Do Now A student wonders if tall women

Do Now A student wonders if tall women tend to date taller men than do short women. She measures herself, her dormitory roommate, and the women in the adjoining rooms. Then she measures the next man each women dates. Here are the data (heights in inches): Women (x): 66 64 66 65 70 65 Men (y): 72 68 70 68 71 65 Using your calculator, make a scatterplot. Describe the direction, strength, form, and any outliers of the relationship between men and women. Do taller women tend to date taller men than do short women? 73 71 Men 69 67 65 65 65 63 61 63 64 65 66 67 Women 68 69 70 71

Correlation Coefficient Unit 1: Data Exploration

Objectives • Calculate and interpret the correlation coefficient (r) GRIT Works independently with focus RESPECT Knows when and how to include others RESPONSIBILITY Gets to work right away rather than procrastinating LOVE OF LEARNING Is eager to explore new things

Correlation r • Correlation (r): measures the direction and strength of the linear relationship between two quantitative variables r = correlation r < 0 Negative association r > 0 Positive association r = 0 No correlation Correlation does NOT equal slope!

Correlation Equation Using Calculator: 1. STAT > EDIT – – Enter x-values in L 1 Enter corresponding y -values in L 2 2. STAT > CALC > 4: Lin. Reg (ax+b) – – Xlist: L 1 Ylist: L 2 Enter! r is your correlation coefficient (NOT r 2)

Calculate the Correlation r for the relationship between women and men’s heights. Women (x): 66 64 66 65 70 65 Men (y): 72 68 70 68 71 65 Using Calculator: 1. STAT > EDIT – – Enter x-values in L 1 Enter corresponding y-values in L 2 2. STAT > CALC > 8: Lin. Reg (a+bx) – – Xlist: L 1 Ylist: L 2 Enter! r is your correlation coefficient (NOT r 2)

Facts about Correlation 1. Correlation does not change when we change the units. 2. Correlation does not describe curved relationships between variables. A correlation of 0 does not mean there is no relationship. 3. Correlation is strongly effected by outliers.

Facts about Correlation A student wonders if tall women tend to date taller men than do short women. She measures herself, her dormitory roommate, and the women in the adjoining rooms. Then she measures the next man each women dates. Here are the data (heights in inches): Women (x): 66 64 66 65 70 65 Men (y): 72 68 70 68 71 65 1. What happens to correlation if we do not include the 70 inch woman and the 71 inch man? 2. If heights were measured in centimeters rather than inches, how would the correlation change? (There are 2. 54 cm in an in)

Independent Practice 10 minutes GRIT Works independently with focus RESPECT Knows when and how to include others RESPONSIBILITY Gets to work right away rather than procrastinating LOVE OF LEARNING Is eager to explore new things

Independent Practice and Homework • Correlation Coefficient Quiz to be scanned upon walking into class on Friday. • Reading Response

Unit 1 Exam Reflection

Unit 1 Exam Reflection Period Review Packet Completion Practice Assessment Completion 5 40% 50% 6 4% 10% 8 10% 0%

Unit 1 Project Reflection