# Assignment #6 – Regression

# Assignment #6 – Regression

Assignment #6 – Regression

Regression Assignment #7 (Fall 2020)

*Instructions: Read the following scenario, and then answer the questions that follow. (5 points)*

How well do you perform under pressure? What if that pressure comes from being surrounded (and possibly judged) by a crowd of people? Imagine a researcher has participants read aloud a speech in front of others. The researcher has between 1 and 10 crowd members observe the speech, and they measure how frequently participants deviate from the script (that is, the number of speech errors the participant makes, such as stuttering over words, mispronouncing words, or adding “ums” or “ers” as they read). Using Number of Observers (X) and Number of Speech Errors (Y), fill in the blank spaces in following chart to assess this relationship: (Hint: Complete this chart offline. Then, answer questions 1 through 5)

## When should regression analysis be used in research?

Assignment #6 – Regression

Number Observers (X) | Number Errors (Y) | X^{2} | Y^{2} | XY | |

1 | 0 | ||||

2 | 4 | ||||

3 | 6 | ||||

4 | 8 | ||||

5 | 9 | ||||

6 | 8 | ||||

7 | 12 | ||||

8 | 13 | ||||

9 | 14 | ||||

10 | 16 | ||||

Total |

- Which of the following is correct?

A). The predictor (independent) variable is number of errors. The criterion (dependent) variable is the number of observers. The researchers are trying to see if the number of errors predicts the number of observers.

B). The predictor (independent) variable is number of errors. The criterion (dependent) variable is the number of observers. The researchers are trying to see if the number of observers predicts the number of errors.

C). The predictor (independent) variable is the number of observers. The criterion (dependent) variable is the number of errors. The researchers are trying to see if the number of errors predicts the number of observers.

D). The predictor (independent) variable is the number of observers. The criterion (dependent) variable is the number of errors. The researchers are trying to see if the number of observers predicts the number of errors.

### Why is regression analysis used in survey research?

- What is the correct regression weight (
*b*)? (round to three decimal places here). (1 point)

* *A). 3.150

B). 0.332

C). -1.576

D). 1.576

E). -0.332

- What is the correct regression intercept (
*a*)? (round to three decimal places here) (1 point)

A). 3.138

B). 0.332

C). -1.576

D). 1.576

E). -0.332

- What is the correct regression equation (Y’)? (use three decimal places here) (1 point)

A). Y’ = 0.332X + 1.576

B). Y’ = -1.576X – 0.332

C). Y’ = 3.105X – 1.576

D). Y’ = 1.576X + 0.332

E). X = 1.576Y’ + 0.332

- Imagine a participant performing in a group of twelve (12) observers. Given your regression equation, how many errors should the participant make? (For your final answer, please round to two decimal places) (1 point)

A). 5.63

B). 12.27

C). 19.24

D). 35.62

E). -19.24