1. Solve for x in the following problem.
1 answer:
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Answer:
The closest to the output when the input is approximately 12
Step-by-step explanation:
The given (x, y) coordinates are;
The line of best fit is
x, 0, 3, 6, 6, 8, 10, 11
y, -2, 7, 16, 15, 21, 28, 31
The line of best fit can be obtained from the scatter plot of the given data from where a linear pattern is apparent
A linear line of best fit is a trend line that gives an overall cumulative minimum distance of all the points from the line
The method for constructing a line of best fit includes;
1) The least Squares Method
2) The method of linear regression
3) Construction of line of best fit
a) The area method
b) The dividing method
The least squares equation is given as follows;
= a + b·x
From MS Excel, we have;
= 266.8571
= 89.42857
∴ b = 266.8571/89.42857 ≈ 2.984
From MS Excel, with the given data, we get;
= 16.57143
= 6.285714
Therefore;
a = 16.57143 - 2.984 × 6.285714 = -2.185
Therefore, we get the following regression equation;
= -2.185 + 2.9·x
Where;
x = The input
= The output
Therefore, when x = 5, we get;
= -2.185 + 2.9 × 5 = 12.315
Therefore, the closest to the output when the input is 5, y ≈ 12
Given that square print has side length = 8 inches
Given that you make a frame using strip of wood 1 1/4 inch wide. Since frame is on both sides of the square print so new side length after adding the frame = inches
Area of the square is given by formula where x is the side of square
Shape of the frame including print will also be square so
Area of the frame including print square inches
Area of the print = square inches
We have to find the area of frame only so we can subtract area of print from the total area
Area of frame = [Area of frame including print] - [Area of print]
Area of frame = 110.25-64 = 46.25
Hence final answer is 46.25 square inches