Question

please answer all questions

1. The primary purpose of Pearson’s Correlation Coefficient is?

1. to measure the strength of a linear relationship between two variables
2. draw a Scatterplot
3. find Residual values
4. transform a linear relationship between two variables to a curved 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 each pair of data
2. an explanatory variable
3. negative slope
4. a response variable

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

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

RESEARCH QUESTION: Can a daughter’s height be predicted from a mother’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 your calculator 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’s height in inches?

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

Answer 1

1) Option A

2) Option D

3) Option B

4) Option A

5) Option A

6) Option D

7) Option C

8) Option A

r^2 = 0.47^2 = 0.22

9) Option A

y = 0.27 x + 46.30

10) Option C

y = 0.27 x + 46.30

for x = 60, y = 0.27*60 + 465.30 = 62.5 inches