In order to examine the relationship between the selling price of a used car and its age, an analyst uses data from 20 recent transactions and estimates Price = 60 +6₁ Age + ε. A portion of the regression results is shown in the accompanying table. (You may find it useful to reference the t table.) Standard Error 732.41 128.98 Intercept Age a. Specify the competing hypotheses in order to determine whether the selling price of a used car and its age are linearly related. Coefficients 21,268.91 -1,201.23 He: 612 0; HA: 61 < 0 He: 61 = 0; HA: 61 # 0 He: 61 ≤ 0; HA: 61 > 0 Test statistic t Stat 29.040 p-value 1.42E-16 2.64E-08 b. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

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In order to examine the relationship between the selling price of a used car and its age, an analyst uses data from 20 recent
transactions and estimates Price = 60 +6₁ Age + ε. A portion of the regression results is shown in the accompanying table. (You may
find it useful to reference the t table.)
Standard
Error
732.41
128.98
Intercept
Age
a. Specify the competing hypotheses in order to determine whether the selling price of a used car and its age are linearly related.
Coefficients
21,268.91
-1,201.23
Ho: 612 0; HA: 61 < 0
Ho: 61 = 0; HA: 61 0
Ho: 61 ≤ 0; HA: 61 > 0
Test statistic
t Stat
29.040
p-value
1.42E-16
2.64E-08
b. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal
places.)
Transcribed Image Text:In order to examine the relationship between the selling price of a used car and its age, an analyst uses data from 20 recent transactions and estimates Price = 60 +6₁ Age + ε. A portion of the regression results is shown in the accompanying table. (You may find it useful to reference the t table.) Standard Error 732.41 128.98 Intercept Age a. Specify the competing hypotheses in order to determine whether the selling price of a used car and its age are linearly related. Coefficients 21,268.91 -1,201.23 Ho: 612 0; HA: 61 < 0 Ho: 61 = 0; HA: 61 0 Ho: 61 ≤ 0; HA: 61 > 0 Test statistic t Stat 29.040 p-value 1.42E-16 2.64E-08 b. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
c-1. Find the p-value.
O p-value ≥ 0.10
O 0.05 ≤ p-value < 0.10
O 0.02 s p-value < 0.05
O 0.01 ≤ p-value < 0.02
O p-value < 0.01
c-2. At the 5% significance level, is the age of a used car significant in explaining its selling price?
we
conclude that the age of a used car is significant in explaining its selling price.
Transcribed Image Text:c-1. Find the p-value. O p-value ≥ 0.10 O 0.05 ≤ p-value < 0.10 O 0.02 s p-value < 0.05 O 0.01 ≤ p-value < 0.02 O p-value < 0.01 c-2. At the 5% significance level, is the age of a used car significant in explaining its selling price? we conclude that the age of a used car is significant in explaining its selling price.
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