Consider the following regression results based on 20 observations. [You may find it useful to reference the t table.] Coefficients Standard Error t Stat p-value Intercept 32.7486 4.4840 7.303 0.000 x1 0.3112 0.1486 2.094 0.051 a-1. Choose the hypotheses to determine if the intercept differs from zero. H0: β0 ≥ 0; HA: β0 < 0 H0: β0 ≤ 0; HA: β0 > 0 H0: β0 = 0; HA: β0 ≠ 0 a-2. At the 5% significance level, what is the conclusion to the hypothesis test? Does the intercept differ from zero? Reject H0; the intercept is greater than zero. Reject H0; the intercept differs from zero. Do not reject H0; the intercept is greater than zero. Do not reject H0; the intercept differs from zero. b. At the 5% significance level, can we conclude the slope differs from zero? Yes, since the p-value is less than the significance level. No, since the p-value is less than the significance level. Yes, since the p-value is not less than the significance level. No, since the p-value is not less than the significance level.
Consider the following regression results based on 20 observations. [You may find it useful to reference the t table.] Coefficients Standard Error t Stat p-value Intercept 32.7486 4.4840 7.303 0.000 x1 0.3112 0.1486 2.094 0.051 a-1. Choose the hypotheses to determine if the intercept differs from zero. H0: β0 ≥ 0; HA: β0 < 0 H0: β0 ≤ 0; HA: β0 > 0 H0: β0 = 0; HA: β0 ≠ 0 a-2. At the 5% significance level, what is the conclusion to the hypothesis test? Does the intercept differ from zero? Reject H0; the intercept is greater than zero. Reject H0; the intercept differs from zero. Do not reject H0; the intercept is greater than zero. Do not reject H0; the intercept differs from zero. b. At the 5% significance level, can we conclude the slope differs from zero? Yes, since the p-value is less than the significance level. No, since the p-value is less than the significance level. Yes, since the p-value is not less than the significance level. No, since the p-value is not less than the significance level.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Consider the following regression results based on 20 observations. [You may find it useful to reference the t table.]
| Coefficients | Standard Error | t Stat | p-value | |
| Intercept | 32.7486 | 4.4840 | 7.303 | 0.000 |
| x1 | 0.3112 | 0.1486 | 2.094 | 0.051 |
a-1. Choose the hypotheses to determine if the intercept differs from zero.
-
H0: β0 ≥ 0; HA: β0 < 0
-
H0: β0 ≤ 0; HA: β0 > 0
-
H0: β0 = 0; HA: β0 ≠ 0
a-2. At the 5% significance level, what is the conclusion to the hypothesis test? Does the intercept differ from zero?
-
Reject H0; the intercept is greater than zero.
-
Reject H0; the intercept differs from zero.
-
Do not reject H0; the intercept is greater than zero.
-
Do not reject H0; the intercept differs from zero.
b. At the 5% significance level, can we conclude the slope differs from zero?
-
Yes, since the p-value is less than the significance level.
-
No, since the p-value is less than the significance level.
-
Yes, since the p-value is not less than the significance level.
-
No, since the p-value is not less than the significance level.
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