iii.iv. from choices (a) through (e), identify the correlation of the following graphs. a).44 b).98...

8
-1 -0.5 0 0.5 1 1.5 2 0 0.2 0.4 0.6 0.8 1 1.2 -1 -0.5 0 0.5 1 1.5 2 0 0.2 0.4 0.6 0.8 1 1.2 -1 -0.5 0 0.5 1 1.5 2 0 0.2 0.4 0.6 0.8 1 1.2 -1 -0.5 0 0.5 1 1.5 2 0 0.2 0.4 0.6 0.8 1 1.2 hoices (a) through (e), identify the correlation of the following g a) .44 b) .98 c) .92 d) -.89 e) -.99

Upload: arnold-allison

Post on 31-Dec-2015

212 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: III.IV. From choices (a) through (e), identify the correlation of the following graphs. a).44 b).98 c).92 d) -.89 e) -.99

-1

-0.5

0

0.5

1

1.5

2

0 0.2 0.4 0.6 0.8 1 1.2

-1

-0.5

0

0.5

1

1.5

2

0 0.2 0.4 0.6 0.8 1 1.2

-1

-0.5

0

0.5

1

1.5

2

0 0.2 0.4 0.6 0.8 1 1.2

-1

-0.5

0

0.5

1

1.5

2

0 0.2 0.4 0.6 0.8 1 1.2

From choices (a) through (e), identify the correlation of the following graphs.

a) .44 b) .98 c) .92 d) -.89 e) -.99

Page 2: III.IV. From choices (a) through (e), identify the correlation of the following graphs. a).44 b).98 c).92 d) -.89 e) -.99

For each pair of mean and median, determine which description best describes a distribution having those measures of center:

1. slightly skewed left2. slightly skewed right3. strongly skewed right4. strongly skewed left5. approximately symmetric

a. mean = 24.1, median = 29.1

b. mean = 29.7, median = 29.1

c. mean = 32.5, median = 31.2

d. mean = 29.6, median = 24.2

Page 3: III.IV. From choices (a) through (e), identify the correlation of the following graphs. a).44 b).98 c).92 d) -.89 e) -.99

Dr. Hunter had just given an exam to nine students. These were their grades:

67 64 70 51 63 35 70 45 46

•Find the 5-Number Summary of these scores.

•Make a stemplot of the scores.

Page 4: III.IV. From choices (a) through (e), identify the correlation of the following graphs. a).44 b).98 c).92 d) -.89 e) -.99

A student wonders if people of similar heights tend to date each other. She measures herself, her dormitory roommate, and the women in the adjoining rooms; then she measures the next man each woman dates. Here are the data (heights in inches)

Women 66 64 66 65 70 65Men 72 68 70 68 74 69

Sketch a scatterplot of these data. Describe the pattern you observe.

Which of the following statements is true?

1. The variables measured are all categorical.

2. There is a negative correlation between the heights of men and women, since the women tend to be shorter than the men they date.

3. There is a positive correlation between the heights of men and women.

4. Correlation makes no sense here since gender is a categorical variable.

Page 5: III.IV. From choices (a) through (e), identify the correlation of the following graphs. a).44 b).98 c).92 d) -.89 e) -.99

The correlation coefficient measures

A) whether there is a relation between two variables.

B) whether or not a scatterplot shows an interesting pattern.

C) whether a cause and effect relation exists between two variables.

D) the strength of a straight line relation between two variables.

Page 6: III.IV. From choices (a) through (e), identify the correlation of the following graphs. a).44 b).98 c).92 d) -.89 e) -.99

Scores on a certain IQ tend to be Normally distributed with mean 125 and standard deviation 4.5.

What percentage of scores are higher than 130?

How low are the lowest 25% of scores?

Page 7: III.IV. From choices (a) through (e), identify the correlation of the following graphs. a).44 b).98 c).92 d) -.89 e) -.99

Association Is Not Causation

• Give an example of two variables illustrating this principle.

• For your example, what third, lurking variable might explain the association?

Page 8: III.IV. From choices (a) through (e), identify the correlation of the following graphs. a).44 b).98 c).92 d) -.89 e) -.99

Influential Observations

• Sketch a scatterplot with an influential observation that is an outlier in the y variable.

• Sketch a scatterplot with an influential observation that is an outlier in the x variable.

• Sketch a scatterplot with an outlier in the y variable that is not influential.