c. What is the number 0.286 called?- Regression coefficient- Coefficient of determination- Homoscedasticity- Multicollinearityd. As age increases by one year, how much does estimated performance on the new machine increase? **(Round your answer to 3 decimal places.)**The estimated performance increases by [___] .e. Carl Knox applied for a job at Photo Works. He has been in the business for 6 years and scored 280 on the mechanical aptitude test. Carl’s prior on-the-job performance rating is 97, and he is 35 years old. Estimate Carl’s performance on the new machine. **(Round your answer to 3 decimal places.)**Estimated performance [___] **Title: Analyzing Performance on New Processing Machines****Introduction:**Thompson Photo Works purchased new, sophisticated processing machines. The production department needed guidance on the qualifications needed by an operator. Key factors such as age and length of service might be relevant. To explore the factors affecting performance on new machines, four variables were considered:- $ x_1 $: Length of time an employee was in the industry- $ x_2 $: Mechanical aptitude test score- $ x_3 $: Prior on-the-job rating- $ x_4 $: AgePerformance on the new machine is designated $ y $.**Data Collection:**Thirty employees were selected randomly, and their performance data was recorded. A sample of this data is shown below:| Name | Performance on New Machine, $ y $ | Length of Time in Industry, $ x_1 $ | Mechanical Aptitude Score, $ x_2 $ | Prior On-the-Job Performance, $ x_3 $ | Age, $ x_4 $ ||---------------|-------------------------------------|--------------------------------------|--------------------------------------|-----------------------------------------|-----------------|| Mike Miraglia | 112 | 12 | 312 | 121 | 52 || Sue Trythall | 113 | 2 | 380 | 123 | 27 |**Equation Analysis:**The following equation was used to estimate performance:\[\hat{y} = 11.6 + 0.4x_1 + 0.286x_2 + 0.112x_3 + 0.002x_4\]**Questions:****a. What is this equation called?**- [ ] Multiple regression equation- [ ] Multiple standard error of estimate- [ ] Coefficient of determination**b. How many dependent and independent variables are there?**- **Dependent:** 1- **Independent:** 4**Discussion:**This equation represents a multiple regression, where performance on the new machine ($ \hat{y} $) is predicted based on four independent variables. Understanding the impact of each variable is crucial for optimizing operator selection and training.

Qa) Multiple regression y = β0+β1x1+---+βnxn

c. What is the number 0.286 called? O Regression coefficient O Coefficient of determination O Homoscedasticity O Multicollinearity d. As age increases by one year, how much does estimated performance on the new machine increase? (Round your answer to 3 decimal places.) The estimated performane increases by e. Carl Knox applied for a job at Photo Works. He has been in the business for 6 years and scored 280 on the mechanical aptitude test. Carl's prior on-the-job performance rating is 97, and he is 35 years old. Estimate Carl's performance on the new machine. (Round your answer to 3 decimal places.) Estimated performane

c. What is the number 0.286 called? O Regression coefficient O Coefficient of determination O Homoscedasticity O Multicollinearity d. As age increases by one year, how much does estimated performance on the new machine increase? (Round your answer to 3 decimal places.) The estimated performane increases by e. Carl Knox applied for a job at Photo Works. He has been in the business for 6 years and scored 280 on the mechanical aptitude test. Carl's prior on-the-job performance rating is 97, and he is 35 years old. Estimate Carl's performance on the new machine. (Round your answer to 3 decimal places.) Estimated performane

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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ABC University uses data from a random sample of students in a regression analysis to see i he number of hours a student spends playing video games weekly (x) is a predictor of the student's GPA (y) at the end of the term. An intern for ABC goes ahead and performs the regression using Excel. Examine the following Excel regression printout. Describe what the value -0.0292...in the cell next to "X Variable 1" label means. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square 0.709640286 0.503589336 0.45394827 Standard Error 0.552383099 Observations 12 ANOVA df SS MS Regression 3.095395785 3.09539579 28 72.28745 Residual 10 3.051270881 0.3051270937 Total 11 6.146666667 Coefficients Standard Error t Stat P-value Interce pt X Variable 1 3.46198431 0.296274535 11.6850552 11 1.94E-10 -0.029275496 0.009191503 -3.1850607 37 6.88E-06 Regression should not be used on the data set. The correlation coefficient is -0.0292 when rounded to 3 places. The regression line has a…
DIRECTIONS: Round all answers to the nearest thousandth. Two new drugs are being compared for effectiveness in lowering total cholesterol levels. On the sample of 15 subjects, drug A is found to lower total cholesterol by an average of 75 mg/dl with SS = 2025. On the sample of 10 subjects, drug B lowered the mean cholesterol level by 78 mg/dl with SS = 2005. Use a 0.01 level of significance to test the claim that the two drugs are equally effective assuming populations are normally distributed. ( Use equal variance t procedure called pooled variance t procedure)
The OLS estimator is derived by A. making sure that the standard error of the regression equals the standard error of the coefficient estimator. B. minimizing the sum of squared regression. C. minimizing the sum of squared error. D. connecting the Y; corresponding to the lowest X; observation with the Y; corresponding to the highest X; observation. Decat Celoction O O
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Suppose a new location opens in an area with a population of 144,000, an average income of$36,000, an average age of 27, and $2,000 spent on advertising in the previous month.a. Use your chosen regression to predict Gross Sales for the month at the new location. (I picked population)b. Suppose actual Gross Sales for the month were $420,624. Does this make sense,given your model and predicted value?12. Using your chosen regression model,a. Identify the slope and explain what it means, in the context of the model.b. Identify the initial value or y-intercept and explain what it means, in the context ofthe model.
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Run a regression analysis on the following data set, where y is the final grade in a math class and x is the average number of hours the student spent working on math each week. hours/week Grade y 8. 72.2 8. 58.2 10 60 11 71.4 14 92.6 14 76.6 14 75.6 14 83.6 15 81 20 100 State the regression equation with constants accurate to 2 decimal places. ý = What is the predicted value for the final grade when a student spends an average of 15 hours each week on math? Round to 2 decimal places. Question Help: D Video 1 Video 2 Submit Question
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2. Participants were kept awake for a certain number of hours before given a visuospatial task. Researchers measured how many correct responses each participant had. Results are shown below. Use alpha = .01. Number of Correct Hours Kept Awake (X) Responses (Y) 21 X = 10 SS, = 422 Y = 10 SS, = 690 2 4 19 %3D 6. 13 SPxy =-525 ху 5 20 S, =5.70 S, = 7.29 9. 11 10 9. 14 5 15 5 17 2 18 1 17 1 13 4 18 8 11 A. Graph the data. B. State the hypotheses. C. Make a decision about the null. a. Calculate Pearson's r i. Decision about null hypothesis? b. Calculate effect size i. Interpret effect size. D. State your conclusion. E. Relate your conclusion to the research. F. Calculate the regression formula. G. If someone was kept awake for 9 hours, what is the predicted number of correct responses?
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