Question

10) Which of the following statistical measures can never be negative (regardless of what is being measured, even if the measured values are negative)?

a) IQR b) T-score c) Standard Deviation of the Sample Mean d) Correlation e) median f) the Sum of the Squared Residuals

         

Use the following table, the correlation-and-regression calculator, and the correlation-and-p-value calculator to answer question 10 below. For all questions below, the number of points each is worth is in [ ].

Temperature (oF) 69.7
93.3
84.3

76.3 88.6 82.6 71.6 79.6 87.3

Cricket Chirps per minute 882
1188
1104

864
1200
1032
960
900
1149

10a) [4] If the temperature decreases by 6 degrees F, what do you predict will be the increase or decrease (You must specify which.) in the number of cricket chirps per minute? Round to the nearest integer.

10b) [4] How many cricket chirps per minute do you expect when the temperature is 73 degrees F? Round to the nearest integer.

10c) [4] Find the correlation between these variables, and the (one-sided) p-value associated with this correlation? Round both to the nearest 0.001.

10d) [1] Is the relationship between temperature and cricket chirps statistically significant? (For credit, your answer must be both correct and consistent with your answer to part a as well as correct.)

Answer 1