In a simple linear regression based on 20 observations, it is found b1 = 3.05 and se(b1) = 1.30. Consider the hypothesis : H0 : β1 = 0 and HA : β1 ≠ 0 . Calculate the value of the test statistic.
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In a simple linear regression based on 20 observations, it is found b1 = 3.05 and se(b1) = 1.30. Consider the hypothesis : H0 : β1 = 0 and HA : β1 ≠ 0 . Calculate the value of the test statistic.
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- The regression analysis is normally depicted as "y = Ax+ B." What does "A" indicate in the equation? A) It is the expected change in the independent variable for a one-unit change in the dependent variable OB) It is the significance level for the test OC) It is the expected change in the dependent variable for a one-unit change in the independent variable OD) The confidence intervalThe following information pertains to data that have been gathered in the process of estimating a simple least-squares regression: mean value of the dependent variable 30 mean value of the independent variable 10 Coefficient of the independent variable 3 Number of observations 12 What is the "a" value for the least squares regression model?You must use Excel to perform the regression analysis. Provide the answers under the space provided for each question. You must provide the Excel output for the question along with the answers. Round off the values on the output to three-five decimal places if appropriate.Conduct a simple linear regression analysis for each independent variable associated with the external factors, using house price as the dependent variable. Make sure to use the indicator variables for the categorical data. (Significance level of α = 0.05). For each regression:22) Report the p-value of the independent variable and indicate whether it is a significant predictor of house price (based on the p-value being less than 0.05). (4p)23) Report the explained variability (R-squared value) for each variable, whether it is significant based on the p-value. (4p)24) Identify and list any variables that are not significant predictors of house price (i.e., those with p-values greater than 0.05). (2p)Conduct a multiple…
- Consider the generalised linear regression model: y = Xẞ + e, with E[e] = 0 and E[ee] = 022. Let the model be estimated using both OLS and GLS, and let the OLS estimator of ẞ be denoted as BOLS and its GLS estimator as BGLS. Which of the following statements are incorrect about the OLS and GLS estimators? (a) BOLS is BLUE (b) BGLS is BLUE (c) The variance of BOLS cannot be less than that of BGLS (d) BGLS is more efficient that BOLSConsider the following time series: a. Construct a time series plot. What type of pattern exists in the data? b. Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. c. What is the forecast for t = 6?Suppose that you are given a decision situation with three possible states of nature: s1, s2, and s3. The prior probabilities are P(s1) = 0.2, P(s2) = 0.5, and P(s3) = 0.3. With sample information I, P(I|s1) = 0.1, P(I|s2) = 0.05, and P(I|s3) = 0.2. Compute the revised (or posterior) probabilities: P(s1|I), P(s2|I), and P(s3|I).
- Read the z statistic from the normal distribution table and choose the correct answer. For a one-tailed test (lower tail) using a = .0901, z = O -1,96 O -1.86 O -1,34 O -1.645 O o o oConsider the following data for a dependent variable y and two independent variables, x1 and 12. 30 12 94 47 10 109 25 18 112 51 16 178 40 94 51 19 175 75 171 36 12 118 59 13 143 77 17 212 Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary. a. Develop an estimated regression equation relating Y to ¤1. Predict y if æ1 = 35. b. Develop an estimated regression equation relating y to x2. ŷ = + Predict y if x2 = 25. ŷ = c. Develop an estimated regression equation relating y to ¤1 and 2. Predict y if x1 = 35 and x2 = 25. ŷ =A simple regression model for 10 pair of data resulted in a standard error of 3.95 (i.e., Se = 3.95), and the. The sum of squares of error (SSE) is ______. Group of answer choices 187.23 171.63 156.03 140.42 124.82
- What is the test statistics and critical values. I got 4.20 for the test statistic, but it says its incorrect.The regression line in a scatterplot is also known as a(n): A. R-squared line. B. high-low line. C. outcome variable. D. linear trendline.Consider the following set of dependent and independent variables. Complete parts a through c below. y 9 11 D 15 15 21 24 28 32 X1 2 6 6 8 6 11 15 20 X2 16 10 14 11 3 8 7 4 a. Using technology, construct a regression model using both independent variables. y= (15.3952) + (1.0092) x₁ + (-0.5869)x2 (Round to four decimal places as needed.) b. Test the significance of each independent variable using α = 0.05. Test the significance of x₁. Identify the null and alternative hypotheses. Ho B₁ = H₁ B₁ 0 0 (Type integers or decimals.) Calculate the appropriate test statistic. The test statistic is 4.20 (Round to two decimal places as needed.) Determine the appropriate critical value(s) for α = 0.05. The critical value(s) is (are) ☐ (Round to two decimal places as needed. Use a comma to separate answers as needed.)
