Linear Regression
What is the independent variable? What is the dependent variable? What is the linear regression equation? Round to 4 decimal places
Independent Variable: Number of years
Dependent Variable: Firework usage per year, millions of pounds
y = 8.1875x+72.7860
Scenario A : Dominique was going on a trip in a taxi. The service charges a $15 flat fee plus $2 per mile traveled.
Scenario B : A bacterial colony grows exponentially over time in a controlled environment. The initial population of the colony is 100 bacteria, and it is estimated that the population doubles every 3 hours.
Which of the scenarios follow a linear pattern? Explain and share what is the equation for the linear pattern.
Scenario A, y = 2x+15
What is the pattern? What does step 5 look like? Describe the pattern in words.
y = 3x+1, 11 dots in step 5 ( 5 on top, 5 on bottom, 1 in the middle)
Which table follows a linear pattern? Green or Blue. Find an equation that fits the table that follows a linear pattern
Green, y = 5x+15
What year would the firework usage reach 99 million pounds? How many millions of pounds would it be in the year 2000?
3.2 or around 1993
154.66 million pounds in the year 2000
Scenario A : You make a deposit $1500 into an account that pays 3% interest compounded annually
Scenario B : A candle is 6 inches tall and burns at a rate of 1/2 inch per hour.
Which of the scenarios follow a linear pattern? Explain and share what is the equation for the linear pattern.
Scenario B, y = -1/2x+6
What would be the number of dots in step 21? Create a table for this pattern ranging from 0 to 10.
64 dots.
Which table follows a linear pattern? Red or Black. Find an equation that fits the table that follows a linear pattern. Explain why one of the tables is linear and why one of the tables are not
Red, y = 3x+7