is computed as s, = 0.2373361. 11 15 5 17 22 17 11 6 y 18 9 22 12 13 13 12 13 Send data to Excel
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- Use the following information from a multiple regression analysis to complete below n=35 b1=25 b2=25 Sb1=10 Sb2=8 Construct a 95% confidence interval estimate of the population slope, β1.______≤β1≤________ (Round to four decimal places as needed.)Use the following information from a multiple regression analysis. n=15 b1=2 b2=6 Sb1=1.4 Sb2=0.5 a. Which variable has the largest slope, in units of a t statistic? b. Construct a 90% confidence interval estimate of the population slope, β1. c. At the 0.10 level of significance, determine whether each independent variable makes a significant contribution to the regression model. On the basis of these results, indicate the independent variables to include in this model.According to the following confidence intervals based on a regression analysis, which coefficients differ from zero in a two-tailed test at α = .05? 2.5 % 97.5 % (Intercept) -36.198470 228.22667 LotSize 9.244509 20.86968 Baths 43.981264 113.47117 Intercept, LotSize, Baths LotSize, Baths LotSize Baths
- Use the following linear regression equation to answer the questions. x1 = 2.0 + 3.6x2 – 7.8x3 + 2.1x4 a) Suppose that n = 8 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.356. Construct a 95% confidence interval for the coefficient of x2. (Use 2 decimal places.) lower limit _____ upper limit _____ b) Using the information of part (e) and level of significance 1%, test the claim that the coefficient of x2 is different from zero. (Use 2 decimal places.) t = ____ critical t = _____Use the following linear regression equation to answer the questions. x3 = −17.3 + 4.1x1 + 9.6x4 − 1.6x7 a) Suppose that n = 10 data points were used to construct the given regression equation and that the standard error for the coefficient of x4 is 0.882. Construct a 90% confidence interval for the coefficient of x4. (Round your answers to two decimal places.) lower limit = ______ upper limit = ______ b) Using the information of part (e) and level of significance 1%, test the claim that the coefficient of x4 is different from zero. (Round your answers to three decimal places.) t= ____ t critical= ______Suppose we are making predictions of the dependent variable y for specific values of the independent variable x using a simple linear regression model holding the confidence level constant. Let Width (C.I) = the width of the confidence interval for the average value y for a given value of x, and Width (P.I) = the width of the prediction interval for a single value y for a given value of x. Which of the following statements is true? Width (C.I) = 0.5 Width (P.I) Width (C.I) = Width (P.I) Width (C.I) > Width (P.I) Width (C.I) < Width (P.I)
- Use the following linear regression equation to answer the questions. x1 = 1.9 + 4.0x2 – 7.5x3 + 2.4x4 (e) Suppose that n = 11 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.461. Construct a 99% confidence interval for the coefficient of x2. (Use 2 decimal places.) lower limit upper limit (f) Using the information of part (e) and level of significance 10%, test the claim that the coefficient of x2 is different from zero. (Use 2 decimal places.) t t critical ± Suppose x3 and x4 were held at fixed but arbitrary values and x2 increased by 1 unit. What would be the corresponding change in x1?Suppose x2 increased by 2 units. What would be the expected change in x1?Suppose x2 decreased by 4 units. What would be the expected change in x1?Assume that you have a sample of n1=8, with the sample mean x1=44, and a sample standard deviation of s1=5, and you have an independent sample of n2=14 from another population with a sample mean of x2=35, and the sample standard deviation s2=6. Construct a 95% confidence interval estimate of the population mean difference between m1 and m2. Assume the the two population variances are equal.30 The following figure computed from SQFT data is given: ∑(? − ?̅)² = 128237398.86 Find standard error of the slope coefficient, se(?₁) = ______. The margin of error to build a 95% confidence interval for the slope coefficient that relates the price response to each additional square foot is _______. a 0.005 b 0.009 c 0.016 d 0.028
- Consider a cylindrical engine part manufacturer that has designed a new machine to reduce the variance of the outside diameters of their product. A random sample of ? = 25 outside diameters produced by this machine has a mean of ?(x bar)= 3 and a variance of ?x2 = 0.00014. Assume that the population of all cylindrical engine part outside diameters that would be produced by the new machine is normally distributed, and let ?x 2, denote the variance of this population. Find a 95% confidence interval for ?2xIn my regression output using Hayes Model 1 I have the following results. Would it be safe to say that the following assumption is correct? 95% CI is [.036, .196] not statistically significant, But given that (p = .176) is greater than p=.005, we reject the null hypothesis. (b3) of .080, t = 1.36, p = .176, 95% CI [.036, .196].Given two dependent random samples with the following results: Population 1 44 31 18 32 20 17 32 Population 2 41 46 2828 25 28 29 26 Use this data to find the 90% confidence interval for the true difference between the population means. Assume that both populations are normally distributed. Step 1 of 4 : Find the point estimate for the population mean of the paired differences. Let x1 be the value from Population 1 and x2 be the value from Population 2 and use the formula d=x2−x1 to calculate the paired differences. Round your answer to one decimal place. Please Highlight the Answer The answer is only one number (ex 10.2 instead of 10.2, 2.3)