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6. Consider the sample data below for fitting the regression model y = Bo + Bix+e...
are the assumptions behind any multiple regression model? (b). For a multiple regression model Y-Bo + βιΧ. + β2X2 +β3Xs + € where is the error term, to represent the relationship between Y and th...
are the assumptions behind any multiple regression model? (b). For a multiple regression model Y-Bo + βιΧ. + β2X2 +β3Xs + € where is the error term, to represent the relationship between Y and the four X- variables. We got the following results from the data: Source Sum of Squares degrees of freedom mean squares Regression 1009.92 Residual Total 2204.94 34 And also you are given: Variable X1 Σ.tx-xr 123.74 72.98 12.207 -Pr values -11.02 5.13 X2 X3 Y-intercept is...
Use the data given below to perform a regression through the origin and answer questions 1...
Use the data given below to perform a regression through the origin and answer questions 1 4 Source Regression Error Total Df 1 MS 59.756 3.561 59.76 14.24 1. 2. 3. Fit the model Y = β|X + ε. What is your predicted value of β? (Round your answer to three decimal places) What should be the value of A, the degrees of freedom for error, in the ANOVA table for the regression through the origin? What should be the...
Consider a multiple linear regression model Y; = Bo + B1Xi1 + B22:2 + 33213 +...
Consider a multiple linear regression model Y; = Bo + B1Xi1 + B22:2 + 33213 + Blog(x14) + Ej. We have the following statistics for the regression Call: 1m formula = y “ x1 + x2 + x3 + log(x4) Coefficients: Estimate Std. Error t value Pr(>1t|) (Intercept) 154.1928 194.9062 0.791 0.432938 x1 -4.2280 2.0301 -2.083 0.042873 * x2 -6.1353 2.1936 -2.797 0.007508 ** x3 0.4719 0.1285 3.672 0.000626 *** x4 26.7552 9.3374 2.865 0.006259 ** Signif. codes: O '***'...
Consider a multiple linear regression model Y; = Bo + B1Xi1 + B22:2 + 33213 +...
Consider a multiple linear regression model Y; = Bo + B1Xi1 + B22:2 + 33213 + Blog(x14) + Ej. We have the following statistics for the regression Call: 1m formula = y “ x1 + x2 + x3 + log(x4) Coefficients: Estimate Std. Error t value Pr(>1t|) (Intercept) 154.1928 194.9062 0.791 0.432938 x1 -4.2280 2.0301 -2.083 0.042873 * x2 -6.1353 2.1936 -2.797 0.007508 ** x3 0.4719 0.1285 3.672 0.000626 *** x4 26.7552 9.3374 2.865 0.006259 ** Signif. codes: O '***'...
linear regression solve number 1 only 1. (a) Consider the model Y =Bo+BX +BX2+BX3 + B4X4+€....
linear regression
solve number 1 only
1. (a) Consider the model Y =Bo+BX +BX2+BX3 + B4X4+€. If it is suggested to you that the two variables Z = X1+ X4 and Z2 X+ X might be adequate to represent the data, what hypothesis, in the form CB 0, would you need to test? (Give the form of C) (b) For the data ((Xi, X2, Y) : (-1, -1,5.2). (-1,0,6.1). (0,0.7.8), (1,0, 10.3), (1.1,10.9)). fit the model Y Bo + 3,X+2X2+....
Given are five observations for two variables, r and y. 3 4 5 1 2 7 6 11 14 4 The estimated regression equation is...
Given are five observations for two variables, r and y. 3 4 5 1 2 7 6 11 14 4 The estimated regression equation is y = 1.2 + 2.4r Compute the mean square error using the following equation (to 3 decimals). a. SSE s2=MSE n- 2 decimals). b. Compute the standard error of the estimate using the following equation (to SSE VMSE Vn-2 SE c. Compute the estimated standard deviation bi using the following equation (to 3 decimals). Sp...
An experiment was conducted in which different dosages of a particular pesticide were administered to 5...
An experiment was conducted in which different dosages of a
particular pesticide were administered to 5 groups of 5 mice. The
25 mice were females of similar age and condition. One group
received no chemical. The basic response y was a measure of
activity in the brain. It was postulated that brain activity would
decrease with an increase in pesticide dosage. Use the given data
to answer parts (a) and (b).
Animal 1 2 3 4 5 6 7 8...
4. Comparing the fit of the regression lines for two sets of data Aa Aa E...
4. Comparing the fit of the regression lines for two sets of data Aa Aa E Examine each of the following scatter diagrams and the corresponding regression lines. Identify which line better fits its data. Graph I Graph 11 Next, calculate a measure of how close the data points are to the regression line. Following are the six pairs of data values for Graph I, along with the regression equation: 5.6 6.6 9.6 y = -0.25 + 1.44x Assignment 14...
2.4 We have defined the simple linear regression model to be y =B1 + B2x+e. Suppose...
2.4 We have defined the simple linear regression model to be y =B1 + B2x+e. Suppose however that we knew, for a fact, that ßı = 0. (a) What does the linear regression model look like, algebraically, if ßı = 0? (b) What does the linear regression model look like, graphically, if ßı = 0? (c) If Bi=0 the least squares "sum of squares" function becomes S(R2) = Gyi - B2x;)?. Using the data, x 1 2 3 4 5...
Use the data below to answer questions 1 to 6. Use a multiple linear regression model with linear main effects onl...
Use the data below to answer questions 1 to 6. Use a multiple linear regression model with linear main effects only Show all calculations. No credit will be given for computer 7.2 9.8 12.3 12.9 Sum of Squares 31.19 3 5 6 8 9 Y U D F G J K L Calculate the fitted regression line. Write out the calculations using matrix format.
Use the data below to answer questions 1 to 6. Use a multiple linear regression model...
are the assumptions behind any multiple regression model? (b). For a multiple regression model Y-Bo + βιΧ. + β2X2 +β3Xs + € where is the error term, to represent the relationship between Y and the four X- variables. We got the following results from the data: Source Sum of Squares degrees of freedom mean squares Regression 1009.92 Residual Total 2204.94 34 And also you are given: Variable X1 Σ.tx-xr 123.74 72.98 12.207 -Pr values -11.02 5.13 X2 X3 Y-intercept is...
Use the data given below to perform a regression through the origin and answer questions 1 4 Source Regression Error Total Df 1 MS 59.756 3.561 59.76 14.24 1. 2. 3. Fit the model Y = β|X + ε. What is your predicted value of β? (Round your answer to three decimal places) What should be the value of A, the degrees of freedom for error, in the ANOVA table for the regression through the origin? What should be the...
Consider a multiple linear regression model Y; = Bo + B1Xi1 + B22:2 + 33213 + Blog(x14) + Ej. We have the following statistics for the regression Call: 1m formula = y “ x1 + x2 + x3 + log(x4) Coefficients: Estimate Std. Error t value Pr(>1t|) (Intercept) 154.1928 194.9062 0.791 0.432938 x1 -4.2280 2.0301 -2.083 0.042873 * x2 -6.1353 2.1936 -2.797 0.007508 ** x3 0.4719 0.1285 3.672 0.000626 *** x4 26.7552 9.3374 2.865 0.006259 ** Signif. codes: O '***'...
Consider a multiple linear regression model Y; = Bo + B1Xi1 + B22:2 + 33213 + Blog(x14) + Ej. We have the following statistics for the regression Call: 1m formula = y “ x1 + x2 + x3 + log(x4) Coefficients: Estimate Std. Error t value Pr(>1t|) (Intercept) 154.1928 194.9062 0.791 0.432938 x1 -4.2280 2.0301 -2.083 0.042873 * x2 -6.1353 2.1936 -2.797 0.007508 ** x3 0.4719 0.1285 3.672 0.000626 *** x4 26.7552 9.3374 2.865 0.006259 ** Signif. codes: O '***'...
linear regression
solve number 1 only
1. (a) Consider the model Y =Bo+BX +BX2+BX3 + B4X4+€. If it is suggested to you that the two variables Z = X1+ X4 and Z2 X+ X might be adequate to represent the data, what hypothesis, in the form CB 0, would you need to test? (Give the form of C) (b) For the data ((Xi, X2, Y) : (-1, -1,5.2). (-1,0,6.1). (0,0.7.8), (1,0, 10.3), (1.1,10.9)). fit the model Y Bo + 3,X+2X2+....
Given are five observations for two variables, r and y. 3 4 5 1 2 7 6 11 14 4 The estimated regression equation is y = 1.2 + 2.4r Compute the mean square error using the following equation (to 3 decimals). a. SSE s2=MSE n- 2 decimals). b. Compute the standard error of the estimate using the following equation (to SSE VMSE Vn-2 SE c. Compute the estimated standard deviation bi using the following equation (to 3 decimals). Sp...
An experiment was conducted in which different dosages of a
particular pesticide were administered to 5 groups of 5 mice. The
25 mice were females of similar age and condition. One group
received no chemical. The basic response y was a measure of
activity in the brain. It was postulated that brain activity would
decrease with an increase in pesticide dosage. Use the given data
to answer parts (a) and (b).
Animal 1 2 3 4 5 6 7 8...
4. Comparing the fit of the regression lines for two sets of data Aa Aa E Examine each of the following scatter diagrams and the corresponding regression lines. Identify which line better fits its data. Graph I Graph 11 Next, calculate a measure of how close the data points are to the regression line. Following are the six pairs of data values for Graph I, along with the regression equation: 5.6 6.6 9.6 y = -0.25 + 1.44x Assignment 14...
2.4 We have defined the simple linear regression model to be y =B1 + B2x+e. Suppose however that we knew, for a fact, that ßı = 0. (a) What does the linear regression model look like, algebraically, if ßı = 0? (b) What does the linear regression model look like, graphically, if ßı = 0? (c) If Bi=0 the least squares "sum of squares" function becomes S(R2) = Gyi - B2x;)?. Using the data, x 1 2 3 4 5...
Use the data below to answer questions 1 to 6. Use a multiple linear regression model with linear main effects only Show all calculations. No credit will be given for computer 7.2 9.8 12.3 12.9 Sum of Squares 31.19 3 5 6 8 9 Y U D F G J K L Calculate the fitted regression line. Write out the calculations using matrix format.
Use the data below to answer questions 1 to 6. Use a multiple linear regression model...
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