Compute the correlation coefficient for this data set

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Reference no: EM131017813

Although an exhaust fan is present in nearly every bathroom, they often are not used due to the high noise level. This is an unfortunate practice because regular use of the fan results in a reduction of indoor moisture. Excessive indoor moisture often results in the development of mold which may lead to adverse health consequences. Consumer Reports in its January 2004 issue reports on a wide variety of bathroom fans. The following table displays the price (P) in dollars of the fans and the quality of the fan measured in airflow (AF), cubic feet per minute (cfm).

P	95	115	110	15	20	20	75	150	60	60
AF	60	60	60	55	55	55	85	80	80	75
P	160	125	125	110	130	125	30	60	110	85
AF	90	90	100	110	90	90	90	110	110	60

a. Plot the data in a scatterplot and comment on the relationship between price and airflow.

b. Compute the correlation coefficient for this data set. Is there a strong or weak relationship between price and airflow of the fans?

c. Is your conclusion in part (b) consistent with your answer in part (a)?

d. Based on your answers in parts (a) and (b), would it be reasonable to conclude that higher priced fans generate greater airflow?

Reference no: EM131017813

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