It's false due to the squares being reduced to their minimum values.
To calculate the mean absolute deviation of
1,2,3,4,5,6,7
, we start by finding the mean;
(1+2+3+4+5+6+7) =28/7
= 4
. Next, we determine the absolute differences of each data point from the mean (x-μ)
= -3,-2,-1,0,1,2,3
. The absolute values are 3,2,1,0,1,2,3
. Now we compute the mean of these absolute differences,
3+2+1+0+1+2+3 = 12
= 12/7
= 1.7143
. Thus, the mean is 4, and the Mean absolute deviation comes out to be 1.7143
Given that the relationship is linear.
The equation can be expressed as y = mx + c.
Substituting, when x = 0, we have y = 32.
Thus, 32 = c.......( 1 )
Then, when x = 100, y results in 212.
Which gives us:
212 = 100m + c.......( 2 )
By equating equations 1 and 2, we obtain:
100m = 212 - 32
Solving for x yields 1.8.
The final equation is therefore y = 1.8x + 32.
Hence, this represents the required solution.
Define x as the distance in miles. This scenario can be expressed with the inequality 0.5x + 3 < 10, where x corresponds to the miles traveled. To solve this, begin by subtracting 3 from each side, followed by dividing everything by 0.5. The outcome indicates x < 14, meaning Carl can cover less than 14 miles, though he is 15 miles away from his destination; therefore, he will opt for a bus instead.