Assume a multiple linear regression y = Bo +B1a1 + B2x2 + e. Which statement(s) is(are) true about the variance inflation factors (VIFS) of the coefficient estimates b1 and b2 ? I. The VIF of b, is the same as the VIF of b2. II. VIF will likely be large if X2 is highly positively correlated with X1 II. VIF will likely be large if X2 is highly negatively correlated with X1 IV. VIF will likely be close to 1 if X1 and X2 are independent O I and IV OL.II, III and IV Il and III IV only Olonly

According to the nutrition research, recommendation on the consumption of fiber for children and teenagers is the following ( y is the amount of fiber per day (in grams), x is the age): y 21 24 26 28 29 33 | 38 43 44 2 4 6 8 10 12| 14 16 | 18 X 0.1. Can you conclude that the model specifies a (a) Test for the significance of regression using the analysis of variance with a = useful linear relationship between these two variables? We conclude that the model specifies a useful linear relationship at a = 0.1. (b) Estimate o?. Round your answer to three decimal places (e.g. 98.765). 2 %D (c) Estimate the standard error of the slope and intercept in this model. Round your answers to three decimal places (e.g. 98.765). se( B1) i se( B o) = i

The least-squares regression line relating two statistical variables is given as  = 24 + 5x. Compute the residual if the actual (observed) value for y is 38 when x is 2.     4           38     2

4. The following regression is fitted using variables identified that could be related to tuition charges ($) of a university. TUITION = a+ B ACCEPT + y MSAT + 1 VSAT Where ACCEPT = the percentage of applicants that was accepted by the university, MSAT = Median Math SAT score for the freshman class and VSAT = Median English SAT score for the freshman class. The data was processed using MNITAB and the following is an extract of the output obtained: Predictor Coef StDev T P Constant -26780 6115 -4.38 0.000 ACCEPT 116.00 37.17 * 0.003 MSAT -4.21 14.12 VSAT 70.85 15.77 -0.30 4.49 0.767 ** S = 2685 R-Sq = 69.6% Analysis of Variance R-Sq (adj) = 67.7% Source DF SS MS F P Regression 3 808139371 Residual Error 49 353193051 269379790 7208021 37.37 0.000 Total 52 1161332421 a) Write out the regression equation. b) State the dependent and independent variable(s) c) Fill in the blanks identified by ** and ****. d) Is B significant, at the 10% level of significance? e) State one limitation of using…

uppose IQ scores were obtained from randomly selected couplescouples. For 2020 such pairs of​ people, the linear correlation coefficient is 0.8900.890 and the equation of the regression line is ModifyingAbove y with caret equals negative 0.74 plus 1.02 xy=−0.74+1.02x​, where x represents the IQ score of the husbandhusband. ​Also, the 2020 x values have a mean of 101.17101.17 and the 2020 y values have a mean of 102.7102.7. What is the best predicted IQ of the wifewife​, given that the husbandhusband has an IQ of 9999​? Use a significance level of 0.05. The best predicted IQ of the wifewife is nothing. ​(Round to two decimal places as​ needed.

The following sample contains the scores of 6 students selected at random in Mathematics and English.  Use the scores in English as the dependent variable Y. Mathematics score (X) 70 92 80 74 65 83 English score (Y) 74 84 63 87 78 90 ∑x=464, ∑y=476,∑x^2=36354,∑y^2=38254, ∑xy=36926. Estimate the regression parameters and also write the prediction equation.

The fish in my pond have mean length 10 inches and mean weight 4 pounds. The correlation coefficient of length and weight is .9. If the length of a particular randomly selected fish is reported to be 10 inches, then what should we predict for the weight of that fish using simple linear regression? 4 10 2.5 NOT ENOUGH INFORMATION GIVEN NONE OF THE OTHERS

Suppose that you have estimated coefficients for the regression model Y = B₁ + B₁X₁ + ß2X2 + ß3X3. Test the hypothesis that all three of the predictor variables are equal to 0, given the analysis of variance shown on the right. Use α = 0.05. Click here to view page 1 of a table of critical values of F. Click here to view page 2 of a table of critical values of F. Choose the correct null and alternartive hypotheses below. A. Ho: B₁ B₂ =B3 = 0 H₁: at least one ß; #0 C. Ho: B₁ B₂ = 3 = 0 H₁: B₁0, B₂0, B3 > 0 Find the critical value. The critical value is (Round to two decimal places as needed.) Source Regression Residual Error DF SS 3 9,654 23 2,400 B. Hō: at least one ß; ‡0 H₁: B₁ =B₂ =B3 = 0 D. H₁: B₁ = P₂ = ³3 = 0 H₁: B₁ B₂ B3 0 MS

School administrators wondered whether class size and grade achievement (in percent) were related. A random sample of classes revealed the following data. Number 10 8. 20 18 6. of Students 15 Average Grades 85 90 82 80 84 92 (%) 1. Calculate the linear correlation coefficient (Rc all answers to TWO decimal places) 2. Calculate the coefficient of determination (Rou all answers to TWO decimal places) 3.The linear regression equation is ASUS VivOBook

A researcher developed a regression model to predict the tear rating of a bag of coffee based on the plate gap in bag-sealing equipment. Data were collected on 28 bags in which the plate gap was varied. An analysis of variance from the regression showed that b, = 0.7909 and Sp. = 0.2294. a. At the 0.05 level of significance, is there evidence of a linear relationship between the plate gap of the bag-sealing machine and the tear rating of a bag of coffee? b. Construct a 95% confidence interval estimate of the population slope, B1. .....