A) What is the correlation between CO2 and temperature? B) explain the meaning o

Question

A) What is the correlation between CO2 and temperature? B) explain the meaning of R-squared in this context C) Give the regression equation D) What is the meaning of the slope of this equation? E) What is the meaning of the y intercept of this equation? F) Are any assumptions violated? G) Suppose CO2 levels reach 364 ppm this year. What mean temperature does the regression predict from this info? Questor, Hetp * The following scatterplot shows the mean annual carbon dioxide (CO2) in parts per milion (ppm) measured at the top of a mountain and the mean annual air temperature over both land and sea across the globe, in degrees Celsius (C) A regresson predicting mean tomperature from CO2 produces the following output table Dependent vanable is Temperatare squared. 33 4% Variable Coefficient Intercept 15. 605 16725 CO2 0 003 aj What is the conrelation between CO2 and Temperature? 16500 (Round to three decimal places as needed) b) Explain the meaning of R-squared in this context O A Mean temperature accounts for 66 6% of tho variation n CO2 levee CO2 (ppm) CO2 levels account for 334% of the vanation n mean tomperatro CO2 levels account for 66 6% ofthe var aton in mean tomperatre OB D. Mean tomperatre accounts for 33 4% of the vanaton m CO2 levels Dependent vaniable is Temperature R squared 33 4% Variable Coefficient Intercept 15.605 CO20003 c) Give the regression equation Clkk to select your answer(s)

Explanation / Answer

mean annual carbon dioxide in parts per million measured at the top of a mountain and the mean annual air temperature over both land and sea across the globe in degrees Celsius.

A) What is the correlation between CO2 and temperature?

It is square root of R-square value and since it can be seen that CO2 has positive coefficient, there is a positive correlation beween CO2 and Temperature.

correlation = (33.4)0.5 = +57.7%

B) explain the meaning of R-squared in this context

33.4% of the observations of temperature have been explained by CO2. Option (B)

C) Give the regression equation

Temp = 15.605+.003 CO2

D) What is the meaning of the slope of this equation?

if CO2 value changes by 1 ppm, the temperature will change by 0.003 degree C. Option B

E) What is the meaning of the y intercept of this equation?

If CO2 value is 0 units, then temperature will be 15.605 which means in absence of CO2, temperature would be 15.605 (option B)

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