Concern over the weather associated with El Nino has increased interest in the p

Question

Concern over the weather associated with El Nino 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 (CO_2). a greenhouse gas, to increases in temperature. A regress on analysis of the mean annual CO_2 concentration (In ports per million) In the atmosphere a: the top of Mauna Loa in Hawaii and the mean annual air temperature (In degrees Celsius) over both land and sea across the globe for 37 years was performed Assume all conditions are met for ample linear regression inference What percent of the variation In average annual air temperatures. Is explained by the regression analysis with annual CO_2 levels over Maura Loa as the explanatory variable? Choose the correct answer below. A. 0.4% B. 0.081% C. 8.1% D. 33.4% E. 0.004%

Explanation / Answer

Solution:

Here we need to find out what percent of variation in average annual air temperature is explained by regression analysis with annual CO2 level over Mauna Loa a explainatory variable.

That is X: CO2 level over Mauna Loa

We have given that R-square= 33.4%

& R-square explains percent amount of total variation in y that can be explained by linear model y^ = a + b * x

that is y^ = 15.31 + 0.004 * x

Hence answer is D. 33.4%

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