Given are five observations for two variables, and y.The estimated regression equation is ŷ = 0.2 +2.6xa. Compute the mean square error using the following equation (to 3 decimals).X₂Yid. Use the t test to test the following hypotheses (α = 0.05 ):Ho B₁0Ha B₁ 0Compute the value of the t test statistic (to 2 decimals).13b. Compute the standard error of the estimate using the following equation (to 3 decimals).c. Compute the estimated standard deviation by using the following equation (to 3 decimals).2735411514

The estimated regression equation is .

Answered: Given are five observations for two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use the of to calculate the 80% of a who studied The and test for 6 in Phelp 2. Use the margin of error to calculate the 80% prediction interval of a student's score who just 2 hours. 7th grade math class. Test Score y Hours Studied r 65 5. 71 9. 78 7. 82 8. 86 6. 94 1. Regression Equation: ŷ = 5.543x + 37.762 The standard error of estimate Se = 1.13 %3D355 (7) pue g = (x) The estimated score will be between A. 48.848 and 51.796 with a margin of error of 2.838 B. 46.010 and 51.686 with a margin of error of 2.838 C. 40.357 and 46.253 with a margin of error of 2.948 D. 45.900 and 48.848 with a margin of error of 2.768 E. 45.900 and 51.796 with a margin of error of 2.948
The following estimated regression equation is based on 10 observations was presented. ŷ 29.1270 +0.59061 +0.498022 Here SST 6,885.875, SSR = 6,231.500, sb = = 0.0728, and 8 = 0.0540. a. Compute MSR and MSE (to 3 decimals). MSR: MSE: b. Compute F and perform the appropriate F test (to 2 decimals). Use a = 0.05. Use the F table. F = The p-value is - Select your answer - At a = 0.05, the overall model is Select your answer - V c. Perform a t test for the significance of B₁ (to 2 decimals). Use a = 0.05. Use the t table. to = The p-value is -Select your answer - At a= 0.05, there is - Select your answer-relationship between y and ₁. d. Perform a t test for the significance of B₂ (to 2 decimals). Use a = 0.05. Use the t table. to₂ = The p-value is - Select your answer - At a = 0.05, there is Select your answer-relationship between y and #₂.
e. 025 < P-value <.05 QUESTION 13 A hospital analyzed, for several randomly selected employees, the relationship between the employee's annual number of unauthorized work absences (in days) and the distance the employee must travel between home and work (in 10s of miles). The regression analysis showed n 15, SSo=24.56, SSyy = 69.60, and SSxy = -38.20. What is the best estimate of the true error variance? O a. 0.7834 O b. None of the answers is correct O. 0.8851 Od.0.6790 Oe. 1,0185 QUESTION 14 lick Save and Submit to save and submit. Click Save All Answers to save all answers. Save Al MacBook Pro 000 DII DD
The following estimated regression equation based on 10 observations was presented. ŷ = 28.1270 + 0.6906x, + 0.3980x2 (a) Develop a point estimate of the mean value of y when x, = 170 and x2 = 350. (b) Develop a point estimate for an individual value of y when X1 = 170 and X2 = 350.
Consider the following computer output from a multiple regression analysis relating the price of a used car to the variables: age of car, mileage, and safety rating. Intercept Age (Year) Mileage (in Thousands) Safety Rating Does the sign of the coefficient for the variable age make sense? Answer Coefficients 23287.65 7671.28 -551.27 Coefficients 894.16 Standard Error 3327.39 8976.75 45.10 96.36 t Stat 6.999 0.855 - 12.223 9.280 P-value 0.0000 0.3965 0.0000 0.0000 O No, because it is expected that as age increases then the price should decrease. O Yes, because it is expected that as age increases then the price should also increase. O No, because it is expected that as age increases then the price should also increase. O Yes, because it is expected that as age increases then the price should decrease. Tables Key Keyboard Shor
A regression between foot length (response variable in cm) and height (explanatory variable in inches) for 42 students resulted in the following regression equation: y = 10.4 + 0.21x If a student happened to be extraordinarily tall (say, 10ft, just for the fun of it) and had a foot size of 25 cm, how might this affect the slope of the regression line?
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
Use the given data to find the best predicted value. If the prediction is unreliable, state so. 5) Eight pairs of data yield r = 0.742 and the regression equation y = 55.8 + 2.79x. Also, y = 71.125. What is the best predicted value of y for x = 8? Round to one decimal place.
Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 90 mm Hg. Use a significance level of 0.05. Right Arm 103 102 96 76 76 Left Arm 174 167 149 148 148
The arm span and foot length were both measured (in centimeters) for each of 20 students in a biology class. The computer output displays the regression analysis. Predictor Coef SE Coef t-ratio Constant Arm span -7.611 2.567 2.965 0.046 0.186 0.035 5.377 0.000 S = 1.61 R-Sq = 63.0% R-Sq (Adj) = 64.9% Which of the following is the best interpretation of the standard deviation of the residuals? The typical arm span is 161 centimeters. The typical foot length is 16.1 centimeters. The typical distance between the observed and predicted arm spans is 1.61 centimeters. The typical distance between the observed and predicted foot lengths is 1.61 centimeters. Op
Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 90 mm Hg. Use a significance level of 0.05. Right Arm 101 100 92 75 75 O Left Arm 174 167 181 149 147 Click the icon to view the critical values of the Pearson correlation coefficient r The regression equation is y = + x. (Round to one decimal place as needed.) Given that the systolic blood pressure in the right arm is 90 mm Hg, the best predicted systolic blood pressure in the left arm is mm Hg. (Round to one decimal place as needed.)
An automobile rental company wants to predict the yearly maintenance expense (Y) for an automobile using the number of miles driven during the year () and the age of the car (, in years) at the beginning of the year. The company has gathered the data on 10 automobiles and run a regression analysis with the results shown below:. Summary measures Multiple R 0.9689 R-Square 0.9387 Adj R-Square 0.9212 StErr of Estimate 72.218 Regression coefficients Coefficient Std Err t-value p-value Constant 33.796 48.181 0.7014 0.5057 Miles Driven 0.0549 0.0191 2.8666 0.0241 Age of car 21.467 20.573 1.0434 0.3314 Use the information above to estimate the annual maintenance expense for a 10 years old car with 60,000 miles.

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