Homework Answers
Question 3
ans: No since the p value of 0.0745 is greater than 0.05.
That is, which indicate x doesnot share statistically significant linear relationship with variable y at 5% significant level.
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Question 3 (3 points) The table below shows the regression results when calculating the least squares...
The ANOVA summary table to the right is for a multiple regression model with five independent variables. Complete parts (a) through (e). Source Degrees of Freedom Sum of Squares Regression 5 270 Err...
The ANOVA summary table to the right is for a multiple regression model with five independent variables. Complete parts (a) through (e). Source Degrees of Freedom Sum of Squares Regression 5 270 Error 28 110 Total 33 380 a. Determine the regression mean square (MSR) and the mean square error (MSE). b. Compute the overall FSTAT test statistic. FSTAT=_______________________ (Round to four decimal places as needed.) c. Determine whether there is a significant relationship between Y and the two independent...
please help! Following is a simple linear regression model: y = a + A + &...
please help!
Following is a simple linear regression model: y = a + A + & The following results were obtained from some statistical software. R2 = 0.523 Syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Interecpt Slope of X Parameter Estimate 0.519 -0.707 Std. Err. of Parameter Est 0.132 0.239 Note: For all the calculated numbers, keep three decimals. Write the fitted model (5 points) 2. Make a prediction...
The ANOVA summary table to the right is for a multiple regression model with five independent...
The ANOVA summary table to the right is for a multiple regression model with five independent variables. Complete parts (a) through (e). Source Degrees of Freedom Sum of Squares Regression 5 270 Error 28 110 Total 33 380 a. Determine the regression mean square (MSR) and the mean square error (MSE). b. Compute the overall FSTAT test statistic. FSTAT=_______________________ (Round to four decimal places as needed.) c. Determine whether there is a significant relationship between Y and the two independent...
Question 4 (3 points) Set up and solve the following simple linear optimization model: MAX: 14.9...
Question 4 (3 points) Set up and solve the following simple linear optimization model: MAX: 14.9 x + 23.8 y subject to: 2x + 2y = 20 3x 2 17 5x + 1y s 78 x.y 20 What is the value of the objective function at the optimal solution? Round your answer to one decimal place. Your Answer: Answer Question 5 (8 points) -
Question 3 (5 points) Question 1(C): You have performed a simple linear regression model to understand...
Question 3 (5 points) Question 1(C): You have performed a simple linear regression model to understand the effect of Number of Bedrooms on House Price House Price is in Thousand S and Number of Bedrooms is in number of bedrooms Coefficient t-statistic p-value Intercept 28.77 6.52 <0.000 Number of Bedrooms 13.27 9.18 <0.000 Which of the below statement is true. Select one option from below: O p-value<0.001 implies that we cannot reject the null hypothesis. O p-value<0.001 implies that the...
Consider the following ANOVA table for a multiple regression model. Complete parts a through e be...
*ANSWERS IN BOX ARE INCORRECT*
Consider the following ANOVA table for a multiple regression model. Complete parts a through e below. Source Regression 3 3,600 1200 20 Residual 35 2,100 60 Total df SSMSF 38 5,700 a. What is the size of this sample? n41 b. How many independent variables are in this model? c. Calculate the multiple coefficient of determination. R0.5882 Round to four decimal places as needed.) d. Test the significance of the overall regression model using α=0.05...
The accompanying regression table shows a regression of MSRP (manufacturer's suggested retail price) on both Displacement...
The accompanying regression table shows a regression of MSRP (manufacturer's suggested retail price) on both Displacement and Bore for off-road motorcycles. Both of the predictors are measures of the size of the engine. The displacement is the total volume of air and fuel mixture that an engine can draw in during one cycle. The bore is the diameter of the cylinders. Determine the test statistic. T = ____________ Determine the P-value. P- Value = ____________ Assume α = 0.05. What...
3) (Total: 12 points) The results of the regression model is shown below. Using the p-value...
3) (Total: 12 points) The results of the regression model is shown below. Using the p-value in the table, determine whether there is significant relationship between durability and the two independent variables at the 0.05 level of significance. Variable Intercept FOREIMP (x) MIDSOLD (x2) Coefficients Standard Error t-Stat -0.03501 0.05905 -0.39 0.84774 0.06295 (1) 0.58993 0.07174 8.43 p-Value 0.7034 < 0.0000 < 0.0000 (1) (2 points) Calculate the t-Stat of the FOREIMP (x2). (2) (2 points) Write hypothesese to test...
5. (2 points) When a least-squares linear regression equation is constructed based upon a data set,...
5. (2 points) When a least-squares linear regression equation is constructed based upon a data set, and a line is constructed from this equation, which (Gif any) of the following is a. The point (F,) must be on the regression line. b. The point (0,b) must be on the regression line. c. The point (0,b) must be on the regression line. d. None of the above statements are false. All of the above statements are true. ons for ss is...
Correlation/Linear Regression (20-25) The scatterplot below shows the drop height (in feet) and speed (in mph)...
Correlation/Linear Regression (20-25) The scatterplot below shows the drop height (in feet) and speed (in mph) of 75 rollercoasters. Answer the following questions using this data. Speed 80 70 60 50 40 50 100 150 200 250 300 Drop 20. Describe the scatterplot above. Be sure to use the three key descriptors 21. Which of the following is the most likely value of the correlation coefficient (r) for this data? (Circle one) A)r0.523 B)r 0.187 D)r 0.9097 D)r0.875 22. Which...
please help!
Following is a simple linear regression model: y = a + A + & The following results were obtained from some statistical software. R2 = 0.523 Syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Interecpt Slope of X Parameter Estimate 0.519 -0.707 Std. Err. of Parameter Est 0.132 0.239 Note: For all the calculated numbers, keep three decimals. Write the fitted model (5 points) 2. Make a prediction...
Question 4 (3 points) Set up and solve the following simple linear optimization model: MAX: 14.9 x + 23.8 y subject to: 2x + 2y = 20 3x 2 17 5x + 1y s 78 x.y 20 What is the value of the objective function at the optimal solution? Round your answer to one decimal place. Your Answer: Answer Question 5 (8 points) -
Question 3 (5 points) Question 1(C): You have performed a simple linear regression model to understand the effect of Number of Bedrooms on House Price House Price is in Thousand S and Number of Bedrooms is in number of bedrooms Coefficient t-statistic p-value Intercept 28.77 6.52 <0.000 Number of Bedrooms 13.27 9.18 <0.000 Which of the below statement is true. Select one option from below: O p-value<0.001 implies that we cannot reject the null hypothesis. O p-value<0.001 implies that the...
*ANSWERS IN BOX ARE INCORRECT*
Consider the following ANOVA table for a multiple regression model. Complete parts a through e below. Source Regression 3 3,600 1200 20 Residual 35 2,100 60 Total df SSMSF 38 5,700 a. What is the size of this sample? n41 b. How many independent variables are in this model? c. Calculate the multiple coefficient of determination. R0.5882 Round to four decimal places as needed.) d. Test the significance of the overall regression model using α=0.05...
3) (Total: 12 points) The results of the regression model is shown below. Using the p-value in the table, determine whether there is significant relationship between durability and the two independent variables at the 0.05 level of significance. Variable Intercept FOREIMP (x) MIDSOLD (x2) Coefficients Standard Error t-Stat -0.03501 0.05905 -0.39 0.84774 0.06295 (1) 0.58993 0.07174 8.43 p-Value 0.7034 < 0.0000 < 0.0000 (1) (2 points) Calculate the t-Stat of the FOREIMP (x2). (2) (2 points) Write hypothesese to test...
5. (2 points) When a least-squares linear regression equation is constructed based upon a data set, and a line is constructed from this equation, which (Gif any) of the following is a. The point (F,) must be on the regression line. b. The point (0,b) must be on the regression line. c. The point (0,b) must be on the regression line. d. None of the above statements are false. All of the above statements are true. ons for ss is...
Correlation/Linear Regression (20-25) The scatterplot below shows the drop height (in feet) and speed (in mph) of 75 rollercoasters. Answer the following questions using this data. Speed 80 70 60 50 40 50 100 150 200 250 300 Drop 20. Describe the scatterplot above. Be sure to use the three key descriptors 21. Which of the following is the most likely value of the correlation coefficient (r) for this data? (Circle one) A)r0.523 B)r 0.187 D)r 0.9097 D)r0.875 22. Which...
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