ONLY A TO C
ONLY A TO C
ONLY A TO C
ONLY A TO C
a. scatter.smooth(x,y) gives us the scatter plot and the regression line.
b. Covariance is 0.8358, very close to 1. So we can assume , chirping rate is positively correlated to temperature, and a linear regression works.
c. y=, where y is chirping rate, and x is temperature. We get,
is the regression line and here's the plot and code-
1. Contin 1. Crickets make a chirping noise by sliding their wings rapidly over each other. Perhaps you have noticed that the number of chirps seems to increase with the temperature. The following data list the temperature (in degrees Fahrenheit) and the number of chirps per second for the striped ground cricket. Temperature, Chirps per Temperature, Chirps per Second, Second, 88.6 20.0 16.0 933 716 79.6 80. 6 16. 01 153 17.0 76. 3 144 Source: George W. Pierce. The...
A biologist wishes to determine if there is a relationship between temperature and the number of chirps per second of crickets. Below is the data of 15 crickets at various temperatures. Chirps/sec Temperature 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 Then the linear formula is: Chirps =___+___ *Temperature
B related to tempersture, and the relationship appears to be very nesrly linear. A cricket Biolagists have not ced that the chirping rate of crickets of a certain species is minute at 70 F and 153 chirps per minute at 80°F (a) Find a inear equation that models the temperature T as a function of the number of chirps per minute N T- (b) What is the slope of the graph? What does it represent? as rapidly es the number...
Example 19.8. The frequency of chirping of a cricket is thought to be related to temperature. This suggests the possibility that temperature can be estimated from the chirp frequency. Let the following data on the number chirps per second, r by the striped ground cricket and the temperature, y in Fahrenheit is shown below: 20 1620 18 17 16 15 17 15 16 8972 93 8481 75 7082 69 83 Find the normal regression line that approximates the regression of...
The common cricket can be used as a crude thermometer. The colder the temperature, the slower the rate of chirping. The table below shows the average chirp role of a cricket at various temperatures Chirp Rate Temperature (chirps/second) СЕ 1.9 47.7 2.7 67.7 2.8 1.4 42.8 1.7 54.7 3.0 63.3 65.4 The last-squares regression line for predicting the temperature from the chirp rate is 9 -25.6974 + 13.8826x Predict the temperature if the chirp rate is 16 chirps per second....
2. (Sheet #2) (10 points) The table represents the Temperature in Fahrenheit and the number of cricket chirps per sec. Temp (x) 88.6 71.6 93.3 84.3 75.2 82 69.4 83.3 79.6 80.6 Chirps (y) 20 16 19.8 18.4 15.5 17.1 15.4 16.2 15 16 c. a. (2 pts) Create a scatter plot. b. (2 pts) Add a trendline with an equation and the coefficient of determination. Calculate the correlation coefficient. (2 pts) How do you describe the correlation between the...
The common cricket can be used as a crude thermometer. The colder the temperature, the slower the rate of chirping. The table below shows the average chirp rate of a cricket at various temperatures. Chirp Rate (chirps/sec) Temperature (F) 2.4 61.9 3.8 83.6 3.7 71.8 2.0 47 3.4 65.1 3.9 75.8 Find the correlation coefficient for the data. Round to three decimal places Find the least-squares regression line equation for predicting the temperature, y, from the chirp rate, x....
Chirp Rate (chirps/sec) Temperature (F) 2.4 61.9 3.8 83.6 3.7 71.8 2.0 47 3.4 65.1 3.9 75.8 The common cricket can be used as a crude thermometer The colder the temperature, the slower the rate of chirping. The table below shows the average chirp rate of a cricket at various temperatures. 1. Find the correlation coefficient for the data. Round to three decimal places. 2. Find the least-squares regression line equation for predicting the temperature, y, from the chirp rate,...
The common cricket can be used as a crude thermometer. The colder the temperature, the slower the rate of chirping. The table below shows the average chirp rate of a cricket at various temperatures. 1. Find the correlation coefficient for the data. Round to three decimal places. 2. Find the least-squares regression line equation for predicting the temperature, y, from the chirp rate, X. Choose the correct answer. Oy = -0.683 + 0.057x Oy = 0.057 -0.683x Oy = 14.354...
3. Naturalists have long known that you can use the rate at which crickets chirp to predict the temperature. Below are some data. Enter them in your trusty T Chirps in 1 minutes 882 1188 | 1104864 1200 ) 1032 1960 9oo Temperature (F69.7 93.3 84.3 76.3 88.6 82.6 716 79.6 a) What would be a good window for a scatter plot? b) Using that window, sketch the scatter plot. c). Find the equation of the regression bie d). Is...