Bivariate Data Regression Review

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles

• 617.5 miles

• 0.19 miles

• 500 miles

represents the percentage of the data that is the closest to the line of best fit.

• R

• S

• X

• r²

Which of these is the regression equation for Desmos?

• y1~b+mx1

• y1~b+ax1

• y1~mx1+b

• y1~ax1+b

A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data.

y=​ ​ ​ (a)   x + ​ (b)  

• 0.8

• 11

• -23

• 1.75

• -0.6

• 18

In the context of bivariate data, what does the term "residual" refer to?

• The difference between the observed value and the predicted value.

• The slope of the regression line.

• The y-intercept of the regression line.

• The correlation coefficient.

In a scatter plot, what does it mean if the points are very close to the regression line?

• The correlation is weak.

• The correlation is strong.

• There is no correlation.

• The variables are independent.

What does the term "line of best fit" refer to in a scatter plot?

• A line that passes through all the data points.

• A line that minimises the distance of all points from the line.

• A line that maximises the distance of all points from the line.

• A line that is parallel to the x-axis.

Which of the following is the equation of a regression line?

• The y-intercept.

• The point where the line crosses the y-axis.

• The correlation coefficient.

The annual profits for a company are given in the following table, where x represents the number of years since 2006, and y represents the profit in thousands of dollars. Which is the linear regression equation that represents this set of data?

• y = -25x - 150

• y = 25x + 150

• y = 150x + 25

• y = -150x + 25