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- SUMMARY OUTPUT Regression Statistics Multiple R 0.664798 R Square 0.441957 Adjusted R Square 0.376305 Standard Error 6.412199 Observations 20 ANOVA df SS MS F Significance F Regression 2 553.5729 276.7864 6.731793 0.007025498 Residual 17 698.9771 41.1163 Total 19 1252.55 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 26.6651 13.92768 1.91454 0.072535 -2.71974085 56.04995 X1 4.00929 1.1224 3.572068 0.002347 1.641232912 6.377348 X2 0.810165 0.477768 1.69573 0.108172 -0.19783686 1.818168 a. What can you say about the strength of this relationship for the model using the F test? Use α = .05. b. Is y significantly related to each independent variable? Use α = .05. c. Would your answer to b change if α = .001? If so, how? (3+4+3)Which is affected by alpha? Effect size The standard error Statistical power The test statisticANOVA table Source df sum of sqaures Mean squares F Regression 1 4.9 4.9 13.38 Error 3 1.1 0.366 Total 4 6 i. name the sampling distribution of the F-test statistic ii should we reject the null or fail to reject the null iii. justify using the rejection region and p-value, draw the sampling distribution and shade area corresponding to p-value iii
- Tests of Between-Subjects Effects df Mean Square F Dependent Variable Game Score Type II Sum Source: of Squares Sex 117.042 473 029 Handedness 605 6004 000 000 Sex Handedness 210.333 624 051 Error 3913 250 18 Total 232005.000 a. R Squared = 618 (Adjusted R Squared=512) Using the the value of "Mean Square", or variance, you calculated for the interaction between sex and handedness and error, calculate F- obt for the interaction. Use the rounded numbers from your calculations. Round your answer to 2 decimal places. Sig Partial Eta SquaredModel Summary Adjusted R Square Std. Error of Model R R Square the Estimate 1 .772 .596 .516 215.1509 a. Predictors: (Constant), Porosity ANOVA Sum of Model Squares df Mean Square F Sig. Regression 341943.282 1 341943.282 7.387 .042b Residual 231449.575 46289.915 Total 573392.857 a. Dependent Variable: Runoff b. Predictors: (Constant), Porosity Coefficients Standardized Unstandardized Coefficients Coefficients Model B Std. Error Beta t Sig. (Constant) 1863.761 237.546 7.846 .001 Porosity -80.729 29.703 -.772 -2.718 .042 a. Dependent Variable: Runoff A geomorphologist is building a model to understand variation in the amount of runoff observed in various streams within a large drainage basin. Linear regression is used to determine whether runoff is inversely related to the porosity of the soil. The variables here are thus runoff and porosity. The SPSS output from the analysis is shown above. One of the cases has a runoff value of 900 and a porosity value of 8. Calculate the value of the…Two-Sample Hypothesis Testing check if there is a significant difference between the 1st and 2nd measurement of weight at 10% level of significance using hypothesis testing in two variables. Construct the null and alternative hypothesis. Find for hypothesis, rejection region, test statistic, p-value, decision/conclusion, observations, pearson correlation, hypothesized mean difference, df, P(T<=t) two-tail, P(T<=t) one-tail, t Critical one-tail, t Critical two-tail. Name 1st Measurement 2nd Measurement Berino, Yoreidyl 56 kg 56 kg Cayabyab, Allyshia 41 kg 41 kg De Guzman, Carl Jersen 55 kg 55 kg Edic, Beatrice Faye 39 kg 39 kg Flores, Marc Wilson 84 kg 87 kg Gatlabayan, Angela 64 kg 64 kg Mendoza, Chelcee Franze 54 kg 54 kg Miranda, Mariella Nicole 53 kg 53 kg Nicolas, Kyla 51 kg 51 kg
- Correlation Coefficient Calculator settings sample random add to notes PROBABILITY & STATISTICS Correlation Coefficient Dataset set X 4,,6,6,8,2,7,12,14,9,5 comma separated input values Dataset set y 2,4,6,8,6,10,9,8,6,5 ncalculators.com3-7 Hypothesis Test Business Nonathlete vs. National Av Business Athlete vs. National Average Proportion Sample Size (n) =count(range) 0 Response of Interest (ROI) Cheated Proportion Sample Size (n) =count(range) Response of Interest (ROI) Cheated Count for Response (CFR) Sample Proportion (pbar) =CFR/n Count for Response (CFR) =COUNTIF (range, ROI)| Sample Proportion (pbar) =CFR/nUsing results from the regression model, discuss whether you would have confidence in this multiple regression model to predict expected salary based on GPA, age, and gender?
- SUMMARY OUTPUT Regression Statistics Multiple R 0.674982 R Square 0.455601 Adjusted R Square 0.442639 Standard Error 2.10391 Observations 44 ANOVA df SS MS F Significance F Regression 1 155.5859 155.5859 35.14924 5.03E-07 Residual 42 185.9104 4.426439 Total 43 341.4964 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 4.68476 0.353424 13.25536 1.33E-16 3.971522 5.397998 3.971522 5.397998 Apparel 0.77764 0.131166 5.928679 5.03E-07 0.512937 1.042343 0.512937 1.042343 Obtain the regression equation. (Negative values should be indicated by a minus sign. Round your answers to 4 decimal places.) Y=______X + ______ Calculate R2. (Round your answer to 4 decimal places.) Calculate the degrees of freedom and…Free experiment comparing more than two treatment conditions you should initially Run one ANOVA Rather than many separate p r y size comparisons because ANOVA Has less risk of type 1 error/ Alpha error because me several means are compared in one test a test paste on variance is more sensitive than a test based on means ANOVA has less risk of type 2 error/ beta error because several means are compared in one test you are less likely to make a mistake in the computation of a single testSubgroup of Participants Supine SBP Mean (SD) Standing SBP Mean (SD) Percent with > 5.0 Decrease Percent with > 5.0 Increase White women (N = 301) 120.4 (18.4) 120.0 (18.8) 32.6% 32.2% African-American women (N = 107) 122.7 (19.3) 122.8 (19.4) 30.2% 31.9% White men (N = 339) 121.2 (18.9) 120.2 (19.9) 39.5% 25.6% African-American men (N = 95) 124.7 (20.4) 125.9 (21.6) 13.7% 51.3% Total (N = 842) 121.5 (19.0) 121.1 (19.5) 29.8% 31.7% Would it be possible to analyze data in table 2 with a chi-square test? if yes, specify how