Question

In: Statistics and Probability

The following data set shows the number of chirps in one minute from a cricket and...

The following data set shows the number of chirps in one minute from a cricket and the temperature outside (in degrees Fahrenheit):

Chirps per Minute Temperature
104 56.2
115 67
130 74.8
135 60.6
142 69.4
143 61.1
152 69
164 74
166 78.5

What is the rank correlation coefficient?  (Round to three decimal places.)

What is the critical rho value at a 0.01 significance?

Do we have correlation?

  • No, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
  • No, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
  • Yes, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
  • Yes, the rank correlation coefficient is larger (in absolute value) than the critical rho value.

Solutions

Expert Solution

the rank correlation coefficient

rs = 0.6

What is the critical rho value at a 0.01 significance?

Do we have correlation?

No, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.

( Refer following table for critical value )


Related Solutions

The following data set shows the number of chirps in one minute from a cricket and...
The following data set shows the number of chirps in one minute from a cricket and the temperature outside (in degrees Fahrenheit): Chirps per Minute Temperature 98 58.4 107 67.5 111 54.4 112 67.2 113 68.4 120 62.2 123 76 129 69.3 137 65.9 140 66 142 67.2 148 64.7 151 80.4 158 76.4 165 84.5 What is the rank correlation coefficient?  (Round to three decimal places.) What is the critical rho value at a 0.01 significance? Do we have correlation?...
Given the following data of temperature (x) and the number of times a cricket chirps in...
Given the following data of temperature (x) and the number of times a cricket chirps in a second (y), run regression analysis and state the regression equation as long as there is a statistically significant linear relationship between the variables. Cricket Chirps per Second Temperature (F) 20 88.6 16 71.6 19.8 93.3 18.4 84.3 17.1 80.6 15.5 75.2 14.7 69.7 17.1 82 15.4 69.4 16.2 83.3 15 79.6 17.2 82.6 16 80.6 17 83.5 14.4 76.3
1:) The dataset shows 15 observations of the relationship between cricket chirps (measured in chirps per...
1:) The dataset shows 15 observations of the relationship between cricket chirps (measured in chirps per second) and outside ground temperature (in Fahrenheit). A. Create a scatterplot by putting chirps on the vertical axis and temperature on the horizontal axis. Be sure to properly label the scatterplot with a title, axes titles, and the proper units of the variables. B. Estimate the following relationship: ?h????=?0+?1???????????(Chirps) ̂=b_0+b_1 Temperature. C. Interpret the slope in the context of the problem. D. Interpret the...
The following given set of data shows a set of 15-minute kW demands for four customers...
The following given set of data shows a set of 15-minute kW demands for four customers over a 24-hour period. A 25kVA single-phase transformer serves all the customers. (a) Find the maximum 15-minute demand for each customer and the average 15-minute demand for each customer (b) Find the total kWh usage and the load factor for each customer. (c) For the 25kVA transformer, compute the maximum 15-minute coincident demand, the maximum 15-minute non-coincident demand and the load diversity. Time Cust...
You have a dataset of the average number of chirps per minute for a sample of...
You have a dataset of the average number of chirps per minute for a sample of 30 crickets. You find that the mean number of chirps per minute is 40 and that the number of chirps per minute has a standard deviation of 5 chirps. You want to test that the mean number of chirps per minute for a cricket is greater than 38 using a significance level of .05. What is the value of your test statistic? Round your...
10. The data show the bug chirps per minute at different temperatures. Find the regression​ equation,...
10. The data show the bug chirps per minute at different temperatures. Find the regression​ equation, letting the first variable be the independent​ (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted​ value? Chirps in 1 min   Temperature (°F) 985        83.8 1087      85.2 867        74.7 1060      83.2 764        64.9 807        65.5 What is the...
The data show the bug chirps per minute at different temperatures. Find the regression​ equation, letting...
The data show the bug chirps per minute at different temperatures. Find the regression​ equation, letting the first variable be the independent​ (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted​ value? Chirps in 1 min 1242, 1034, 1171, 799, 1217, 1060 Temperature ​(degrees​F) 92.9, 77.2, 87, 73.7, 95.3, 80.1 What is the regression​...
The data show the bug chirps per minute at different temperatures. Find the regression​ equation, letting...
The data show the bug chirps per minute at different temperatures. Find the regression​ equation, letting the first variable be the independent​ (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted​ value? Chirps in 1 min 1133 1037 1230 854 1157 894 Temperature ​(degrees°​F) 85.4 86.6 92.1 74.2 85.5 79.5 What is the regression​...
The data show the bug chirps per minute at different temperatures. Find the regression​ equation, letting...
The data show the bug chirps per minute at different temperatures. Find the regression​ equation, letting the first variable be the independent​ (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted​ value? Chirps in 1 min 810 1149 841 1013 863 930 Temperature ​(degrees​F) 68.2 88.3 73.5 84.6 75.6 74.3 What is the regression​...
The data show the bug chirps per minute at different temperatures. Find the regression​ equation, letting...
The data show the bug chirps per minute at different temperatures. Find the regression​ equation, letting the first variable be the independent​ (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted​ value? Chirps in 1 min 758 1226 1021 1221 1182 1178 Temperature ​(degrees°​F) 65.1 92.8 84.3 94.9 85.5 91.2 What is the regression​...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT