Relationship Between Two Quantitative Variables

line of best fit representing a set of bivariate data

• linear equation

• negative equation

• positive equation

• regression equation

the steepness of a line; rate of change in y (vertical) compared to change in x (horizontal),  or  or , denoted as m in y = mx + b

• x-intercept

• y-intercept

• slope of a line

• zeros

a relationship between two variables in which one variable directly causes change(s) in the other variable

• range

• causation

• correlation

• domain

no trend observable in the data points

• no linear correlation

• linear correlation

• positive linear correlation

• negative linear correlation

Which scatter plot shows a linear relationship between x and y?

• Graph A

• Graph B

• Graph C

• Graph D

Which sentence describes the relationship shown on this scatter plot?

• As the temperature decreases, the visitors increase.

• As the temperature increases, the number of visitors increases.

• As the visitors increase, the temperature decreases.

• No correlation

Which of the following lines represents the line of best fit for the scatter plot?

• A

• B

• C

• D

The red line represents the line of best fit for the scatter plot. How many ice cream sales are expected if the temperature is 90°?

• 55

• 0

• 103

• 100

Find the equation of the line of best fit for the given data

• y = 163.41x+1.49

• y =- 163.41x+ 4.19

• y =- 4.19x+163.41

• y = 4.19x -163.41

Write the linear regression equation for the following data points. Round to the nearest hundredth.