Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regressionTestScore= 499.5840+ (-5.5872) x CS, R=0.07, SER=11.0(19.5840) (2.0995)Construct a 95% confidence interval for B₁, the regression slope coefficient.The 95% confidence interval for B₁, the regression slope coefficient, is (). (Round your responses to two decimal places.)(Round your response to four decimal places.)The f-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 isNote: Assume a normal distribution.The p-value for the two-sided test of the null hypothesis Ho: B₁ = 0 is. (Round your response to four decimal places.)Do you reject the null hypothesis at the 1% level?A. Yes, because the p-value is less than 0.01.OB. Yes, because the f-statistic is less than 2.58.OC. No, because the p-value is greater than 0.01.OD. Yes, because the f-statistic is greater than 2.58.The p-value for the two-sided test of the null hypothesis Ho: P₁-6.1 is (Round your response to four decimal places.)Construct a 95% confidence interval for B₁, the regression slope coefficient.The 95% confidence interval for B₁, the regression slope coefficient, is (.). (Round your responses to two decimal places.)The f-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 is (Round your response to four decimal places.) Note: Assume a normal distribution.The p-value for the two-sided test of the null hypothesis Ho: B₁=0 is. (Round your response to four decimal places.)Do you reject the null hypothesis at the 1% level?A. Yes, because the p-value is less than 0.01.B. Yes, because the f-statistic is less than 2.58.OC. No, because the p-value is greater than 0.01.OD. Yes, because the f-statistic is greater than 2.58.(Round your response to four decimal placeThe p-value for the two-sided test of the null hypothesis Ho: B₁ = -6.1 isWithout doing any additional calculations, determine whether - 6.1 is contained in the 95% confidence interval for ₁.A. No, -6.1 is not contained in the 95% confidence interval for B₁..OB. Yes, -6.1 is contained in the 95% confidence interval for ₁.The 99% confidence interval for Bo is (.). (Round your responses to one decimal place.)Show transcribed data

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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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A multiple regression analysis produced the following tables. Predictor Coefficients StandardErrort Statistic p-valueIntercept -139.609 2548.989 -0.05477 0.957154x 24.24619 22.25267 1.089586 0.295682x 32.10171 17.44559 1.840105 0.08869Source df SS MS F p-valueRegression 2 302689 151344.5 1.705942 0.219838Residual 13 1153309 88716.07Total 15 1455998Using = 0.01 to test the null hypothesis H :?1 = ?2 = 0, the critical F value is ____.6.701.964.845.995.70
The table below lists measured amounts of redshift and the distances (billions of light-years) to randomly selected astronomical objects. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 90% confidence level with a redshift of 0.0126. Redshift Distance 0.0238 0.31 a. Find the explained variation. 0.0543 0.74 (Round to six decimal places as needed.) b. Find the unexplained variation. (Round to six decimal places as needed.) c. Find the indicated prediction interval. 0.0722 1.02 billion light-years
To investigate the relationship between the selling price of a house, yy, in dollars, and the size of the house xx, in square feet, a local builder collected data on a random sample of 120 houses from a certain region. Assume that the conditions for inference for the slope of a regression line are met. The resulting 95 percent confidence interval for the population slope of the regression line relating price and size is given by (62,99). The local builder claims that the selling price of houses from the region increases by $104 for every extra square foot of space in the house. Which of the following best describes the conclusion that can be reached about this claim based on the confidence interval? A)The claim is supported by the interval, since the interval does not contain the value 0. B)The claim is supported by the interval, since all values in the interval are positive. C)The claim is supported by the interval, since the interval does not contain the…
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Let's study the relationship between brand, camera resolution, and internal storage capacity on the price of smartphones. Use α = .05 to perform a regression analysis of the Smartphones01CS dataset, and then answer the following questions. When you copy and paste output from MegaStat to answer a question, remember to choose to "Keep Formatting" to paste the text. a. Did you find any evidence of multicollinearity and variance inflation among the predictors. Explain your answer using a VIF analysis. b. Copy and paste the normal probability plot for your analysis. Is there any evidence that the errors are not normally distributed? Explain. c. Copy and paste the Residuals vs. Predicted Y-values. Does the pattern support the null hypothesis of constant variance for the errors? Explain. d. Study the residuals analysis. Which observations, if any, have unusual residuals? e. Study the residuals analysis. Calculate the leverage statistic. Which observations, if any, are high leverage…
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5.
The ANOVA summary table to the right is for a multiple regression model with six independent variables. Complete parts (a) through (e). a. Determine the regression mean square (MSR) and the mean square error (MSE). (Round to four decimal places as needed.) (Round to four decimal places as needed.) MSR= MSE = b. Compute the overall FSTAT test statistic. FSTAT (Round to two decimal places as needed.) C Source Regression Error Total Degrees of Sum of Freedom Squares 240 190 430 6 26 32
i)Test individually whether the slope coefficients are significant at 10% significance level. ii)Test the overall significance of the estimated regression at 1% significance level.
The value obtained for the test statistic, z, in a one-mean z-test is given. Also given is whether the test is two tailed, left tailed, or right tailed. Also is given the P-value.A left-tailed test: z = -1.17 P-value: 0.1210 Use technology to create a scatter plot of the data from the previous question. Include the regression line. (Hand drawn graphs will not be accepted.) The explanatory (input) variable and the response (output) variable must be clearly labeled, within the context of this problem.

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