xi yi (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test

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xi
yi
(a)
What is the value of the standard error of the estimate? (Round
your answer to three decimal places.)
(b)
Test for a significant relationship by using
the t test. Use 𝛼 = 0.05.
State the null and alternative hypotheses.
H0: 𝛽1 ≠ 0
Ha: 𝛽1 =
0H0: 𝛽0 ≠ 0
Ha: 𝛽0 =
0 H0: 𝛽1 =
0
Ha: 𝛽1 ≠ 0H0: 𝛽0 =
0
Ha: 𝛽0 ≠ 0H0: 𝛽1 ≥ 0
Ha: 𝛽1 < 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.
Do not reject H0. We cannot conclude
that the relationship
between x and y is
significant.
Do not reject H0. We conclude that the
relationship
between x and y is
significant.
Reject H0. We cannot conclude
that the relationship
between x and y is
significant.
Reject H0. We conclude that the
relationship
between x and y is
significant.
(c)
Use the F test to test for a significant
relationship. Use 𝛼 = 0.05.
State the null and alternative hypotheses.
H0: 𝛽1 = 0
Ha: 𝛽1 ≠ 0H0: 𝛽1 ≠ 0
Ha: 𝛽1 =
0 H0: 𝛽0 =
0
Ha: 𝛽0 ≠ 0H0: 𝛽0 ≠ 0
Ha: 𝛽0 =
0H0: 𝛽1 ≥ 0
Ha: 𝛽1 < 0
Find the value of the test statistic. (Round your answer to two
decimal places.)
Find the p-value. (Round your answer to three
decimal places.)
p-value =
What is your conclusion?
Do not reject H0. We conclude that the
relationship
between x and y is
significant.
Reject H0. We cannot conclude that the
relationship
between x and y is
significant.
Do not reject H0. We cannot
conclude that the relationship
between x and y is
significant.
Reject H0. We conclude that the
relationship
between x and y is
significant.