What are the assumptions of Pearson’s correlation? Bradford Electric Illuminating is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in private single-family residences. A random sample of 5 houses yields the following.

Number of rooms 11 10 14 7 9
Kilowatts-hours(thousands) used 9 8 11 5 9
  1. Find the correlation coefficient between the number of rooms and kilowatts-hours used. Interpret the result.
  2. Determine the regression equation of kilowatts hours used on the number of rooms. Interpret the value of the regression coefficient.
  3. Estimate the kilowatts-hours used for an 8 rooms house.

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