

Time spent texting (in hours)

Vise the equation of the line of best fit, and use the table above, to fill in the blanks below.

Give exact answers, not rounded approximations.

Time spent texting (in hours)

5.00

5.90

Observed time spent exercising (in hours)

Predicted time spent exercising (in hours)

X

Residual (in hours)

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Regression
Equation of a Line
Residuals

Formulas

Equation of a Line: y = mx + b
Residual: Observed - Predicted

Theorems

-

Suitable Grade Level

High School