HiSET: Math : Identify lines of best fit

Study concepts, example questions & explanations for HiSET: Math

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Example Questions

Example Question #1 : Identify Lines Of Best Fit

Determine the linear regression line for the following paired data:

Possible Answers:

Correct answer:

Explanation:

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 #2 : Identify Lines Of Best Fit

Determine the linear regression line for the following paired data:

Possible Answers:

Correct answer:

Explanation:

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 .

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