In a regression study, a multiple regression model with two explanatory variables is developed using a data set with 23 observations.In the ANOVA table for this model, the sum of squares total (SSyy) is = 12500 and the sum of squares regression (SSR) = 9500. The Fvalue for the test of the overall significance of this model is__.O1.32413.0431.6722

From the provided information,Number of explanatory variables (k) = 2Observations (n) = 23

Answered: In a regression study, a multiple…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 4GP

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Fifty students take two midterm exams. On the first exam, the mean score is 65.0 and the standard deviation is 7.00. On the second exam, the mean score is 55.0 with a standard deviation of 10.00. The correlation coefficient of the two score is 0.70. Obtain the least squares regression line using the second exam score to predict the first exam score.
A simple linear regression was performed on 25 observations. The least squares calculations are given as: SSgy = 204, SSxx= 100, SSyy = 516. Calculate the coefficient of correlation. O 0.898 O 0.334 O 0.765 O 0.516
Use the information from a simple linear regression given in the table below to calculate a 95% confidence interval for B1. SSXY = 285.2 SSXX = 23 S = 7 n = 15 Beta0 hat = 36 Betal hat = 12.4 O (25.78, 46.22) O (11.50, 13.29) O (- 9.67, 34.47) O (9.25, 15.55)
What is the least squares regression line for the following scatter plot? y-hat = 0.89x + 1.36 y-hat = 0.31x + 1.95 y-hat = 0.67x + 0.87 y-hat = 1.05x + 1.37
A simple linear regression model was created based on 25 samples. The 95% confidence interval for the estimate of B1 is (1.5, 4.6). Find the F-statistic for the model. Report your answer in 3 decimal places
A guidance counselor wants to determine if there is a relationship between a student's number of absences, x, and their grade point average (GPA), y. The data that were collected are displayed in the scatterplot and the least-squares regression line was calculated. One student with 2 absences has a GPA of 1.8. This point is circled on the graph. What effect does the circled point have on the standard deviation of the residuals? This point will increase the value of the standard deviation of the residuals because it has a large positive residual. OThis point will increase the value of the standard deviation of the residuals because it has a large GPA and Absences negative residual. 4.8 This point will not affect the value of the standard deviation of the residuals because it has a large 44 4.0 positive residual. 3.6 This point will decrease the value of the standard deviation of the residuals because it has a large 3.2 2.8 negative residual. 19 2.4 2.0 GPA
What kind of plot is useful for deciding whether it is reasonable to find a regression plane for a set of data points involving several predictor variables?
Suppose a psychologist used number of hours of sleep in the night before a quiz to predict the quiz score using simple linear regression. The mean number of hours of sleep is 6.28 and the SD is 2. The standardized coefficient (beta in SPSS) is 0.38. If the number of hours of sleep increases from 6.28 to 8.28, what is the increase in predicted quiz score in standard deviation?
A regression model to predict Y, the state burglary rate per 100,000 people, used the following four state predictors: X₁ = median age, X₂ = number of bankruptcies per 1,000 population, X3 = federal expenditures per capita (a leading predictor), and X4 = high school graduation percentage. Click here for the Excel Data File (a) Using the sample size of 50 people, calculate the tcalc and p-value in the table given below. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 4 decimal places.) Predictor Intercept AgeMed Bankrupt FedSpend HSGrad% Coefficient t-value = 4,198.5808 -27.3540 17.4893 -0.0124 -29.0314 SE 799.3395 12.5687 12.4033 0.0176 7.1268 tcalc p-value (b-1) What is the critical value of Student's t in Appendix D for a two-tailed test at a = .01? (Round your answer to 3 decimal places.)
Run two multiple regression analyses, one regressing prejudice toward pro-life activists on both RWA and SDO, and another regressing prejudice toward anti-affirmative action activists on both RWA and SDO. What do you conclude about the effects of RWA and SDO on prejudice toward these groups?
The statsmodels ols() method is used on an exam scores dataset to fit a multiple regression model using Exam4 as the response variable. Exam1, Exam2, and Exam3 are used as predictor variables. The general form of this model is: If the level of significance, alpha, is 0.10, based on the output shown, is Exam1 statistically significant in the multiple regression model shown above? Select one. A text version of this output is available. OLS Regressin Results Dep. Variable: Model: Method: R-squar ed: Adj. R-squared: F-statistic: Prob (F-statistic): Log-Likelihood: AIC: 0.178 0.125 3.329 0.0276 -169.85 347.7 355.4 Exam4 OLS Date: Time: No. Observations: Least Squares Sun, 18 Aug 2019 10:59:12 Df Residuals: of Nodel: Covarianco Тура: 50 46 3 nonr obust BIC: Coef std err P>|t| [0.025 0.975) t Intercept Examl Exam2 Exam3 46.2612 0.1742 0.1462 0.0575 10.969 0.120 0.078 0.053 4.217 1.453 1.873 1.085 0.000 0.153 0.067 0.284 24.181 -0.067 -0.011 -0.049 68.341 0.416 0.303 0.164 Onnibus: 0.886 0.642…

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