Before you begin the assignment:
An overview of the data set:
This data set contains data for 200 different rock albums (i.e., each row in the data set represents the data for one album). Specifically, the following variables are included:
Questions:
1a) Use a scatterplot to examine the relationship between Adverts and Airplay.
Paste your scatterplot below:
1b) From the scatterplot, does there appear to be a strong correlation between Adverts and Airplay? If so, is the relationship positive or negative?
Type your answer below:
There is a strong relationship between Adverts and Airplay and it appears to be negative. It sits on the low end of the plot.
2a) Use a matrix scatterplot to examine all of the relationships between Sales, Adverts, and Airplay.
Paste your relevant output below:
2b) Describe the relationships between the variables. More specifically, do any of the variables appear strongly correlated? If there are correlations, is the relationship positive or negative?
Type your answer below:
Adverts and number of plays seem to have a negative correlation while album sales and adverts have a positive correlation.
3a) Examine the correlation between Adverts and Airplay.
Paste your relevant output below:
Correlations | |||
Advertising Budget (Thousands of Dollars) | No. of plays on Radio | ||
Advertising Budget (Thousands of Dollars) | Pearson Correlation | 1 | .102 |
Sig. (2-tailed) | .151 | ||
N | 200 | 200 | |
No. of plays on Radio | Pearson Correlation | .102 | 1 |
Sig. (2-tailed) | .151 | ||
N | 200 | 200 |
3b) Describe this correlation. What is the r-value? Does the r-value suggest a positive or negative correlation? Is the correlation weak or strong? Looking at the significance value, is the correlation significant?
Type your answer in complete sentences below:
The r-value is .102 and it is a positive correlation. The correlation is strong because the p value is .151 which is greater than .05 which makes it significant.
4a) Create a correlation matrix that depicts the correlations between Sales, Adverts, and Airplay.
Paste your relevant output below:
Correlations | ||||
Advertising Budget (Thousands of Dollars) | No. of plays on Radio | Album Sales (Thousands) | ||
Advertising Budget (Thousands of Dollars) | Pearson Correlation | 1 | .102 | .578** |
Sig. (2-tailed) | .151 | .000 | ||
N | 200 | 200 | 200 | |
No. of plays on Radio | Pearson Correlation | .102 | 1 | .599** |
Sig. (2-tailed) | .151 | .000 | ||
N | 200 | 200 | 200 | |
Album Sales (Thousands) | Pearson Correlation | .578** | .599** | 1 |
Sig. (2-tailed) | .000 | .000 | ||
N | 200 | 200 | 200 | |
**. Correlation is significant at the 0.01 level (2-tailed). |
4b) Are there any significant correlations between the variables? If so, explain which variables are correlated, and describe the nature of the correlation (i.e., positive or negative).
Type your answer below:
Album sales and Number of plays on have a significant correlation that are positive. They are greater than .05.
5a) Create an example of two variables (unrelated to the Album Sales data set) that you think would be negatively correlated. Describe the variables below.
Type your answer below:
Two variables that I think would be negatively correlated are gender and age. The gender of a person and their age varies. It would be negatively correlated in dataset.
5b) Create a new SPSS dataset that includes the two variables described in 5a. Enter hypothetical data for at least 10 participants. Run a scatterplot and then calculate the correlation using SPSS.
Paste your relevant output below:
5c) Describe the correlation that exists in your hypothetical data. Is it positive or negative? Is it significant?
Type your answer below:
There is no correlation that exists in the hypothetical data. The data is a more negative than positive it does not show that it is significant.