Algebra I 05/10/16 Aim: How Can We Determine if Two Events are Related to Each Other? HW#98: Correlation & Data Worksheet

Transcription

1 Algebra I 05/10/16 DO NOW Given the following cumulative histogram: 1) Determine the total number of students in the class 2) Determine how many students scored higher than 70 3) State which two ten point intervals contain the same frequency 1

2 students 10 students scored a 70 or below, so = 20 students scored above a 70. Intervals "41 90" and "41 100" both increase by the same amount (6 students), therefore the two ten point intervals with the same frequency are "81 90" and "91 100". 2

3 Let's Play "Which One of These Is Not Like the Others?" 3

4 Let's Play "Which One of These Is Not Like the Others?" ROUND 2 4

5 Let's Play "Which One of These Is Not Like the Others?" ROUND 3 FINAL CHALLENGE 5

6 The type of data we have determines the type of graph will use to display the data. Univariate Data A set of data that uses only one variable; often displayed in histograms, box and whisker plots, or other means of central tendency Bivariate Data A set of data that uses two variables; often displayed as a scatter plot or table of values to identify the relationship between the variables (independent vs dependent) 6

7 Univariate Data A set of data that uses only one variable Bivariate Data A set of data that uses two variables univariate Determine whether each data set is univariate or bivariate: a. the temperature outside and the number of ice cream sales at a store b. the side length of a square and the area of a square c. favorite colors of the members of the freshman class bivariate d. the cost of high speed Internet service from two different suppliers univariate bivariate bivariate univariate bivariate 7

8 With your table partner, answer the following questions and provide justification for your choices. 1) 2) 1) 3) 2) 4) 8

9 What is the difference between univariate and bivariate data? Give one example of each. 9

10 Statisticians and quality control technicians gather data to determine correlations (relationships) between such events. Scatter plots will often show at a glance whether a relationship exists between two sets of data. In the space below each scatter plot, label the plot with the correction correlation from the following list: (A) high positive correlation (B) high negative correlation (C) low positive correlation (D) low negative correlation (E) no correlation 10

11 With your table partner, answer the following questions and provide justification for your choices. 1) 2) 1) 2) 3) 4) 1) 3) 2) 4) 11

12 If two events have a correlation, it does not necessarily mean there is a "cause and effect" or causal relationship. Which sentence describes a situation that is not a causal relationship? (A) The more miles driven, the more gasoline needed. (B) The more powerful the microwave, the faster the food cooks. (C) The rooster crows and the sun rises. (D) The faster the pace of the runner, the quicker the runner finishes. 12

13 With your table partner, answer the following questions and provide justification for your choices. 1) 2) 13

14 1) What are the different types of correlation? 2) If there is a correlation between two events, must they have a casual relationship? Justify your response. 14

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