Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
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If the data consist of two distinct points, then the least-squares line is just the line that passes through the two points.
What will be an ideal response?
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Suppose that we are given two data points
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If we try to fit a straight line to these data points, the line will miss the first and the second data points by the amounts d1, d2, respectively.
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The principle of least squares states that the straight line L that fits the data points best is the one chosen by requiring that the sum of the squares
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be made as small as possible. In this case the smallest sum is zero.
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when 
and 
.
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Therefore, the required least-squares line is just the line that passes through the two points.
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Answer the following statement(s) true (T) or false (F)
Constructivism is sometimes mistaken for a theory of teaching, when it is actually a theory of learning.
Solve the problem.Suppose c(x) = x3 - 16x2 + 20,000x is the cost of manufacturing x items. Find a production level that will minimize the average cost of making x items.
A. 9 items B. 8 items C. 10 items D. 7 items
Find an equation for the ellipse described.Center at (0, 0); focus at (0, -3); vertex at (0, 4)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Use transformations to graph the function.f(x) = 6
- 7
A. 
B. 
C. 
D. 