In: Statistics and Probability
The number of weeks each of 10 patients took a bipolar medication and their Beck Depression Inventory-II (BDI-II) score at the end of the medication period is presented in the table below.
Patient Number |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
Weeks of Medication |
24 |
28 |
36 |
32 |
40 |
8 |
4 |
12 |
16 |
56 |
BDI-II Score |
39 |
31 |
18 |
21 |
18 |
43 |
41 |
39 |
33 |
15 |
Test the hypothesis that the weeks of medication and BDI-II scores are inversely related. Complete the table below.
X |
Y |
X2 |
Y2 |
XY |
24 | 39 | |||
28 |
31 |
|||
36 |
18 |
|||
32 |
21 |
|||
40 |
18 |
|||
8 |
43 |
|||
4 |
41 |
|||
12 |
39 |
|||
16 |
33 |
|||
56 |
15 |
|||
Σ = |
Σ = |
Σ = |
Σ = |
Σ = |
What is the rcv? Report to three decimal places.
For the question above, type your results and interpretation in an APA formatted paragraph.
Enter the data values above into Excel to generate a scatterplot with the regression line superimposed. The regression line will cross only one of the axes in the graph. Indicate which axis (which variable) the line crosses.
Using the values you entered, perform a correlation using SPSS and write the APA statistic according to the output. Do not include another results interpretation.
The regression line will cross only the y-axis in the graph when the value of the x=0.
Correlations | ||||
x | y | |||
x | Pearson Correlation | 1 | -.916** | |
Sig. (2-tailed) | .000 | |||
N | 10 | 10 | ||
y | Pearson Correlation | -.916** | 1 | |
Sig. (2-tailed) | .000 | |||
N | 10 | 10 | ||
Ho: rho=0
H1: rho > 0
We know that the p-value for one tail is half of the two-tail test. Hence, the p-value is less than 0.01 for the test and can conclude that the variables the weeks of medication (x) and BDI-II scores (y) are statistically related inversely.