Use the following table to answer the questions. (Give your answers correct to two decimal places.)
x 1 1 3 3 5 5 7 7 9 9
y 3 2 6 1 3 3 3 2 5 3
(a) Find the equation of the line of best fit.
y hat = 2.6+.1x
(b) Find the ordinates y hat for the points on the line of best fit whose abscissas are x = 1, 3, 5, 7, and 9
Not sure how to do these, I first did half of them and that was wrong.
Which one wrong
Which one is wrong.
I posted answer yesterday
x = (1/3)y
3(x) = (1/3)y *3
y = 3x
x y
1 3
3 9
5 15
7 21
9 27
They all was wrong on (B).
To find the ordinates y hat for the points on the line of best fit, you can substitute the given abscissas (x-values) into the equation of the line.
The equation of the line of best fit is given as:
y hat = 2.6 + 0.1x
For x = 1, substitute the value of x into the equation:
y hat = 2.6 + 0.1(1)
y hat = 2.6 + 0.1
y hat = 2.7
For x = 3, substitute the value of x into the equation:
y hat = 2.6 + 0.1(3)
y hat = 2.6 + 0.3
y hat = 2.9
For x = 5, substitute the value of x into the equation:
y hat = 2.6 + 0.1(5)
y hat = 2.6 + 0.5
y hat = 3.1
For x = 7, substitute the value of x into the equation:
y hat = 2.6 + 0.1(7)
y hat = 2.6 + 0.7
y hat = 3.3
For x = 9, substitute the value of x into the equation:
y hat = 2.6 + 0.1(9)
y hat = 2.6 + 0.9
y hat = 3.5
Therefore, the ordinates y hat for the points on the line of best fit whose abscissas are x = 1, 3, 5, 7, and 9 are 2.7, 2.9, 3.1, 3.3, and 3.5 respectively.