Scatterplots and Correlations

An overview of the data set:

 

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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:

 

· AlbumNumber: This is the ID number of the album. There are 200 albums, so this variable ranges from 1 to 200.

· RecordCompany: This is the record company that promoted the album. Values of “1” stand for Next Generation Records, and values of “2” stand for Worldwide Entertainment.

· Adverts: This is the advertising budget of the album. The values are in thousands of dollars.

· Sales: These are the sales of the album. The values are in thousands of sales.

· Airplay: This is the number of times that the album was played on the radio in the last year.

· Attract: This is the overall physical attractiveness of the band as rated by independent raters. The values for this variable range from 1 to 10.

 

Questions:

 

1a) Use a scatterplot to examine the relationship between Adverts and Airplay.

 

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1b) From the scatterplot, does there appear to be a strong correlation between Adverts and Airplay? If so, is the relationship positive or negative?

 

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2a) Use a matrix scatterplot to examine all of the relationships between Sales, Adverts, and Airplay.

 

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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?

 

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3a) Examine the correlation between Adverts and Airplay.

 

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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?

 

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4a) Create a correlation matrix that depicts the correlations between Sales, Adverts, and Airplay.

 

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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).

 

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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.

 

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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.

 

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5c) Describe the correlation that exists in your hypothetical data. Is it positive or negative? Is it significant?

 

Type your answer below:

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