Calculating the Least-Squares Regression Line — Quiz

Question 1

The equation hat y is equal to negative 7 point 6 1 plus 0 point 1 9 x is called the least-squares regression line because it

Revolt · Accepted Answer

minimizes the sum of the squared residuals.

Question 2

Using technology, what is the correlation coefficient?

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0 point 9 1

Question 3

Using technology, what is the equation for the least-squares regression line?

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hat y is equal to 17 point 3 7 plus 0 point 5 0 x

Question 4

Using technology, the y -intercept is

Revolt · Accepted Answer

3 point 7 9 , which means a student with no absences is predicted to have a GPA of 3 point 7 9 .

Question 5

The equation hat y is equal to 54 point 1 6 plus 0 point 8 7 x is called the least-squares regression line because it

Revolt · Accepted Answer

makes the sum of the squared residuals as small as possible.

Question 6

Using technology, the slope of the least-squares regression line is

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0 point 6 8 , which means for each additional point in the English score, the math score is predicted to increase by 0 point 6 8 points.

Question 7

Using technology, what is the correlation?

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negative 0 point 5 6

Question 8

Using technology, what is the equation for the least-squares regression line?

Revolt · Accepted Answer

hat y is equal to 3 point 7 9 minus 0 point 1 0 x

Question 9

Using technology, what is the equation for the least-squares regression line?

Revolt · Accepted Answer

hat y is equal to 180 point 2 plus 0 point 6 8 x

Question 10

Using the computer output, what is the equation of the least-squares regression line?

Revolt · Accepted Answer

hat y is equal to negative 14 point 7 1 plus 1 point 5 8 5 x

Calculating the Least-Squares Regression Line — Quiz Answers