please answer all questions

1. The primary purpose of Pearson’s Correlation Coefficientis?

1. to measure the strength of a linear relationship between twovariables
2. draw a Scatterplot
3. find Residual values
4. transform a linear relationship between two variables to acurved relationship

2. A Scatterplot is used to:

1. visually represent bivariate data
2. identify correlation data patterns
3. determine cause-and-effect relationships
4. answers A and B

3. What is the symbol for coefficient of determination?

A.    c           

B.    r²

C.    d           

D. None of the above

4. What is the symbol for correlation of coefficient?

1.   r
2. d
3. c
4. None of the above

5. A scatterplot is:

1. a graph on the coordinate plane that contains on point for eachpair of data
2. an explanatory variable
3. negative slope
4. a response variable

6. If the likelihood of one outcome is not affected by theoccurrence of another outcome, the outcome is:

1. Similar
2. Relational
3. Dependent
4. Independent

RESEARCH QUESTION: Can a daughter’s height be predicted from amother’s height?

Use the following data to answer the questions.

Mother’s Height (x) inches	Daughter’s Height (Y) inches
63	63
63	65
67	65
65	65
61	64
64	62
62	63
66	65

Using your calculator.

7. What is the linear correlation coefficient value?

1. 0.00
2. 0.90
3. 0.47
4. 0.27

8. What is the coefficient of determination value?

1. 0.22
2. 0.99
3. 0.47
4. 0.90

9. What is the “line of best fit” formula with values from yourcalculator using y = ax + b

1. y = 0.27 x + 46.30
2. y = 0.47 x + 46.30
3. y = 0.27 x + 49
4. None of the above

10. Using the formula of “line of best fit” found in question#9, if the mother’s height is x = 60 inches, what is the daughter’sheight in inches?

1. 80.4 inches
2. 75.0 inches
3. 62.5 inches
4. 36.9 inches