Documents about Standardized Coefficients Beta

LEC3#6

UF, AEB 6553
Excerpt: ... Lecture 3.6 (3.6) Standardized Coefficients: Beta Coefficients $ Yt = 0 + $ $ j X jt +e t j= 1 k (3.6a) (3.6b) y* t $ = * + 0 $ $ *j x*jt +e t j= 1 k y* = t x* = t Yt - Y $ Y Xt - X $ X $ $ y t = j x jt + e t j= 1 k yt $ x jt + e $t = ...

PS3_Solutions

George Mason, PUBP 704
Excerpt: ... er 10,000 people q3. Run a simple regression analysis (Note: Analyze => Regression => Linear) for the problem. Interpret R2 in the Model Summary table. Also interpret Unstandardized B (coefficients) and p-values in the Coefficients table. Include the Model Summary and the Coefficients tables in your answer. Model Summary Model 1 R R Square .742a .550 Adjusted R Square .547 Std. Error of the Estimate 28.9204 a. Predictors: (Constant), Doctors per 10,000 people Coefficientsa Unstandardized Coefficients B Std. Error 88.121 3.628 -2.869 .238 Standardized Coefficients Beta -.742 Model 1 (Constant) Doctors per 10,000 people t 24.286 -12.070 Sig. .000 .000 a. Dependent Variable: Infant mortality rate 1992 (per 1000 live births) R2 is 0.550, indicating about 55% of the variation in infant mortality rate is explained by the variation in the doctors availability. The p-value for the variable is significance. Thus we can state that the infant mortality rate would go down by about 2.9 when the number of doct ...

Lab lecture 2

Portland, QUANT 621
Excerpt: ... 0 df 1 98 99 Mean Square 41625.493 2327.434 F 17.885 Sig. .000a Regression Residual Total a. Predictors: (Constant), gluts b. Dependent Variable: injury Coefficientsa Unstandardized Coefficients B Std. Error 255.994 26.499 -3.545 .838 Standardized Coefficients Beta -.393 Model 1 (Constant) gluts t 9.660 -4.229 Sig. .000 .000 a. Dependent Variable: injury Let's write out this regression equation for practice: = 255.99 3.56(gluts) 5 Residuals Statisticsa Predicted Value Residual Std. Predicted Value Std. Residual Minimum 89.36 -115.356 -2.753 -2.391 Maximum 202.81 125.825 2.780 2.608 Mean 145.80 .000 .000 .000 Std. Deviation 20.505 47.999 1.000 .995 N 100 100 100 100 a. Dependent Variable: injury We want these residual values to be as small as possible because the smaller the residual values, the better our data is fitting the regression line. Charts Normal P-P Plot of Regression Standardized Residual Histogram Dependent Variable: injury Dependent Variable: injury 1.0 20 0.8 15 0.6 10 y ...

Lecture 15

Rochester, PSC 200
Excerpt: ... R Square .222 Std. Error of the Estimate 14.73484 a. Predictors: (Constant), BOOKS R Squared = Percent Variance Explained (0.49 0.49) Corrects for small n SPSS Output: Part 2: ANOVA ANOVAb Sum of Squares 2633.513 8250.387 10883.900 df 1 38 39 Mean Square 2633.513 217.115 F 12.130 Sig. .001a Regression Residual Total a. Predictors: (Constant), BOOKS b. Dependent Variable: GRADE We'll ignore this part SPSS Output: Part 3: The Coefficients Coefficientsa Unstandardized Coefficients Model 1 (Constant) BOOKS B 52.075 5.737 Std. Error 4.035 1.647 Standardized Coefficients Beta .492 t 12.905 3.483 Sig. .000 .001 a. Dependent Variable: GRADE Almost all of this is important. Here we show one Independent variable. SPSS Output: Part 3(i): The Coefficents - B Coefficientsa Unstandar dized Coefficient B s 52.075 5.737 Model 1 B is shown for each independent variable and the constant. (Constant) BOOKS a. Dependent Variable: GRADE B for books is the increase in grade when you read one more book Co ...

preference_testing

Washington, QM 520
Excerpt: ... 3 57 49 47 55 37 52 Previous Non-User of M High Low Temperature 29 27 33 23 42 30 63 53 66 50 68 42 1 Weighted Least Squares Estimation Using SPSS W = 1, 2, and 3 for soft to hard Use = 1 if previous use of M, 0 otherwise TH = 1 if temperature is high and 0 if low. 1. Full model Model Summary Model 1 R .858a R Square .736 Adjusted R Square .637 Std. Error of the Estimate 1.02279956 Use 2 distribution DF=3 for computing the p-value. a. Predictors: (Constant), TH, Use, Water ANOVAb,c Model 1 Sum of Squares 23.341 8.369 31.710 df 3 8 11 Mean Square 7.780 1.046 F 7.437 Sig. .011a Regression Residual Total a. Predictors: (Constant), TH, Use, Water b. Dependent Variable: logit c. Weighted Least Squares Regression - Weighted by W Coefficientsa,b Unstandardized Coefficients B Std. Error .399 .188 -.010 .081 -.565 .131 -.255 .137 Standardized Coefficients Beta -.022 -.782 -.339 Model 1 (Constant) Water Use TH t 2.115 -.120 -4.306 -1.858 Sig. .067 .907 .003 .100 a. Dependent Variable: logit b. Weighte ...

Week11

Michigan, STAT 350
Excerpt: ... ssion in SPSS: Analyze> Regression> Linear Make sure you select "save" and select " Unstandardized" under "Residuals", this automatically creates a new column of residuals in your data set . You will need them for checking assumptions! Module 10: Activity 2 Regression Line and Slope interpretation: Coefficientsa Unstandardized Coefficients B Std. Error 15.674 4.032 2.025 .292 Standardized Coefficients Beta .703 95% Confidence Interval for B Lower Bound Upper Bound 7.571 23.776 1.438 2.613 t 3.888 6.925 Sig. .000 .000 Model 1 (Constant) PovPct a. Dependent Variable: TeenBrth What is the estimated regression line? Predicted_TeenBrth = 15.674 + 2.025(PovPct) Predicted_TeenBrth = 2.025 + 15.674(PovPct) PovPct = 15.674 + 2.025(Predicted_TeenBrth) PovPct = 2.025 + 15.674(Predicted_TeenBrth) Module 10: Activity 2 Regression Line and Slope interpretation: Coefficientsa (Constant) PovPct Unstandardized Coefficients B Std. Error 15.674 4.032 2.025 .292 Standardized Coefficients Beta ...

Regressiont

North Texas, RSS 5700
Excerpt: ... efore i.e. you treat that 0,1 grouping variable like any other in calculating the correlation coefficient However, the sign is arbitrary since either Group 0 0 0 0 0 1 1 1 1 1 Outcome 3 5 7 2 3 6 7 7 8 9 group could have been a one or zero, and so that needs to be noted Graphical The display R-square is .762 = .577 The regression equation is ^ Y = 4 + 3.4(Group ) Look closely at the descriptive output compared to the coefficients. What do you see? Descriptive Statistics Group 0 1 N Outcome Valid N (listwise) Outcome Valid N (listwise) 5 5 5 5 7.40 1.140 Mean 4.00 Std. Deviation 2.000 Coefficientsa Unstandardized Coefficients Model 1 (Constant) Group B 4.000 3.400 Std. Error .728 1.030 Standardized Coefficients Beta .760 t 5.494 3.302 Sig. .001 .011 a. Dependent Variable: Outcome Note again our regression equation Recall the definition for the slope and constant First the constant, what does "when X = O" mean here in this setting? It means when we are in the O group What is that ...

reg2

Texas A&M, STAT 302
Excerpt: ... The following scatterplot and SPSS output represent data collected on 89 middle-aged people. The relationship between body weight and percent body fat is to be studied. 40 Descriptive Statistics 30 ANOVA Model 1 Sum of Squares 2022.828 3899.180 5922.008 df 1 87 88 Mean Square 2022.828 44.818 N % body fat Weight in pounds F Sig. 45.134 .000 89 89 20 Mean 17.6371 177.0354 Variance 67.296 844.522 10 Regression Residual Total Model Summary Model 1 R .5844 R Square .3416 Adjusted R Square .3340 Std. Error of the Estimate 6.6946 % body fat 0 -10 100 120 140 160 180 200 220 240 260 280 Weight in pounds Coefficients Unstandardized Coefficients B Std. Error -11.570 4.405 .165 .025 Standardized Coefficients Beta .584 Model 1 (Constant) Weight in pounds t -2.627 6.718 Sig. .0102 .0000 30. 31. 32. What is the equation of the least squares regression line? What is the value of the correlation between body fat and body weight? Let 1 be the population correlation between body fat and body weight. What i ...

350path

UNL, UNIT 350
Excerpt: ... ll model above, we will need two "layers" of multiple regressions: 1. with AM as the criterion and SES & IQ as the predictors 2. with GPA as the criterion and SES, IQ & AM as the predictors The "First layer" multiple regression for the full model Model Summary Model 1 R .412a R Square .169 Coefficientsa Unstandardized Coefficients B Std. Error .000 .172 .616 .086 8.810E-03 .012 Standardized Coefficients Beta .398 .041 Model 1 a. Predictors: (Constant), IQ, SES (Constant) SES IQ t .000 7.177 .734 Sig. 1.000 .000 .464 a. Dependent Variable: AM The "Second Layer" multiple regression for the full model Model Summary Model 1 R R Square .705a .496 Coefficientsa Unstandardized Coefficients Std. B Error .000 .051 5.470E-03 .028 4.172E-02 .004 .160 .017 Standardized Coefficients Beta .009 .501 .416 t .000 .196 11.569 9.194 Sig. 1.000 .845 .000 .000 a. Predictors: (Constant), AM, IQ, SES Model 1 (Constant) SES IQ AM a. Dependent Variable: GPA Portraying the Full Path Model The path coefficients are ...

Handout8

W. Alabama, STAT 311
Excerpt: ... SPSS Example: Residual Analysis I (House Price Data) 1. Simple Linear Regression Model with Y = Price 1.1 Scatter Plot 200 180 160 140 120 100 80 and x = sq_ft PRICE 60 40 0 1000 2000 3000 SQ_FT 1.2 Model Fitting Model Summary(b) Adjusted R Square .682 Std. Error of the Estimate 14.903688 Model 1 R .828(a) R Square .685 a Predictors: (Constant), SQ_FT b Dependent Variable: PRICE Coefficients(a) Standardized Coefficients Beta .828 t 2.095 15.182 Sig. .039 .000 Unstandardized Coefficients Model 1 B (Constant) SQ_FT a Dependent Variable: PRICE 12.213 .049 Std. Error 5.829 .003 1.3 Residual Plot: Residual vs Fitted Value (Note: Save the Unstandardized predicted values and the standardized residuals when you fit the linear regression model. You should see two extra columns in your original data file names "pre_1" and "zre_1". Make a scatter plot using zre_1 as the y variable and Pre_1 as the x variable.) 4 3 2 1 Standardized Residual 0 -1 -2 -3 40 60 80 100 120 140 160 Unstandardized Predicted ...

KINE3150-mlr4

Maple Springs, KINE 3150
Excerpt: ... (If outcome is continuous) Logistic Regression (If outcome is 2 levels) Multiple Linear Regression (If outcome is continuous) Multivariate Analysis is used for adjusting for confounding variables. Multivariate Analysis WHY? To investigate the effect of more than one independent variable. Predict the outcome using various independent variables. Adjust for confounding variables Multiple Linear Regression: Ex 1 Example 1: Research question: Does height and gender help to predict weight using a straight line model? SPSS Output: Model Summary Model 1 R R Square .741a .548 Adjusted R Square .548 Std. Error of the Estimate 9.645 a. Predictors: (Constant), gender, height Coefficients Unstandardized Coefficients B Std. Error -44.980 6.674 .734 .035 -9.646 .641 a Model 1 Standardized Coefficients Beta .466 -.332 (Constant) height gender t -6.740 21.146 -15.048 Sig. .000 .000 .000 a. Dependent Variable: weight Multiple Linear Regression: Ex 1 BEFORE Does height help to predict weight? Model Summary Model 1 ...

MediationOutput

Illinois State, PSY 443
Excerpt: ... Coefficients from Test of Mediation Regression Coefficientsa Unstandardized Coefficients B Std. Error 78.888 4.710 -.523 .061 Standardized Coefficients Beta -.613 Model 1 (Constant) Social support t 16.748 -8.608 Sig. .000 .000 a. Dependent Variable: Loneliness Coefficientsa Unstandardized Coefficients B Std. Error 2.338 2.863 .200 .037 Standardized Coefficients Beta .448 Model 1 t .817 5.438 (Constant) Social support Sig. .416 .000 a. Dependent Variable: Life satisfaction Coefficientsa Unstandardized Coefficients B Std. Error 20.938 4.683 .076 .042 -.236 .049 Standardized Coefficients Beta .171 -.456 Model 1 (Constant) Social support Loneliness t 4.471 1.800 -4.799 Sig. .000 .074 .000 a. Dependent Variable: Life satisfaction ...

MISSING

Oregon, PSY 612
Excerpt: ... or will artificially increase the N and decrease the variance. E. Example Regression on full data. Model Summary Model 1 R .880a R Square .775 Adjusted R Square .774 Std. Error of the Estimate 3246.142 a. Predictors: (Constant), SALBEG 4 ANOVAb Model 1 Sum of Squares 1.71E+10 4.97E+09 2.21E+10 df 1 472 473 Mean Square 1.709E+10 10537439.55 F 1622.118 Sig. .000a Regression Residual Total a. Predictors: (Constant), SALBEG b. Dependent Variable: SALNOW Coefficientsa Unstandardized Coefficients B Std. Error 771.282 355.472 1.909 .047 Standardized Coefficients Beta .880 Model 1 (Constant) SALBEG t 2.170 40.276 Sig. .031 .000 a. Dependent Variable: SALNOW Regression on data with several observations missing. Model Summary Model 1 R .879a R Square .773 Adjusted R Square .772 Std. Error of the Estimate 3290.790 a. Predictors: (Constant), NSALBEG ANOVAb Model 1 Sum of Squares 1.54E+10 4.53E+09 1.99E+10 df 1 418 419 Mean Square 1.541E+10 10829298.54 F 1423.196 Sig. .000a Regression Residual Total a. Pre ...

lecture008multiple_regression

Cleveland State, UST 601
Excerpt: ... + 5,000( female) Multiple Regression Analysis (Example) Salary = -14,367.2 + 7,983male + 3,076educ Model Summary Model 1 R .610a R Square .373 Adjusted R Square .372 Std. Error of the Estimate 11497.38608 a. Predictors: (Constant), years of education completed, male ANOVAb Model 1 Sum of Squares 3E+011 5E+011 7E+011 df 2 3481 3483 Mean Square 1.366E+011 132189886.6 F 1033.479 Sig. .000a Regression Residual Total a. Predictors: (Constant), years of education completed, male b. Dependent Variable: salary in 1991 SPSS data: opm91.sav Coefficientsa Unstandardized Coefficients B Std. Error -14367.2 1335.065 7983.294 415.297 3075.956 96.110 Standardized Coefficients Beta .275 .458 Model 1 (Constant) male years of education completed t -10.761 19.223 32.004 Sig. .000 .000 .000 a. Dependent Variable: salary in 1991 Multiple Regression Analysis (Example) Coefficientsa Unstandardized Coefficients B Std. Error -14367.2 1335.065 7983.294 415.297 3075.956 96.110 Standardized Coefficients Beta .275 .458 Mode ...

Chap5.SPSS.Corr

Michigan, MVS 250
Excerpt: ... lyze menu. b. Scroll down to the Regression submenu and select the Linear. option. 38 c. A window opens up. The window is shown below: d. Select the variable distance and move it into the Dependent: box. e. Select the variable age and move it into the Independent(s): box. f. Click OK. The SPSS Output Regression b Variables Entered/Removed Model 1 Variables Entered a AGE Variables Removed . Method Enter a. All requested variables entered. b. Dependent Variable: DISTANCE Model Summary Model 1 R .801a R Square .642 Adjusted R Square .629 Std. Error of the Estimate 49.762 a. Predictors: (Constant), AGE 39 ANOVAb Model 1 Sum of Squares 124332.6 69334.024 193666.7 df 1 28 29 Mean Square 124332.643 2476.215 F 50.211 Sig. .000a Regression Residual Total a. Predictors: (Constant), AGE b. Dependent Variable: DISTANCE Coefficientsa Unstandardized Coefficients B Std. Error 576.682 23.471 -3.007 .424 Standardized Coefficients Beta -.801 Model 1 (Constant) AGE t 24.570 -7.086 Sig. .000 .000 a. Depe ...

Table 7-5 - Multiple Regression

N. Arizona, EPS 525
Excerpt: ... 882 7.023 df 1 10 11 Mean Square 5.141 .188 F 27.316 Sig. .000a Regression Residual Total a. Predictors: (Constant), IQ b. Dependent Variable: GPA Coefficientsa Unstandardized Coefficients B Std. Error -7.006 1.780 .074 .014 Standardized Coefficients Beta .856 Model 1 (Constant) IQ t -3.936 5.226 Sig. .003 .000 a. Dependent Variable: GPA Regression of GPA (Y) on Study Time (X) Descriptive Statistics GPA StudyTime Mean 2.275 11.33 Std. Deviation .7990 3.447 N 12 12 Correlations Pearson Correlation Sig. (1-tailed) N GPA StudyTime GPA StudyTime GPA StudyTime GPA 1.000 .829 . .000 12 12 StudyTime .829 1.000 .000 . 12 12 b Variables Entered/Removed Model 1 Variables Entered StudyTimea Variables Removed . Method Enter a. All requested variables entered. b. Dependent Variable: GPA Model Summary Model 1 R .829a R Square .687 Adjusted R Square .655 Std. Error of the Estimate .4691 a. Predictors: (Constant), StudyTime ANOVAb Model 1 Sum of Squares 4.822 2.201 7.023 df 1 10 11 Mean Square 4.822 .220 ...

final-kahs5010-6pslide

Maple Springs, KAHS 5010
Excerpt: ... Regression CONTINUOUS T-test Multivariate analyses Multivariate Analysis WHY? Logistic Regression (If outcome is 2 levels) Multiple Linear Regression (If outcome is continuous) To investigate the effect of more than one independent variable. Predict the outcome using various independent variables. Adjust for confounding variables Multivariate Analysis is used for adjusting for confounding variables. Multivariate analyses Multiple Linear Regression: Ex 1 Example 1: Research question: Does height and gender help to predict weight using a straight line model? SPSS Output: Model Summary Model 1 R R Square .741a .548 Adjusted R Square .548 Std. Error of the Estimate 9.645 Logistic Regression (If outcome is 2 levels) Multiple Linear Regression (If outcome is continuous) a. Predictors: (Constant), gender, height Coefficients Unstandardized Coefficients B Std. Error -44.980 6.674 .734 .035 -9.646 .641 a Model 1 Standardized Coefficients Beta .466 -.332 (Constant) height gender t -6.740 21.146 -15.04 ...

final-kahs50103psline

Maple Springs, KAHS 5010
Excerpt: ... ar Regression CONTINUOUS T-test Multivariate analyses Logistic Regression (If outcome is 2 levels) Multiple Linear Regression (If outcome is continuous) Multivariate Analysis is used for adjusting for confounding variables. Multivariate Analysis WHY? To investigate the effect of more than one independent variable. Predict the outcome using various independent variables. Adjust for confounding variables Multivariate analyses Logistic Regression (If outcome is 2 levels) Multiple Linear Regression (If outcome is continuous) Multiple Linear Regression: Ex 1 Example 1: Research question: Does height and gender help to predict weight using a straight line model? SPSS Output: Model Summary Model 1 R R Square .741a .548 Adjusted R Square .548 Std. Error of the Estimate 9.645 a. Predictors: (Constant), gender, height Coefficients Unstandardized Coefficients B Std. Error -44.980 6.674 .734 .035 -9.646 .641 a Model 1 Standardized Coefficients Beta .466 -.332 (Constant) height gender t -6.740 21.146 -15. ...

crossvalidation

MTSU, PSY 628
Excerpt: ... 23.669 2.992 F 7.911 Sig. .002a Regression Residual Total a. Predictors: (Constant), studentage, teacherrating b. Dependent Variable: statsanx Coefficientsa Unstandardized Coefficients B Std. Error 11.1404 3.846 -.8819 .289 .2250 .092 Standardized Coefficients Beta -.490 .392 95% Confidence Interval for B Lower Bound Upper Bound 3.184 19.097 -1.480 -.284 .034 .416 Correlations Partial -.537 .454 Model 1 (Constant) teacherrating studentage t 2.896 -3.052 2.441 Sig. .008 .006 .023 Zero-order -.504 .409 Part -.490 .392 a. Dependent Variable: statsanx Residual Statistics Summary Omitted for brevity Charts Omitted for brevity For Sample=0, the regression model is: Predicted Stats anxiety = 11.1404-0.8819*teacherrating+0.2250*studentage Remove the Sample=0 restriction. Cross-validation 6 Calculate predicted statistics anxiety scores for individuals in the other sample (Sample=1). Cross-validation 7 Finally, estimate the correlation between the actual statistics anxiety scores of Sample=1 and ...

pathex1

UNL, PSYCH 451
Excerpt: ... dep am/ enter ses iq. Model Summary Model 1 R .412a R Square .169 a Coefficients Model 1 Unstandardized Coefficients B Std. Error (Constant) SES IQ .000 .616 8.810E-03 .172 .086 .012 Standardized Coefficients Beta .398 .041 t .000 7.177 .734 Sig. 1.000 .000 .464 a. Predictors: (Constant), IQ, SES a. Dependent Variable: AM Getting the "Second Layer" multiple regression for the full model regression matrix = in(*)/ dep gpa/ enter ses iq am. Model Summary Model 1 R R Square .705a .496 Coefficientsa Unstandardized Coefficients Std. B Error (Constant) SES IQ AM .051 .028 .004 .017 Standardized Coefficients Beta t Sig. 1.000 .845 .000 .000 a. Predictors: (Constant), AM, IQ, SES Model 1 .000 5.470E-03 4.172E-02 .160 a. Dependent Variable: GPA .000 .009 .196 .501 11.569 .416 9.194 Portraying the Full Path Model The path coefficients are the weights from the multiple regression analyses. The "e" values (roughly error variance) are computed as v (1-R) (e.g., eAM = v (1-.169) = .912 ) eAM = .911 .0 ...

710-13_regression_analysis

Wisconsin, BUSI&CS CS559, MTK
Excerpt: ... usted R Square .212 Std. Error of the Estimate 79.095 a. Predictors: (Constant), DiGiorno Price a Coe fficients Model 1 (Constant) DiGiorno Price Unstandardized Coefficients B Std. Error 480.949 11.647 -69.552 2.026 Standardized Coefficients Beta -.461 t 41.294 -34.326 Sig. .000 .000 a. Dependent Variable: DiGiorno Sales Price has a significantly negative relationship with brand sales Multiple Regression: DiGiorno a Coe fficients Model 1 (Constant) DiGiorno Price DiGiorno Feature DiGiorno Display Uns tandardized Coefficients B Std. Error 321. 175 12.105 -44. 647 2.057 38.175 3.132 90.859 3.614 Standardized Coefficients Beta -.296 .163 .328 t 26.531 -21. 708 12.189 25.141 Sig. .000 .000 .000 .000 Significantly negatively a. Dependent Variable: DiGiorno Sales R-Square Adjust = 0.35 a Coe fficients Model 1 (Constant) DiGiorno Price DiGiorno Feature DiGiorno Display Tombstone Price Jack 's Price Fres chetta Price Red Baron Price Tony 's Price ...

reading_spss_output

Wisc La Crosse, MATH 145
Excerpt: ... Square .528 a Predictors: (Constant), SysBP Coefficients(a) Unstandardized Coefficients Model 1 B 8.930 .535 Std. Error 6.621 .057 Standardized Coefficients Beta .727 t 1.349 9.347 Sig. .181 .000 (Constant) SysBP a Dependent Variable: DiasBP a. Regression Line: DiasBP = 8.930 + 0.535*SysBP b. To test Ho: b=0 vs. H1: b0. The t_obs can be found in the second to the last column of the last row. In this example, t_obs=9.347. The corresponding p- value for this t_obs is the value next to it under the column "Sig." ...

take_home_quiz08_regression_answer

Cleveland State, UST 601
Excerpt: ... PAD/PDD/UST 601, Applied Quantitative Reasoning I Dr. Sugie Lee CSU ID: Name: TakeHome Quiz 08 : Regression Analysis Question 1 ( 1 pts). Find the linear equation Object 1 Object 2 Object 3 Object 4 Object 5 Variable X (Input) 1 2 3 4 5 Variable Y (output) 5 10 15 20 25 Y = a + bX Y = 0 + 5x Note: Object 5, Variable Y was changed from 35 to 25. Question 2 (4 pts). Answer the following questions using the table below. Coefficientsa Unstandardized Coefficients B Std. Error 29.671 9.647 .134 .032 Standardized Coefficients Beta .833 Model 1 (Constant) shelf_space t 3.076 4.257 Sig. .015 .003 a. Dependent Variable: spice_sales 1. Show the regression equation. Y = 39.671 + .134 x 2. Interpret the unstandardized coefficient of "shelf_space." A one unit change in shelf space results in a .134 unit change in spice sales 3. Calculate the Pearson's correlation coefficient The standardized beta in the regression with two variables is equal to the correlation co ...

modbuild

UF, STA 6127
Excerpt: ... Model Building Example Crime Index Model 1 E(Crime) = + (NOSC1619) b Model Summary Model 1 R .948a R Square .899 Adjusted R Square .898 Std. Error of the Estimate 49.68420 a. Predictors: (Constant), NOSC1619 b. Dependent Variable: CRIMIND Coefficientsa Unstandardized Coefficients B Std. Error -22.954 7.993 115.071 4.671 Standardized Coefficients Beta .948 95% Confidence Interval for B Sig. Lower Bound Upper Bound .005 -38.904 -7.005 .000 105.750 124.393 Collinearity Statistics Tolerance VIF 1.000 1.000 Model 1 (Constant) NOSC1619 t -2.872 24.634 a. Dependent Variable: CRIMIND Histogram Dependent Variable: CRIMIND 30 20 Frequency 10 Std. Dev = .99 Mean = 0.00 0 -3.00 -2.00 -1.00 -.50 0.00 .50 1.00 1.50 2.00 2.50 3.00 -2.50 -1.50 N = 70.00 Regression Standardized Residual Scatterplot Dependent Variable: CRIMIND 4 Regression Studentized Residual 3 2 1 0 -1 -2 -3 -4 -1 0 1 2 3 4 5 Regression Standardized Predicted Value Comments: 1) NOSC1619 (Current Dropouts) Explains 90% of variat ...

PSY710(InteractiveModels)

Wisconsin, PSY 710
Excerpt: ... td. Error of the Estimate 2.47942 ANOVAb Model 1 Sum of Squares 3250.000 750.000 4000.000 df 2 122 124 Mean Square 1625.000 6.148 F 264.333 Sig. .000a a. Predictors: (Constant), PP, Att Regression Residual Total a. Predictors: (Constant), PP, Att b. Dependent Variable: BC Coefficientsa Unstandardized Coefficients B Std. Error 8.000 .701 3.000 .157 -2.000 .157 Standardized Coefficients Beta .750 -.500 Correlations Partial .866 -.756 Model 1 (Constant) Att PP t 11.408 19.131 -12.754 Sig. .000 .000 .000 Zero-order .750 -.500 Part .750 -.500 a. Dependent Variable: BC Why is the difference between the partial correlation vs. zero order correlation greater for PP than for ATT The denominator for zero-order correlation is total DV variance. The denominator for partial correlation is the DV variance not explained by other IVs in the model. This is a bigger change for PP b/c ATT explains more variance in 7 BC 7 Interactive Models: Two Quantitative Variables Model Summary Model 1 R .901a R Square .813 Adj ...