3. What is the estimate of the slope coefficient, B1?O 1.5O -13.85O 0.745O -1.5 Suppose the simple linear regression model, Y; = Bo + B1 a; + Ej, is used to explain the relationship between x and y.A random sample of n10 values for the explanatory variable (x) was selected and the corresponding values of theresponse variable (y) were observed. The summary statistics were:Σ.8, Συ- 10 , Σα,y 9.5,Σ-7.4, Σ-20

Simple linear regression model is given by yi=β0 + β1 xi+εi The simple linear regression model is…

Answered: Suppose the simple linear regression…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 37E

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Using 25 observations on each variable, a computer program generated the following multiple regression model: yhat=69.2+2.87x1+5.81x21.83x3 If the standard errors of the coefficients of the independent variables are, respectively, 1.34, 4.84, and 0.70, can you conclude that the independent variable x1 is needed in the regression model? Let β1, β2, and β3 denote the coefficients of the 3 variables in this model, and use a two-sided hypothesis test and significance level of 0.05 to determine your answer. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least two decimal places.) The two critical values at the 0.05 level of significance:(Round to at least two decimal places.) and Can you…
In an experiment, the independent variable is the percentage of hydrocarbons and the dependent variable is the purity of oxygen produced in a chemical distillation process that are present in the main condenser of the distillation unit. The simple linear regression and correlation analysis is performed in a sample of 9 observations. Results are as shown below: SSxx : 113.7356 SSyy = 0.5156 уу a = -4.2869 b = 0.0648 %3D
You have estimated a multiple regression model with 6 explanatory variables and an intercept from a sample with 46 observations. What is the critical value of the test statistic (tc) if you want to perform a test for the significance of a single right-hand side (explanatory) variable at α = 0.05? a.) 2.023 b.) 2.708 c.) 2.423 d.) 2.704
(Prob. 11-27, p. 445) Consider the following computer output. The regression equation is Y= 12.9+2.34 x Predictor Coef SE Coef т Constant 12.857 1.032 ? X 2.3445 0.1150 S=1.48111 R-sq = 98.1% R-sq(adj) = 97.9% Analysis of Variance Source ss MS F P DF Regression 912.43 912.43 ? ? Residual error 8 17.55 ? Total 929.98 a. Fill in the missing information. You may use bounds for the P-values. b. Can you conclude that the model defines a useful linear relationship? c. What is your estimate of o?
Using 23 observations on each variable, a computer program generated the following multiple regression model. y = 65.5 +9.56x1+3.27x2-4.23x3– 9.23x4 If the standard errors of the coefficients of the independent variables are, respectively, 3.44, 2.30, 2.76, and 4.99, can you conclude that the independent variable x, is needed in the regression model? Let B1, B2, Ba denote the coefficients of the 4 variables in this model, and use a two-sided hypothesis test and significance level of 0.10 to determine your 4 .../ answer. (a) State the null hypothesis H, and the alternative hypothesis H,. H, : 0 H, : 0 (b) Determine the type of test statistic to use. Degrees of freedom: D=0 OSO (c) Find the value of the test statistic. (Round to two or more decimal places.) O#0 OO (d) Find the two critical values at the 0.10 level of significance. (Round to two or more decimal places.) | and || (e) Can you conclude that the independent variable is needed in the regression model? Yes No 미
41
Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 7 18 8 26 21 (a) Develop a scatter diagram for these data. A scatter diagram has 5 points plotted on it. The horizontal axis ranges from 0 to 25 and is labeled: x. The vertical axis ranges from 0 to 30 and is labeled: y. The points are plotted from left to right in an upward, diagonal direction starting in the lower left corner of the diagram. The points are between 4 to 23 on the vertical axis and are fairly spread out. A scatter diagram has 5 points plotted on it. The horizontal axis ranges from 0 to 25 and is labeled: x. The vertical axis ranges from 0 to 30 and is labeled: y. The points are plotted from left to right in a downward, diagonal direction starting in the upper left corner of the diagram. The points are between 7 to 26 on the vertical axis and are fairly spread out. A scatter diagram has 5 points plotted on it. The horizontal axis ranges from 0 to 25…
Given are five observations for two variables, and y. The estimated regression equation for these data is ŷ - a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = Σ (y: - 9;) SST = (yi - y)² SSR = (ŷi - y)² SSE SST SSR b. Compute the coefficient of determination ² (to 3 decimals). Does this least squares line provide a good fit? 1.3 +2.3x. Yes, the least squares line provides a very good fit c. Compute the sample correlation coefficient (to 4 decimals). Hide Feedback Partially Correct 8 Xi 1 Yi 4 2 3 7 6 4 10 5 14 Hint(s) Check My Work
Suppose we perform a simple linear regression (SLR) of two variables F1 and F2 against the same out variable (say y). The r-squared value/score of both the SLRS are 0.9678 and 0.95123 respectively for F1 and F2. Then what can you say about the correlation? O a. y is more dependent on F2 than F1 O b. None of these O . The result does not say that y is more dependent on F1 OR F2 O d.y is more dependent on F1 than F2
Suppose two variables are under study are temperature in degrees Fahrenheit (y) and temperature in degrees centigrade (x). The regression line for this situation is y = 9/5X +32. Assuming there is no error in observing temperature, What is the expected correlation coefficient in this given scenario. Answer:
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 =
Determine the regression line equation from the given data. A study is conducted to compare the length of time between Group A and Group B to assemble a certain product. Experience indicates that the distribution of times for both Group A and Group B is approximately normal, and the population variances are equal. The data given are as follow: The data given are as follow,For Group A: ?? = 11, ??̅ = 21.4, ?? = 6.0, andFor Group B: ?? = 14, ?̅? = 18.5, ?? = 4.3 Test the claims that Group A use more time compare to Group B. Use a 1% level of significance. (do refer to the uploaded image just in case the symbol or letters are missing when it's typed here)

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