Question

Biologists have observed that the chirping rate of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. (a) Find and graph the regression liney=(b) Use the linear regression to estimate the chirping rate at 100 F

Answer 1

To find the regression line, first, we have to calculate the mean of each column, let's call X Temperature and Y Chirping Rate. The equation we have to find has the form

$y=a+bx$

Where,

$\begin{gathered} a=\frac{n\Sigma xy-(\Sigma(x))(\Sigma(y)}{n\Sigma(x)^2-(\Sigma(x))^2} \\ b=\frac{\Sigma y-b(\Sigma(x))}{n} \end{gathered}$

Where n = 9. Let's create a table to show each summation.