Question

A researcher wants to examine the relationship between time spend on social media (variable X) and loneliness (variable Y) in young adults. A randomly sample of n = 72 young adults was asked how much time in average they spend on social media each day and how lonely day feel on a typical day.

The partial computations of collected data produced the following results:

*
SP* = 3.5

**A. Based on these results, is there a significant
correlation between time spend on social media and loneliness among
young adults? Use a Pearson correlation test with p <
.05, 2-tails to answer this research question.**

Follow the steps of hypothesis testing and insert your answers below. In your calculations, round all numbers to two decimal places to avoid rounding errors.

**ANSWER**

**H**_{0}:**H**_{1}:**Computed Pearson r =****df for decision about H**_{0}:**Critical r-value**used for decision about H_{0}**:****Decision about H**(i.e., reject or fail to reject)_{0}**:****Conclusion**(i.e., is there a significant correlation or not? If the correlation is significant, is it positive or negative? Make sure to follow the APA reporting format in your conclusion to avoid loosing any points, see examples on the lecture slides.)

**B**. **Find the regression equation for
predicting a person's loneliness (i.e., variable Y) from the
average time spend on social media each day (variable X). In your
answer, show all computational steps.**

Answer #1

(a) The hypothesis being tested is:

H_{0}:
= 0

H_{a}:
≠ 0

r = 3.5/√16*9 = 0.292

df = 72 - 2 = 70

Critical r-value = 0.232

Since 0.292 > 0.232, we can reject the null hypothesis.

Therefore, we can conclude that there is a significant correlation between time spend on social media and loneliness among young adults.

(b) b1 = 3.5/16 = 0.21875

bo = 20 - 0.21875*5 = 18.90625

The regression line is:

y = 18.90625 + 0.21875*x

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The data collected on a sample of n =
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7
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(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
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Social
Interaction
X
Y
7
4
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6
6
6
6
7
13
5
3
7
4
3
7
5
1
10
12
4
(a) Compute the Pearson correlation coefficient. (Round your
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(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
Internet
Use
Social
Interaction
X
Y
6
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7
6
4
7
6
5
11
5
4
6
4
2
6
5
3
9
11
4
(a) Compute the Pearson correlation coefficient. (Round your
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(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
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Use
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Interaction
X
Y
7
3
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The assignment summary sheets will be submitted week 14 with
Test 3.
You are to personally experience the power and satisfaction of
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The assignment will be evaluated and be weighted as 5% of your
final mark (together, they are worth 20% of your mark for Test 3,
which is worth 25% of...

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