Consider the data. 2 3 4 8. 11 13 SSE (a) Compute the mean square error using equation s = MSE = (Round your answer to two decimal places.) n- 2 SSE (b) Compute the standard error of the estimate using equation s = MSE = (Round your answer to three decimal places. n - 2 (c) Compute the estimated standard deviation of b, using equation s, = (Round your answer to three decimal places (d) Use the t test to test the following hypotheses (a = 0.05): Hoi B, = 0 H B, 0 %3D Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. O Do not reject H We conclude that the relationship between x and y is significant. O Reject H We conclude that the relationship between x and y is significant. O Do not reject H. We cannot conclude that the relationship between x and y is significant. O Reject H. We cannot conclude that the relationship between x and y is significant.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
The second slide is the first part of the question and the first slide is the second part of the question.
![(e)
Use the F test to test the hypotheses in part (d) at a 0.05 level oF significance. Present the results in the analysis of variance table format.
Set up the ANOVA table. (Round your values for MSE and Fto two decimal places, and your p-value to three decimal places.)
Source
of Variation
Sure
of Squares
Hean
N Freedonn
pvalue
Regression
Error
Total
Find the value of the test statistic. (Round your answer to two decimal places.)
tFind the p-value. (Round your answer to three decimal places.)
p-value
State your conclusion.
O Do not reject H. We conclude that the relationship between x and y is significant.
O Reject H,. We conclude that the relationship between x and y is significant.
O Do not reject H,. We cannot conclude that the relationship between x and y is significant.
O Reject H,. We cannot conclude that the relationship between x and y is significant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70237df8-dfb4-41d0-af11-e6f29414ce12%2F4d1a480e-d022-46df-9e4a-44c80f38ab26%2Fmfeov7k_processed.jpeg&w=3840&q=75)
![Consider the data.
1.
2.
4
2 8
1
13
SSE
(a) Compute the mean square error using equation s = MSE
(Round your answer to two decimal places.)
2
SSE
(b) Compute the standard error of the estimate using equation s = V MSE =
(Round your answer to three decimal places.)
n- 2
(c) Compute the estimated standard deviation of b, using equation s, = =Z
V>(x, - x)*
(Round your answer to three decimal places.)
(d) Use the t test to test the following hypotheses (a = 0.05):
Hg: B, = 0
H. B, 0
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Do not reject H. We conclude that the relationship between x and y is significant.
O Reject H.. We conclude that the relationship between x and y is significant.
O Do not reject H,. We cannot concl ude that the relationship between xand y is significant.
O Reject H,. We cannot conclude that the relationship betweenx and y is significant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70237df8-dfb4-41d0-af11-e6f29414ce12%2F4d1a480e-d022-46df-9e4a-44c80f38ab26%2Fwgibjor_processed.jpeg&w=3840&q=75)
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