In a regression analysis, if SSE = 600 and SSR = 200, find the coefficient of determination. Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 0.250 0.500 0.600 0.750
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- et R2unrestricted and R2restricted be 0.54 and 0.30 respectively. The difference between the unrestricted and the restricted model is that you have imposed two restrictions. The number of regressors in the unrestricted model is 5. There are 500 observations. The F-statistic (under the assumption of homoskedasticity) in this case is 1. 4.61 2. 8.01 3. 98.5 4. 128.9A regression of average weekly earnings (AWE, measured in dollars) on age(measured in years) using a random sample of college-educated full-timeworkers aged 25–65 yields the following: AWE = 696.7 + 9.6 X Age, R2 = 0.023, SER = 624.1.a. Explain what the coefficient values 696.7 and 9.6 mean.b. The standard error of the regression (SER) is 624.1. What are the unitsof measurement for the SER? (Dollars? Years? Or is SER unit-free?)c. The regression R2 is 0.023. What are the units of measurement for theR2? (Dollars? Years? Or is R2 unit-free?)d. What does the regression predict will be the earnings for a 25-year-oldworker? For a 45-year-old worker?e. Will the regression give reliable predictions for a 99-year-old worker?Why or why not?f. Given what you know about the distribution of earnings, do youthink it is plausible that the distribution of errors in the regressionis normal? (Hint: Do you think that the distribution is symmetric orskewed? What is the smallest value of earnings,…Y=16.8-3.9x (3.8) (1.2) The numbers 16.8 and -3.9 are the realized values for the intercept and slope (respectively) of the regression equation describing the sample, which are consistent estimators for what population parameters? The intercept and slope (respectively) of the sample determining function. The intercept and slope (respectively) of the regression equation that best fits the population. Instructions: Enter your responses rounded to three decimal places. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers: provide a 99% confidence interval for each estimator's corresponding population parameter Intercept (----------) (----------) Slope (---------) (-------------)
- Suppose you examined blood of 36 patients with the aim to study the relation between sugar level in blood (in mg/dL) and the amount of artificial sweetener (measured in grams). Your regression shows: blood=7.1 + 0.4*sweatener - 0.2*female. What is the most precide interpretation of the estimated coefficient for sweetener?Identify the independent variable (IV) and dependent variable (DV) used in the study, and the levels ofmeasurement of the IV and DV.(look at the attached image) a. Explain whether the specification uses a pre-post or a simple difference method? Discuss the counterfactual in the specification above. b. Using the specification above, discuss whether you would be able to estimate an unbiased estimate on the effect of BSM on students' test scores
- ………. (1) For this model, ESS = 1,740 and TSS = 2,000 Instructions: 1 The value of RSS is …………. 2 The degrees of freedom associated with RSS are …………. 3 The degrees of freedom associated with ESS are ………… 4 The degrees of freedom associated with TSS are ………… 5 The F-test statistic for testing the significance of the above model is ………… 6 The coefficient of determination () for this model is …………the regression R2 is 0.98.This meanA government study found that people who eat chocolate frequently weighless than people who don’t. Researchers questioned 1000 individuals fromCalifornia between the ages of 20 and 85 about their eating habits, andmeasured their weight and height. On average, participants ate chocolatetwice a week and had a body mass index (BMI) of 28. There was anobserved difference of five to seven pounds in weight between those whoate chocolate five times a week and those who did not eat any chocolate atall, with the chocolate eaters weighing less on average. Frequent chocolateeaters also consumed more calories, on average, than people who consumedless chocolate. Based on this summary, would you recommend thatAmerican’s who do not presently eat chocolate, consider eating chocolateup to five times a week if they want to lose weight? Why or why not?Explain.
- 1. R-squaredSuppose regression of y on an intercept and x with 50 observations yields total sum of squares 100 andexplained sum of squares 36.(a) What is ?^2?(b) What is the correlation coefficient between y and x?(c) What is the standard error of the residual?The following data gives the experience of the machine operators and their performance ratings as given by the number of good parts turned out per 100 pieces.Experience(X) 16 12 18 4 3 10 5 12Performance Ratings (Y) 88 87 89 68 78 80 75 83Obtain the regression line of performance ratings on experience and estimate the probable performance if the operator has 7 years of experience.Define the Ordinary Least Squares Estimator? how OLS Estimates the Relationship Between Test Scores and the Student–Teacher Ratio?