Researchers were interested in how much time balance (i.e., the degree to which you have enough time to do what you like) is related to happiness. They asked 12 adults to answer two questions (on 1 – 8 scales): (a) in a typical week, how much of your time are you able to spend doing the kinds of things that you enjoy (with higher scores indicating more time balance) and (b) taking all things together, how happy would you say you are (with higher scores indicating more happiness)?

The research hypothesis is that there is an association between time balance and happiness.

Use the Table of Descriptive statistics, correlation (r), the standard error of the correlation (SEr), and the r to zr Table, to go through the steps to compute the 95% CI.

Report all values (excluding critical values) to TWO decimal places.
Report critical values to THREE decimal places.

Compute the following:

Report all values to TWO decimal places.

The Pearson Correlation = Answer

Standard Error (SEr) = Answer
tobs = Answer

#1 Transform r to z_r:

In our Table, we find that r = Answer

corresponds to z_r = Answer

#2 Compute the standard error of z_r

SEz_r = Answer

#3 Because this is the 95% confidence interval

z_Critical = ± Answer

#4 Compute the confidence interval around z_r

Answer ± Answer(Answer)= (Answer , Answer)

#5 Transform the confidence limits around zr to confidence limits around r

We find the z_r of Answer corresponds to r = Answer

We find the z_r of Answer corresponds to r = Answer

Therefore, the 95% confidence interval around r = Answer is (Answer , Answer)

Use the data and the regression equation above to determine the SS_residuals

Report all values to TWO decimal places.

Ps Time (X) Happy (Y) Y-predicted Residual Sq. Residual

1 2 2 Answer Answer Answer

2 2 4 Answer Answer Answer

3 4 3 Answer Answer Answer

4 5 6 Answer Answer Answer

5 7 5 Answer Answer Answer

6 8 6 Answer Answer Answer

7 1 1 Answer Answer Answer

8 1 3 Answer Answer Answer

9 3 2 Answer Answer Answer

10 4 5 Answer Answer Answer

11 6 4 Answer Answer Answer

12 5 7 Answer Answer Answer

∑ = Answer ∑ = Answer ∑ = Answer ∑ = Answer

Use the SS_residualto determine the standard error of the estimate:

Est. SE = Answer

please answer everything that says answer. i did the first chart but im confused on the rest

Transcribed Image Text:Use all your calculations to complete this Table of descriptive statistics (you will use this table to compute the correlation, SEr and t-test): Statistic Value 34 SP SSX SSY In df Compute the following: The Pearson Correlation Standard Error (SEr) = 58 tobs = 38 Report all values to TWO decimal places. 12 10
Transcribed Image Text:of Report all means to TWO decimal places. |Happy (Y) 2 Ps Time (X) 1 2 22 3 4 4 5 5 7 6 8 7 1 8 1 9 3 104 116 125 Mx = 4 + 6 5 CO 3 My = 4 (X-Mx) (Y - My) (X - Mx)² (Y - My)² -2 -2 1 3 4 -3 -3 -1 0 2 1 Σ = O -2 O 2 1 2 co -1 -2 1 O 3 [: = 0 4 4 O 1 16 9 1 1 Σ = 58 4 + CO 1 4 9 Σ= 38 (X - MX)(Y- My) W O 2 8 3 O O 3 Σ = 34

Question

Researchers were interested in how much time balance (i.e., the degree to which you have enough time to do what you like) is related to happiness. They asked 12 adults to answer two questions (on 1 – 8 scales): (a) in a typical week, how much of your time are you able to spend doing the kinds of things that you enjoy (with higher scores indicating more time balance) and (b) taking all things together, how happy would you say you are (with higher scores indicating more happiness)?

The research hypothesis is that there is an association between time balance and happiness.

Use the Table of Descriptive statistics, correlation (r), the standard error of the correlation (SEr), and the r to zr Table, to go through the steps to compute the 95% CI.

Report all values (excluding critical values) to TWO decimal places.
Report critical values to THREE decimal places.

Compute the following:

Report all values to TWO decimal places.

The Pearson Correlation = Answer

Standard Error (SEr) = Answer
tobs = Answer

#1 Transform r to z_r:

In our Table, we find that r = Answer

corresponds to z_r = Answer

#2 Compute the standard error of z_r

SEz_r = Answer

#3 Because this is the 95% confidence interval

z_Critical = ± Answer

#4 Compute the confidence interval around z_r

Answer ± Answer(Answer)= (Answer , Answer)

#5 Transform the confidence limits around zr to confidence limits around r

We find the z_r of Answer corresponds to r = Answer

Therefore, the 95% confidence interval around r = Answer is (Answer , Answer)

Use the data and the regression equation above to determine the SS_residuals

Report all values to TWO decimal places.

Ps	Time (X)	Happy (Y)	Y-predicted	Residual	Sq. Residual
1	2	2	Answer	Answer	Answer
2	2	4	Answer	Answer	Answer
3	4	3	Answer	Answer	Answer
4	5	6	Answer	Answer	Answer
5	7	5	Answer	Answer	Answer
6	8	6	Answer	Answer	Answer
7	1	1	Answer	Answer	Answer
8	1	3	Answer	Answer	Answer
9	3	2	Answer	Answer	Answer
10	4	5	Answer	Answer	Answer
11	6	4	Answer	Answer	Answer
12	5	7	Answer	Answer	Answer
		∑ = Answer	∑ = Answer	∑ = Answer	∑ = Answer

Use the SS_residualto determine the standard error of the estimate:

Est. SE = Answer

please answer everything that says answer. i did the first chart but im confused on the rest

Use all your calculations to complete this Table of descriptive statistics (you will use this
table to compute the correlation, SEr and t-test):
Statistic
Value
34
SP
SSX
SSY
In
df
Compute the following:
The Pearson Correlation
Standard Error (SEr) =
58
tobs =
38
Report all values to TWO decimal places.
12
10

of
Report all means to TWO decimal places.
|Happy
(Y)
2
Ps Time (X)
1 2
22
3 4
4 5
5 7
6 8
7 1
8 1
9 3
104
116
125
Mx =
4
+
6
5
CO
3
My =
4
(X-Mx) (Y - My) (X - Mx)² (Y - My)²
-2
-2
1
3
4
-3
-3
-1
0
2
1
Σ =
O
-2
O
2
1
2
co
-1
-2
1
O
3
[:
=
0
4
4
O
1
16
9
1
1
Σ =
58
4
+
CO
1
4
9
Σ=
38
(X - MX)(Y-
My)
W
O
2
8
3
O
O
3
Σ =
34

Accepted Answer

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