SOLUTION: The following sample observations were randomly selected: x: 7 17 4 19 17 3 19 18 y: 13 6 17 22 22 11 9 12

Question 1206833: The following sample observations were randomly selected:

x:
7
17
4
19
17
3
19
18
y:
13
6
17
22
22
11
9
12

a. Not available in Connect.

b. Determine the regression equation.(Negative answer should be indicated by a minus sign. Do not round intermediate calculations and round the final answers to 4 decimal places.)

b =
a =
y' =
+
x

c. Determine the value of y' when x is 2. (Use the part b rounded answers to calculate the answer. Round the final answer to 4 decimal places.)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the regression equation is y = a + bx.
this equation becomes y = 13.3613 + .04913x
a = 13.3613
b = .04913

i'm not sure what you mean by y'.
it could be you mean y-hat.
if so, the regression equation is really y-hat = ...., which is shown as just y = 13.3613 + .04913x becomes:
the y-hat designation means that the value of y is based on the regression equation and is not an actual data point from the data set.

when x = 2, y = 13.3613 + .04913 * 2 which is equal to 13.45956.

here's a graph of the equation.

here's the results.

the results are:

r = .00348 which indicates a very weak positive correlation.
r^2 = .05899 which indicates that only about 6% of the value of y is explained by the correlation with the value of x which mean a very weak correlation.
f = .02095 which is not greater than the critical f value of 5.99.
this indicates the results are not significant which means there is insufficient data to conclude that a strong correlation exists.
p = .8896 which is significantly more than the critical p-value of .05 which, again, indicates that the results are not significant and therefore insufficient to determine that a strong correlation exists.

that's what i get from this analysis.

RELATED QUESTIONS
Based on the data shown below, calculate the regression line (each value to two decimal... (answered by ikleyn,MathLover1)

The following data on annual rates of return were collected from eleven randomly selected (answered by textot)

1. 6, 15, 12, 17, 10 2. 17, 11, 16, 18, 11, 6, 19, 20, 17, 15 3. 15, 20, 7, 14, 10, 7,... (answered by Fombitz)

find the mean, mode, median and range 1. 6, 13, 17, 14, 9, 13 2. 6, 15, 12, 17, 10... (answered by Fombitz)

The following observations were randomly selected. X: 5 3 6 3 4 4 6 8 Y: 13 15 7 12 13 (answered by stanbon)

Please help with this problem. No ISBN available to provide. Thank you!!!! . The... (answered by stanbon)

The data in the table that follows was collected by a large car manufacturer concerning... (answered by stanbon)

Construct a frequency distribution of the ages that 25 randomly selected smokers started... (answered by Edwin McCravy)

Can someone please help me ASAP. I have in the process of relocating and have lost my... (answered by rfer)