Suppose that you fitted the model E(y) = 𝛽0 + 𝛽1x + 𝛽2x2 to n = 20 data points and obtained the

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Suppose that you fitted the model
E(y)
= 𝛽0 + 𝛽1x + 𝛽2x2
to
n = 20 data points and obtained the
following MINITAB printout.
Do the data provide sufficient evidence to indicate that the
model contributes information for the prediction
of y? Use the p-value approach.
(Use 𝛼 = 0.05. Use the exact values found in
the MINITAB output.)
State the null and alternative hypotheses.
H0: At least one
of 𝛽1, 𝛽2 is not 0.
Ha: 𝛽1 = 𝛽2 =
0H0: 𝛽1 < 𝛽2
Ha: 𝛽1 ≠ 𝛽2 H0:
At least one of 𝛽1, 𝛽2 is not
0.
Ha: 𝛽1 > 𝛽2 >
0H0: 𝛽1 = 𝛽2 =
0
Ha: At least one
of 𝛽1, 𝛽2 is not
0.H0: 𝛽1 = 𝛽2
Ha: 𝛽1 ≠ 𝛽2
Find the test statistic.
F =