A scientist believes that the frequency of cricket chirping is a good predictor of the ambient temperature. A random sample produced the following data where x is the number of cricket chirps in one minute and y is the ambient temperature in Fahrenheit.

X/Y

128/70

227/93

188/84

150/76

210/89

185/83

137/72

171/80

(a) Find an equation of the least squares regression line. Round the slope and y-intercept value to two decimal places. Describe method for obtaining results.

(b) Based on the equation from part (a), what is the predicted temperature when a cricket chirps 300 times in one minute? Show all work and justify your answer.

(c) Based on the equation from part (a), what is the predicted temperature when a cricket chirps 140 times in one minute? Show all work and justify your answer.

(d) Which predicted temperature that you calculated for (b) and (c) do you think is closer to the true temperature and why?