Regression Assignment #7
Instructions: Read the following scenario, and then answer the questions that follow. (5 points)
How many close friends do you have, and how often do you post on social media? Do you think the two might be related? Well, let’s do a quick study. Imagine a researcher asks teenagers to 1). report how many “close friends” they have and 2). report how frequently they post status updated on social media over a specified 10 hour period. Using Number of Friends (X) and Number of Social Media Posts (Y), fill in the blank spaces in following chart to assess this relationship: (Note: Complete this chart offline. Then, answer questions 1 through 5)
Number Friends (X) |
Number Posts (Y) |
X2 |
Y2 |
XY |
|
1 |
3 |
||||
1 |
4 |
||||
2 |
4 |
||||
2 |
5 |
||||
3 |
7 |
||||
4 |
8 |
||||
4 |
13 |
||||
5 |
14 |
||||
6 |
16 |
||||
6 |
19 |
||||
Total |
1. Which of the following is correct?
A). The predictor (independent) variable is number of posts. The criterion (dependent) variable is the number of friends. The researchers are trying to see if the number of posts predicts the number of friends.
B). The predictor (independent) variable is number of posts. The criterion (dependent) variable is the number of friends. The researchers are trying to see if the number of posts predicts the number of friends.
C). The predictor (independent) variable is the number of friends. The criterion (dependent) variable is the number of posts. The researchers are trying to see if the number of friends predicts the number of posts.
D). The predictor (independent) variable is the number of friends. The criterion (dependent) variable is the number of posrts. The researchers are trying to see if the number of posts predicts the number of friends.
2. What is the correct regression weight (b)? (round to three decimal places here). (1 point)
A). 0.711
B). 2.895
C). -2.895
D). -0.543
E). -1.406
3. What is the correct regression intercept (a)? (round to three decimal places here) (1 point)
A). 0.711
B). 2.895
C). -2.895
D). -0.543
E). -1.406
4. What is the correct regression equation (Y’)? (use three decimal places here) (1 point)
A). Y’ = -0.543X + 2.895
B). Y’ = 2.895X – 0.543
C). Y’ = 98.43X – 0.543
D). Y’ = 2.895X + 0.543
E). X = 2.895Y’ – 0.543
5. Imagine a participant has seven (7) close friends. Given your regression equation, how much should this participant post on social media? (For your final answer, please round to two decimal places) (1 point)
A). 0.91
B). 10.18
C). 19.72
D). 20.81
E). 21.99
1. The correct answer is Option C. The predictor (independent) variable is the number of friends. The criterion (dependent) variable is the number of posts. The researchers are trying to see if the number of friends predicts the number of posts.
2. The correct answer is Option B. This is the value.
3. The correct answer is Option D. This is the value.
4. The correct answer is Option B. This is the equation.
Please post the other questions separately. As per the answering guidelines we are supposed to answer just one question or four sub parts of the same question.
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