The table shows the amount of milk that wisconsin dairy farms produced from 1939 to 1962 which linear model best fits this data?
year milk produced(in billions of lbs
1939 12
1962 15
2005 21
Can someone please explain this problem
Steve can you help me on this problem?
So fare the only answer I found for it was 12.5
To find the linear model that best fits this data, we need to determine the equation of the line that represents the relationship between the year and the milk produced.
First, let's plot the given data points on a graph. The x-axis represents the years, and the y-axis represents the milk produced.
Year (x-axis) | Milk Produced (y-axis)
1939 | 12
1962 | 15
2005 | 21
Once we plot these points and connect them with a straight line, we can find the equation of the line using the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
To calculate the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (1939, 12) and (1962, 15):
m = (15 - 12) / (1962 - 1939)
m = 3 / 23
m ≈ 0.13
Now, we need to find the y-intercept b. We can use one of the data points and plug it into the equation.
Using the point (1939, 12):
12 = 0.13 * 1939 + b
12 = 251.07 + b
b = 12 - 251.07
b ≈ -239.07
So, the equation of the line that represents the best linear model for this data is:
y = 0.13x - 239.07
This model can be used to estimate the milk produced (in billions of lbs) based on the year.