Have you ever played the game Scrabble^o? It is a word building game where certain letters earn you more points than others when you use them in your word. Here
is the table of letters and the corresponding Scrabble points:

In a statistics class, students were asked to calculate the number of Scrabble points their names would earn. For example, the Scrabble score for the name Tom Sawyer would be 1 + 1 + 3 + 1 + 1 + 4 + 4 + 1 + 1 = 17 points. The data file ScrabbleNames contains data on the following two variables: number of letters in a student€™s name and the corresponding Scrabble score. Enter the data into the Corr/Regression applet.
a. Identify the type of study: randomized experiment or observational study.
b. Identify the experimental/observational units in this study.
c. Identify the two variables of interest and whether each is categorical or quantitative. Which variable do you think makes more sense to use as the explanatory variable and which as the response variable?

d. Produce a scatterplot and comment on the association between the variables as revealed in the scatterplot. (Remember to comment on form, direction, strength, and unusual observations.)

e. Report the value of the correlation coefficient. Does the value of the correlation coefficient support your answer in part (d)? Explain how you are deciding.

Transcribed Image Text:

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