Question

In: Math

                  Dog Bites                       

                  Dog Bites                                 Self-Esteem         Shoe                         Extraversion        40yd

                  13                                                6                                 8                                 90                              5.5

                  3                                                   21                              9                                 24                              4.6

                  20                                                2                                 15                              98                              6.3

                  7                                                   15                              11                              55                              5.4

                  9                                                   13                              12                              59                              5.6

                  2                                                   20                              9                                 32                              4.4

                  13                                                6                                 11                              87                              6.8           

                  15                                                2                                 9                                 97                              6.7

                  5                                                   23                              10                              23                              4.6

                  6                                                   11                              9                                 50                              5.2

                  19                                                4                                 11                              84                              6.1

                  16                                                5                                 9                                 80                              6.6

                  6                                                   22                              9                                 21                              4.5

                  4                                                   19                              13                              26                              4.8

Give me the regression equation and the results of the statistical test (including null hypothesis tested and the decision reached) for this data (include null and decision) Want to predict the number of dog bites from self-esteem, shoe, extraversion, and 40 yd.Include SPSS

Solutions

Expert Solution

Give me the regression equation and the results of the statistical test (including null hypothesis tested and the decision reached) for this data (include null and decision) Want to predict the number of dog bites from self-esteem, shoe, extraversion, and 40 yd.Include SPSS

The estimated regression line is

Dog Bites = 4.424 -0.419*Self-Esteem +0.423*Shoe +0.058*Extraversion+0.485*40yd

Ho: The regression model is not significant.

H1: The regression model is significant.

Calculated F= 14.496, P=0.001 which is < 0.05 level of significance. Ho is rejected. The regression model is significant.

SPSS output:

Descriptive Statistics

Mean

Std. Deviation

N

Dog Bites

9.8571

6.04925

14

Self.Esteem

12.0714

7.89805

14

Shoe

10.3571

1.94569

14

Extraversion

59.0000

29.94354

14

40yd

5.5071

.86688

14

Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

1

.930a

.866

.806

2.66496

a. Predictors: (Constant), 40yd, Shoe, Extraversion, Self.Esteem

ANOVAa

Model

Sum of Squares

df

Mean Square

F

Sig.

1

Regression

411.796

4

102.949

14.496

.001b

Residual

63.918

9

7.102

Total

475.714

13

a. Dependent Variable: Dog Bites

b. Predictors: (Constant), 40yd, Shoe, Extraversion, Self.Esteem

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

95.0% Confidence Interval for B

B

Std. Error

Beta

Lower Bound

Upper Bound

1

(Constant)

4.424

18.068

.245

.812

-36.449

45.297

Self.Esteem

-.419

.487

-.547

-.860

.412

-1.520

.683

Shoe

.423

.391

.136

1.082

.308

-.461

1.306

Extraversion

.058

.125

.289

.466

.653

-.225

.342

40yd

.485

2.243

.069

.216

.834

-4.589

5.559

a. Dependent Variable: Dog Bites


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