Suppose Daily High and Low Temperature Measures Were Taken for 50

question 32

Multiple Choice

Suppose daily high and low temperature measures were taken for 50 days. For each day, the daily high temperature was exactly 10 degrees higher than the daily low temperature. For example, on a day with a high temperature of 80° , the low temperature was 70° . What is the best estimate of the correlation coefficient between the daily high and daily low temperatures?

• A)No conclusions can be drawn without seeing a scatterplot of the data.
• B)The correlation coefficient between the daily high and low temperatures is equal to -1.
• C)The correlation coefficient between the daily high and low temperatures is equal to 0.
• D)The correlation coefficient between the daily high and low temperatures is equal to 1.

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Definitions:

Area

In geometry, the measurement of the extent of a two-dimensional surface or shape, expressed in square units.

P(Z < 3.00)

A statistical expression indicating the probability of a standard normal variable being less than 3.00.

P(Z > 1.9)

The probability that a standard normal random variable Z exceeds the value of 1.9, commonly used in statistical analysis to find tail probabilities.

Mean

The average of a set of numbers, calculated by dividing the sum of the values by their count.