Below is the SPSS output for the relationship between height at age 3 (X) and at age 20 (Y). Correlations   heightAt3 heightAt20 heightAt3 Pearson Correlation 1 .840** Sig. (2-tailed)   .000 N 16 16 heightAt20 Pearson Correlation .840** 1 Sig. (2-tailed) .000   N 16 16 **. Correlation is significant at the 0.01 level (2-tailed).   ANOVAa Model Sum of Squares df Mean Square F Sig. 1 Regression 236.838 1 236.838 33.628 .000b Residual 98.599 14 7.043     Total 335.438 15        Dependent Variable: heightAt20  Predictors: (Constant), heightAt3   Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) 41.679 4.470   9.325 .000 heightAt3 .664 .114 .840 5.799 .000  Dependent Variable: heightAt20   State hypothesis for the correlation: Is the correlation significant using α = .01?   State the conclusion in APA format.   Evaluate the regression equation using α = .01 and state the conclusion in APA format. what is the regression equation? Using the regression equation, if a child is 42 inches at 3 how tall would you predict that he will be at age 20?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. Below is the SPSS output for the relationship between height at age 3 (X) and at age 20 (Y).

Correlations

 

heightAt3

heightAt20

heightAt3

Pearson Correlation

1

.840**

Sig. (2-tailed)

 

.000

N

16

16

heightAt20

Pearson Correlation

.840**

1

Sig. (2-tailed)

.000

 

N

16

16

**. Correlation is significant at the 0.01 level (2-tailed).

 

ANOVAa

Model

Sum of Squares

df

Mean Square

F

Sig.

1

Regression

236.838

1

236.838

33.628

.000b

Residual

98.599

14

7.043

 

 

Total

335.438

15

 

 

 

 Dependent Variable: heightAt20

 Predictors: (Constant), heightAt3

 

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

B

Std. Error

Beta

1

(Constant)

41.679

4.470

 

9.325

.000

heightAt3

.664

.114

.840

5.799

.000

 Dependent Variable: heightAt20

 

  1. State hypothesis for the correlation:
  2. Is the correlation significant using α = .01?

 

  1. State the conclusion in APA format.

 

  1. Evaluate the regression equation using α = .01 and state the conclusion in APA format.
  2. what is the regression equation?
  3. Using the regression equation, if a child is 42 inches at 3 how tall would you predict that he will be at age 20?

 

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