Concern over the weather associated with El Nio has increased interest in the possibility that the climate

Concern over the weather associated with El Niño has increased interest in the possibility that the climate on Earth is getting warmer. The most common theory relates an increase in atmospheric levels of carbon dioxide (CO₂), a greenhouse gas, to increases in temperature. Here is part of a regression analysis of the mean annual CO₂ concentration in the atmosphere, measured in parts per thousand (ppt) at the top of Mauna Loa in Hawaii, and the mean annual air temperature over both land and sea across the globe, in degrees Celsius. The scatterplots
and residuals plots indicated that the data were appropriate for inference, and the response variable is Temp.

R squared 5 25.8%

s = 0.0854 with 37 - 2 = 35 degrees of freedom

a) Write the equation of the regression line.

b) Find the value of the correlation and test whether the true correlation is zero. Is there evidence of an association between CO₂ level and global temperature?

c) Find the t-value and P-value for the slope. Is there evidence of an association between CO₂ level and global temperature? What do you know from the slope and t-test that you might not have known from testing the correlation?

d) Do you think predictions made by this regression will be very accurate? Explain.

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Variable SE(Coeff) 0.0557 Coeff 16.4328 Intercept CO2 0.0405 0.0116