Scientists have studied whether one can predict temperature based on the frequency of a cricket's chirps. Consider the following two scatterplots based on data gathered in one study of 30 crickets, with temperature measured in degrees Fahrenheit and chirp frequency measured in chirps per minute:
a. If the goal is to predict temperature based on a cricket's chirps per minute, which is the appropriate scatterplot to examine, A or B? Explain briefly.
Consider the following computer output:
b. Determine the value of the correlation coefficient between temperature and chirp frequency.
c. What temperature would the regression model predict if the cricket were chirping at 110 chirps per minute? Is this prediction an example of extrapolation? Explain briefly.
d. Identify the value of the test statistic for testing whether the population slope coefficient is zero.
e. Produce and interpret a 90% confidence interval for the population slope coefficient.

Question

Scientists have studied whether one can predict temperature based on the frequency of a cricket's chirps. Consider the following two scatterplots based on data gathered in one study of 30 crickets, with temperature measured in degrees Fahrenheit and chirp frequency measured in chirps per minute:
  a. If the goal is to predict temperature based on a cricket's chirps per minute, which is the appropriate scatterplot to examine, A or B? Explain briefly.
Consider the following computer output:
  b. Determine the value of the correlation coefficient between temperature and chirp frequency.
c. What temperature would the regression model predict if the cricket were chirping at 110 chirps per minute? Is this prediction an example of extrapolation? Explain briefly.
d. Identify the value of the test statistic for testing whether the population slope coefficient is zero.
e. Produce and interpret a 90% confidence interval for the population slope coefficient.

Quizplus · Accepted Answer

The Answer of Scientists have studied whether one can predict temperature based on the frequency of a cricket's chirps. Consider the following two scatterplots based on data gathered in one study of 30 crickets, with temperature measured in degrees Fahrenheit and chirp frequency measured in chirps per minute:
  a. If the goal is to predict temperature based on a cricket's chirps per minute, which is the appropriate scatterplot to examine, A or B? Explain briefly.
Consider the following computer output:
  b. Determine the value of the correlation coefficient between temperature and chirp frequency.
c. What temperature would the regression model predict if the cricket were chirping at 110 chirps per minute? Is this prediction an example of extrapolation? Explain briefly.
d. Identify the value of the test statistic for testing whether the population slope coefficient is zero.
e. Produce and interpret a 90% confidence interval for the population slope coefficient.

Scientists Have Studied Whether One Can Predict Temperature Based on the Frequency