Question

the table shown lists the average global temperature in 5 - year spans from 1957 to 2016. define independent:__ dependent: range: domain: desmos says... m = b = __ years span average temperature °f 1957 - 61 57.250 1962 - 66 57.121 1967 - 71 57.146 1972 - 76 57.184 1977 - 81 57.446 1982 - 86 57.445 1987 - 91 57.780 1992 - 96 57.700 1997 - 01 58.053 2002 - 06 58.262 2007 - 11 28.244 2012 - 16 58.448

Explanation:

Step1: Identify independent variable

The years (time - spans) are what we can change or observe first, so the independent variable is the 5 - year time - spans (1957 - 61, 1962 - 66, etc.).

Step2: Identify dependent variable

The average global temperature depends on the time - span, so the dependent variable is the average global temperature in °F.

Step3: Determine domain

The domain is the set of all possible input values (independent variable values). Here, it is the set of 5 - year time - spans from 1957 - 61 to 2012 - 16.

Step4: Determine range

The range is the set of all possible output values (dependent variable values). It is the set of all average global temperature values in the table: {57.250, 57.121, 57.146, 57.184, 57.446, 57.445, 57.780, 57.700, 58.053, 58.262, 28.244, 58.448} (assuming the 28.244 is a typo and should be in the correct range of temperatures).

Step5: Regarding "Desmos says... M and B"

To find the slope (M) and y - intercept (B) for a linear regression, you would input the data into Desmos. First, assign x - values to the time - spans (e.g., 1 for 1957 - 61, 2 for 1962 - 66, etc.) and y - values to the average temperatures. Then use the linear regression feature in Desmos. Without actually using Desmos, we can't calculate the exact values of M and B. But the general process is to use the formula for the least - squares regression line $y = Mx + B$ where $M=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^{2})-(\sum x)^{2}}$ and $B=\bar{y}-M\bar{x}$, with n being the number of data points, $\bar{x}$ and $\bar{y}$ being the means of the x and y values respectively.

Answer:

Independent: 5 - year time - spans
Dependent: Average global temperature in °F
Domain: {1957 - 61, 1962 - 66, 1967 - 71, 1972 - 76, 1977 - 81, 1982 - 86, 1987 - 91, 1992 - 96, 1997 - 01, 2002 - 06, 2007 - 11, 2012 - 16}
Range: {57.250, 57.121, 57.146, 57.184, 57.446, 57.445, 57.780, 57.700, 58.053, 58.262, 28.244, 58.448} (typo in 28.244 possible)
M: (To be calculated using Desmos or regression formula)
B: (To be calculated using Desmos or regression formula)