Suppose you construct a simple linear regression model. Using 5 observations the LSE of the slope...
Suppose you construct a simple linear regression model. Using 5 observations the LSE of the slope is calculated as 0.3 with associated standard error .86. Now you wish to test H0:β=0 versus H1:β≠0 at the 0.05 significance level. Applying an appropriate test, you
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reject null |
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fail to reject null |
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either reject or fail to reject null |
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have no conclusion |
Homework Answers
here as test statsitc =estimated slope/standard error =0.3/0.86 =0.349
as at 0.05 level and (n-2=3) degree of freedom ; critical t =3.182
for test statistic is not in rejection region
fail to reject null
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Suppose you construct a simple linear regression model. Using 5
observations the LSE of the slope...
please help! Following is a simple linear regression model: y = a + A + &...
please help!
Following is a simple linear regression model: y = a + A + & The following results were obtained from some statistical software. R2 = 0.523 Syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Interecpt Slope of X Parameter Estimate 0.519 -0.707 Std. Err. of Parameter Est 0.132 0.239 Note: For all the calculated numbers, keep three decimals. Write the fitted model (5 points) 2. Make a prediction...
Consider the simple linear regression model: Suppose that the estimate of B1 based on a sample...
Consider the simple linear regression model: Suppose that the estimate of B1 based on a sample of 55 individuals is 2.3 and the corresponding standard error is 0.96. Test the null hypothesis H0: β1-0 vs HA: A 0 at the α-0.05 level and provide the corresponding p-value.
Independent random samples of size n1=38 and n2=86 observations, were selected from two populations. The samples...
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Consider the following regression results based on 20 observations. [You may find it useful to reference...
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Q. 20 In a simple linear regression, when testing H0: β1 = 0, against H1: β1...
Q. 20 In a simple linear regression, when testing H0: β1 = 0, against H1: β1 ≠0, failing to reject the null hypothesis means that: a. the slope of the regression line is not zero b. the relationship between x and y may be multiplicative c. there is no linear relationship between x and y d. there is a linear relationship between x and y e. None of the above
Suppose that you estimate a multiple regression model using OLS using a sample of 60 observations....
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4. In an estimated simple regression model, based on 102 observations, the estimated slope parameter (b2)...
4. In an estimated simple regression model, based on 102 observations, the estimated slope parameter (b2) is 1.1 and the estimated standard error is 0.291. Test the hypothesis that the slope is zero, against the alternative that it is not, at the 1% level of significance. Be sure to do all parts of the hypothesis test. (1 mark)T Test the hypothesis that the slope is zero, against the alternative that it is positive at the 1% level of significance. Be...
Suppose you conducted a simple linear regression t-test with a null hypothesis that the slope was...
Suppose you conducted a simple linear regression t-test with a null hypothesis that the slope was positive. You obtained a p-value of 0.023. If you were to conduct an F-test that tested for a linear relationship between the one predictor and response what p-value would you expect to obtain?
Conduct the following test at the α = 0.05 level of significance by determining (a) the...
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In a simple linear regression based on 25 observations, it is found that b1 = 0.51 and se(b1) = 0.28. Consider the hypotheses: [You may find it useful to reference the t table.] H0: β1 ≤ 0 and HA: β1 > 0. a-1. Calculate the value of the test statistic.
please help!
Following is a simple linear regression model: y = a + A + & The following results were obtained from some statistical software. R2 = 0.523 Syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Interecpt Slope of X Parameter Estimate 0.519 -0.707 Std. Err. of Parameter Est 0.132 0.239 Note: For all the calculated numbers, keep three decimals. Write the fitted model (5 points) 2. Make a prediction...
Consider the simple linear regression model: Suppose that the estimate of B1 based on a sample of 55 individuals is 2.3 and the corresponding standard error is 0.96. Test the null hypothesis H0: β1-0 vs HA: A 0 at the α-0.05 level and provide the corresponding p-value.
4. In an estimated simple regression model, based on 102 observations, the estimated slope parameter (b2) is 1.1 and the estimated standard error is 0.291. Test the hypothesis that the slope is zero, against the alternative that it is not, at the 1% level of significance. Be sure to do all parts of the hypothesis test. (1 mark)T Test the hypothesis that the slope is zero, against the alternative that it is positive at the 1% level of significance. Be...
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