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.
