abNockescThe summary statistics for a certain set of points are:n=25, s₂=3.43, Σ (x-x)² =121.93, and b₁ =2.91.Assume the conditions of the linear model hold. A 98% confidence interval for B₁ will be constructed.Part 1 of 4How many degrees of freedom are there for the critical value?The degrees of freedom for the critical value are 23.Part: 1/4Part 2 of 4What is the critical value? Round the answer to three decimal places.The critical value isSkip PartF11option-ZCheck82F2WS#3XHcommand20F3E$4CDOODODF4RFolo LO%5F5VTG esc13.11Question 3 of 15 (1 point) Question Attempt: 1 of UnlimitedFor the 50 U.S. states, the sample correlation coefficient relating the 1980 per capita income and the 1999 per capita income is approximately 0.32 (source:U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000). Based on this information, test for a significant linear relationship between thevariables 1980 per capita income and 1999 per capita income by doing a hypothesis test regarding the population correlation coefficient p. (Assume that the twovariables have a bivariate normal distribution.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below.(If necessary, consult a list of formulas.)(a) State the null hypothesis Ho and the alternative hypothesis H₁.H₁ : p=0H₁ : p = 0(b) Determine the type of test statistic to use.(c) Find the value of the test statistic. (Round to three or more decimal places.)2.340Z(d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.)and(e) Based on the data, can we conclude (using the 0.05 level) that there is a significant linearrelationship between 1980 per capita income and 1999 per capita income for U.S. states?OYes O NoCheckZ2F2WSXHoption command#320F3EC$4DOO000F4RF%5V.-F5TG0X020 0#0 0<0(9KР0=0 0≤0Ś© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | AccessiF9H?Save For LaterLHOLF10PcommandSubmit AssignmÔF11Det{+ 11?option

As per the guidelines I answered the first question

Answered: The summary statistics for a certain…

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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Consider a regression with two variables, in which X1i is the variable of interest and X2i is the control variable. The zero conditional mean assumption requires Group of answer choices E(ui|X1i) = E(ui|X2i) E(ui|X1i, X2i) = E(ui|X1i) E(ui|X1i, X2i) = 0 E(ui) = E(ui|X2i)
Q. 5 A random sample of nine custom homes provided the following data on size and price. X denotes size in hundreds of square feet and y denotes price in thousands of dollars. Predict the price of a 2600-sq ft house using the regression equation. 26 27 33 29 29 34 30 40 22 Y 540 555 575 577 606 661 738 804 496 b,= Exy -((En)()/) I x2 - CEx)Z Formula : Σ in Consturct Table for al pars Using totas ¥ numbers ofrom the table firch: 676 26 540 9 - b, t bix To find predictad price for 26v0 sq.6t. house, substitule 26 in ý equation. Tatals Answer =
In the following case find the best predicted value of y given the following: x = 2.00, r = -0.123 (p-value = 0.62), y (bar)= 8.00, n = 30 and the equation of the regression line is: y (hat) = 7.00 - 2.00x
In the following case find the best predicted value of y given the following: x = 3.00, r = 0.052 (p-value = 0.85), y (bar)= 5.00, n = 20 and the equation of the regression line is: y (hat) = 6.00 + 4.00x
Which of the following is/are the assumptions of linear models:. The response variable is normally distributed The residuals are normally distributed All the observed units are independent from each other. The relationship between the response variable and the predictors are linear All of the above None of the above.
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x=3.8333, sx=2.4014, y=3.6500, sy=1.7942, and r=−0.9539, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a).
NW 6.12 CORPORATE SUSTAINABILITY OF CPA FIRMS. Corporate sustainability refers to business practices designed CORSUS around social and environmental considerations. Refer to the Business and Society (March 2011) study on the sustainability behaviors of CPA corporations, Exercise 2.23 (p. 59). Recall that the level of support for corporate sustainability (measured on a quantitative scale ranging from 0 to 160 points) was obtained for each in a sample of 992 senior managers at CPA firms. Higher point values indicate a higher level of support for sustainability. The accompanying StatCrunch printout gives a 99% confidence interval for the mean level of support for all senior managers at CPA firms. One sample T confidence interval: μ: Mean of variable 99% confidence interval results: Variable Sample Mean Std. Err. DF L. Limit U. Limit Support 67.75504 0.85314633 991 65.553241 69.95684 a. Locate the 99% confidence interval on the printout. b. Use the sample mean and standard deviation on the…
For a given set of x and y data values, assume that the regression model assumptions are valid and that a 90% confidence interval for ₁ is given by (-2.2, -0.1). Which of the following statements are true? i) At a = 0.10, there is a significant linear relationship between x and y. ii) In the scatterplot of x and y, the values of y tend to decrease as the values of x increase. iii) Based on this confidence interval, we would reject the null hypothesis of no linear relationship at any significance level a ≤ 0.1. Select one: a. i) O b. i) and ii) O c. ii) d. i), ii), and iii)

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