Module 2 Topic 1 Lesson 1: Least Squares Regression

The table shows the Dow Jones Average on the NYC Stock Exchange over six consecutive months (August through January) in 1987.

Generate a linear regression function that would model the Dow Jones Average using the data for months 1-6.

What type of association does the plot show.

• Positive Association

  The Dow Jones Average increases as the months increase.

• Negative Association

  The Dow Jones Average decreases as the months increase.

• No Association

  The Dow Jones Average is not related to the months.

Tags

CCSS.HSF-LE.A.1B

Mr. Flores collected data from 10 students who took the SAT last year.

Determine the linear regression function.

• slope = 344

  If a student studies for 0 hours, their Math SAT score will be 344.

• slope=780

  If a student studies for 22 hours, their Math SAT score will be 780.

• slope=23

  The math SAT score will increase about 23 points for every hour spent studying.

• slope=10

  The math SAT score will increase 10 points for every hour spent studying.

Tags

CCSS.HSF.LE.B.5

What type of association does the plot show.

• Positive Association

  The Math SAT score increases as time spent studying increases.

• Negative Association

  The Math SAT score decreases as time spent studying increases.

• No Association

  Math SAT score and time spent studying are not related.

Tags

CCSS.HSS.ID.B.5

• y-intercept=23

  If a student studies for 0 hours, their score will be about a 23.

• y-intercept=344

  If a student studies for 0 hours, their score will be about 344.

• y-intercept=23

  A students score will increase 23 points for each hour spent studying.

• y-intercept=344

  A students score will increase 344 points for each hour spent studying.

Tags

CCSS.HSF.LE.B.5

• 350

• 650

• 383

• 727

Tags

CCSS.HSF.LE.B.5

Xavier started his own T-shirt printing business. The table shows the number of t-shirts he has sold each year since 2010.

Determine the linear regression function.

• slope=57

  The number of t-shirts sold increases about 57 each year.

• slope=29

  There was about 29 t-shirts sold in 2010.

• slope=125

  There was about 125 t-shirts sold in 2013.

• slope=57

  The number of t-shirts sold increases 57 every 29 year.s

Tags

CCSS.HSF.LE.B.5

• 429

• 400

• 200

• 257

Tags

CCSS.HSF-BF.A.1A