### All HiSET: Math Resources

## Example Questions

### Example Question #1 : Data Analysis, Probability, And Statistics

Determine the linear regression line for the following paired data:

**Possible Answers:**

**Correct answer:**

The formula for a regression line for a set of paired data is the line of the equation

,

where

and

.

, the number of pairs.

is the sum of the values:

is the sum of the values:

is the sum of the squares of the values:

is the sum of the products:

Substituting:

and are the arithmetic means of the and values, respectively - the sums divided by the number of values:

The equation of the linear regression line is .

### Example Question #1 : Data Analysis, Probability, And Statistics

Determine the linear regression line for the following paired data:

**Possible Answers:**

**Correct answer:**

The formula for a regression line for a set of paired data is the line of the equation

,

where

and

.

, the number of pairs.

is the sum of the values:

is the sum of the values:

is the sum of the squares of the values:

is the sum of the products:

Substituting:

and are the arithmetic means of the and values, respectively - the sums divided by the number of values:

The linear regression line is the line of the equation .