a. What value of R2 is required so that a regression with five independent variables is significant if there are 30 observations? (hine use the 0.05 critical value for F (5, 24) b. answer part a if there are 500 observations. C. what do these results tell us about hte R2 statistic?

a. What value of R2 is required so that a regression with five independent variables is significant if there are 30 observations? (hine use the 0.05 critical value for F (5, 24) b. answer part a if there are 500 observations. C. what do these results tell us about hte R2 statistic?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

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
You may need to use the appropriate technology to answer this question. Following is a portion of the computer output for a regression analysis relating y = maintenance expense (dollars per month) to x = usage (hours per week) of a particular brand of computer terminal. Analysis of Variance SOURCE DF Adj SS Adj MS Regression 1 1575.76 1575.76 Error 8 349.14 43.64 Total 9 1924.90 Predictor Coef SE Coef Constant 6.1092 0.9361 X 0.8951 0.1490 Regression Equation Y = 6.1092 + 0.8951 X #1) Write the estimated regression equation. ŷ = #2) Find the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to three decimal places.) #3)Use the estimated regression equation to predict monthly maintenance expense (in dollars per month) for any terminal that is used 15 hoursper week. (Round your answer to the nearest cent.) $ _____per month
Given are five observations for two variables, and y. Excel File: data14-25.xlsx The estimated regression equation is ŷ = 7.6 +0.9x. a. What is the value of the standard error of the estimate (to 4 decimals)? 0.9726 b. Test for a significant relationship by using the t test. Use a = 0.05. What is the value of the t test statistic (to 2 decimals)? 1.90 What is the p-value? Use Table 2 of Appendix B. between 0.10 and 0.20 What is your conclusion (a = 0.05)? Xj Yi Cannot conclude a significant relationship exists between x and y c. Use the F test to test for a significant relationship. Use a = 0.05. Compute the value of the F test statistic (to 2 decimals). 3.63 What is the p-value? Use Table 4 of Appendix B. greater than 0.10 What is your conclusion? Cannot conclude a significant relationship exists between x and y 2 7 6 18 9 13 9 20 26 23
Please help me on Part E
The following is the simple regression results based on the data from Madrigal Corporation: Dependent variable – Machine maintenance costs Independent variable – Machine hours Computed values Intercept P 3,500 Coefficient on independent variable P 3.50 Coefficient of correlation 0.856 R2 0.733 What percentage of the variation in maintenance costs is explained by the independent variable? (use two decimal places, e.g. 82.20%, 55.31% or 0.82, 0.55, these will be counted as correct answers)
Q. 5 Your doc Dr. Zion measures the relationship between two variables X (exam anxiety) and Y (performance) and obtained the following interval scores: Participant Y 1 10 2. 3. 6. 11 4. 6. 6. 3 9. 10 1 a. Determine the regression equation. b. How are the size of r and the size of the standard error of the estimate related? 7654574564
The linear correlation between an independent (x) and dependent (y) variable A. Is the foundation for simple (bivariate) regression B. Does not indicate a causal relationship, though one might exist C. Can be direct, inverse, or nonexistent D. Can be used to predict the value of y for any observed value of x E. All of the above F. None of the above
You may need to use the appropriate technology to answer this question. Following is a portion of the computer output for a regression analysis relating y = maintenance expense (dollars per month) to x = usage (hours per week) of a particular brand of computer termina Analysis of Variance SOURCE Regression Error Total Predictor Constant X DF Adj SS 1 1575.76 8 349.14 9 1924.90 Regression Equation Y = 6.1092 +0.8951 X O Ho: B₁ * 0 H₂: B₁ = 0 Coef SE Coef 0.9361 0.1490 (a) Write the estimated regression equation. ý =| 6.1092+ 0.8951r O Ho: B₁ 20 H₂: B₁ <0 |0 Ho: Boo Hà Bo=0 |0 Ho: Bo=0 = 0 Ha: Bo #0 6.1092 0.8951 Ho: B₁ = 0 H₂: B₁ * 0 (b) Use a t test to determine whether monthly maintenance expense (dollars per month) is related to usage (hours per week) at the 0.05 level of significance. State the null and alternative hypotheses. Adj MS 1575.76 43.64 Find the value of the test statistic. (Round your answer to two decimal places.) 36.11 X
5. For the following set of data: Y 1 10 5 4 4 13 a. Find the regression equation for predicting Y from X. b. Does the regression equation account for a significant portion of the variance in the Y scores? Use a = .05 to evaluate the F-ratio %3D X27 33
Take a look at the scatterplot below with the corresponding best fit regression line. My grumpiness (0-100) 8 2 9 T 5 6 True False 7 My sleep (hours) A reasonable estimate of the "R" value for the scatterplot is approximately R = 0.03. Time (min.) 0 2 4 6 Distance (ft.) 0 6 12 18 Do you think it would be appropriate to use interpolation to find the distance at 7 or 9 minutes? Yes, they fall within the data points we have. Yes, they fall outside of the data points we have. No, they fall within the data points we have. No, they fall outside of the data points we have.
Given are five observations for two variables, and y. Excel File: data14-25.xlsx The estimated regression equation is ŷ = 7.6 +0.9x. a. What is the value of the standard error of the estimate (to 4 decimals)? 0.9726 b. Test for a significant relationship by using the t test. Use a = 0.05. What is the value of the t test statistic (to 2 decimals)? 1.90 What is the p-value? Use Table 2 of Appendix B. between 0.10 and 0.20 What is your conclusion (a = 0.05)? Xj Yi Cannot conclude a significant relationship exists between x and y c. Use the F test to test for a significant relationship. Use a = 0.05. Compute the value of the F test statistic (to 2 decimals). 3.63 What is the p-value? Use Table 4 of Appendix B. greater than 0.10 What is your conclusion? Cannot conclude a significant relationship exists between x and y 2 7 6 18 9 13 9 20 26 23
Which of the following is TRUE about W? ANOVA Regression W Total df SS 1 8 9 2335 MS 140.1 F p-value 0.0186 The smaller the value of SS for W, the smaller the coefficient of determination. It is calculated based on the distance between the observed data point and the predicted value.