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.
In a simple linear regression based on 25 observations, it is found that b1 = 0.51...
In a simple linear regression based on 30 observations, it is found that b1 = 3.74 and se(b1) = 1.38. Consider the hypotheses: [You may find it useful to reference the t table.] H0: β1 = 0 and HA: β1 ≠ 0. a. Calculate the value of the test statistic. (Round your answer to 3 decimal places.)
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.
In a simple linear regression based on 59 observations, it is found that SSE- 2,795 and SST-27,278. a. Calculate se and se. (Round your answers to 2 decimal places.) Se b. Calculate the coefficient of determination R2. (Round your answer to 4 decimal places.) Coefficient of Determination
In a simple linear regression based on 22 observations, it is found that SSE = 2,852 and SST = 10,171. a. Calculate s2ese2 and se. (Round your answers to 2 decimal places.) Se2 se b. Calculate the coefficient of determination R2. (Round your answer to 4 decimal places.)
In a simple linear regression based on 22 observations, it is found that SSE= 2,658 and SST: 10,171. a. Calculate s and se-(Round your answers to 2 decimal places.) b. Calculate the coefficient of determination R2. (Round your answer to 4 decimal places.) Coefficient of Determination
Consider the following regression results based on 40 observations. [You may find it useful to reference the t table.] Standard Error 12.6824 0.9614 Coefficients t Stat 3.257 p-value 0.002 Intercept 1.3096 0.9535 #1 0.992 0.328 a. Specify the hypotheses to determine if the slope differs from minus one. b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic
A simple linear regression (linear regression with only one predictor) analysis was carried out using a sample of 23 observations From the sample data, the following information was obtained: SST = [(y - 3)² = 220.12, SSE= L = [(yi - ġ) = 83.18, Answer the following: EEEEEEEE Complete the Analysis of VAriance (ANOVA) table below. df SS MS F Source Regression (Model) Residual Error Total Regression standard error (root MSE) = 8 = The % of variation in the...
Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 7 18 9 26 23 a) Compute the mean square error (round to two decimals). b) Compute the estimated standard deviation of b1 (round to four decimals). c) Compute the p-value and F value (test statistic) of the F test to test the following hypotheses (round to two decimals): H0: β1=0 and Ha: β1≠0. F = (round to two decimals) p-value = (round...
In a simple linear regression based on 27 observations, the following information is provided: yˆy^ = −6.53 + 1.22x and se = 2.95. Also, se(yˆ0)se(y^0) evaluated at x = 27 is 1.14. [You may find it useful to reference the t table.] a. Construct the 95% confidence interval for E(y) if x = 27. (Round intermediate calculations to at least 4 decimal places, "tα/2,df" value to 3 decimal places, and final answers to 2 decimal places.) b. Construct the 95%...
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 33.1308 4.4008 7.528 0.000 x1 0.2906 0.1944 1.495 0.152 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...