Listed below are altitudes (thousands of feet) and outside air temperatures (in degrees Fahrenheit) recorded on a recent flight.
Altitude: 3, 10, 14, 22, 28, 31, 33
Temperature: 54, 34, 21, -8, -33, -44, -57
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The Pearson's Correlation coefficient is r =
The slope of the best-fit line for this data is
The intercept of the best-fit line for this data is
Based on the correlation coefficient, we can say that:
A. There is a weak negative correlation between altitude and temperature.
B. There is a strong negative correlation between altitude and temperature.
C. There is a weak positive correlation between altitude and temperature.
D. There is a strong positive correlation between altitude and temperature.
E. There is no correlation between altitude and temperature.
Which of the following statements are true?
A. You would expect a temperature recorded at an altitude of 11 thousand feet to be about 3.7 degrees higher than a temperature recorded at an altitude of 10 thousand feet.
B. You would expect a temperature recorded at an altitude of 11 thousand feet to be about 3.7 degrees lower than a temperature recorded at an altitude of 10 thousand feet.
C. You would expect a temperature recorded at an altitude of 11 thousand feet to be about 69.5 degrees lower than a temperature recorded at an altitude of 10 thousand feet.
D. You would expect a temperature recorded at an altitude of 11 thousand feet to be about 1 degree lower than a temperature recorded at an altitude of 10 thousand feet.
E. You would expect a temperature recorded at an altitude of 11 thousand feet to be about 69.5 degrees higher than a temperature recorded at an altitude of 10 thousand feet.
(Relevant section: Introduction to Linear Regression)