Correlation between Atmospheric Carbon Dioxide and Methane Concentrations and Temperature

QUESTION 1. Listed below are pairs of • atmospheric carbon dimdde (CO)r concentration (i1.11srts Per milhoq PPm) • temperature (in degrees Celsius) for different years: 
CO, 318 318 330 322 340 338 346 361 361 375 Temperature 13.0 13.9 14.0 14.2 13.8 14.3 14.0 14.8 14.6 14.7 
(a) Use a significance level of 0.01 to see if there is sufficient evidence to conclude that there is a linear correlation between atmospheric COr concentration and temperature. (b) rind the regression equation, letting the first variable (C0r) be the Pmaistor Mehl. x. (c) Predict the temperature P atmospheric COr coneen.at,na rise to 407 ppm. QUESTION 2. List, below are pairs of • atmospheric methane (C114) concentration (in parts per billion, ppb) • temperature (in degrees Celsius) for different years, 7'enlperature 1'3,94 IV: 1041 In' 1799 1833 1845 1850 1850 14.3 14.0 14.8 14.6 14,7 (a) Use a significance level of 0.01 to see if there is sufficient evidence to conclude that there is a linear correlation between atmospheric CH, concentration and temperature. (b) Find the regression equation, letting the finit variable (CH.) be the predictor variable x. (c) Predict tore temperature if atmospheric CHa concentrations rise to 1900 ppb. 
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