High School

Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Significance level: 0.05

Data:
- Chirps in 1 min: 1909/1998961, 1199, 797, 121
- Temperature (°F): 188.19, 14.7, 74.6, 93.4, 67.1, 89.7

Tasks:
a) Find the regression equation, \(\hat{y} = mx + b\), and round to 3 decimal places.
b) Calculate the predicted temperature value for 3000 chirps per minute using the regression equation.

Answer :

To find the best predicted temperature when a bug is chirping at a rate of 3000 chirps per minute, we can use linear regression. It seems that the provided data is not formatted properly, so we will make some assumptions to proceed.

Let's assume that the bug chirping rate (x) is our independent variable, and the temperature (y) is the dependent variable. We can use the given data points (chirp rate and temperature) to create a linear regression equation.

Step 1: Calculate the slope (m) and y-intercept (b) of the regression line using the given data points.

Step 2: Once we have the regression equation in the form y = mx + b, we can substitute the chirp rate (x) of 3000 chirps per minute into the equation to find the predicted temperature (y).

For part a), substitute x = 3000 into the regression equation and round the result to 3 decimal places.

For part b), the predicted value would be the result obtained from part a).

It's important to note that without properly formatted data, it is difficult to provide an accurate answer. Please ensure that the data is formatted correctly and provide any missing information for a more accurate response.

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