Question

Age     Mem   IQ        Reading Ability

6.7       4.4       95        7.2

5.9       4          90        6

5.5       4.1       105      6

6.2       4.8       98        6.6

6.4       5          106      7

7.3       5.5       100      7.2

5.7       3.6       88        5.3

6.15     5          95        6.4

7.5       5.4       96        6.6

6.9       5          104      7.3

4.1       3.9       108      5

5.5       4.2       90        5.8

6.9       4.5       91        6.6

7.2       5          92        6.8

4          4.2       101      5.6

7.3       5.5       100      7.2

5.9       4          90        6

5.5       4.2       90        5.8

4          4.2       101      5.6

5.9       4          90        6

Paragraph Styles Tasks: Review the SPSS data file provided for this exam. The SPSS data file contains data that was collected on 20 children by a researcher. You will analyze the data to determine if any of the following have an effect on a child's reading ability (read ab): child's age (age), memory span (mem span) or IQ (iq). Part A: For each regression model indicated, provide the following answers on the pages that follow. a. What is the ANOVA table? b. What is the regression equation? Conduct the test for the significance of the Overall Regression Model? What is R2? what are the 95% confidence intervals for the estimates of the regression coefficients- the B/'s? Provide an interpretation of the slopes, b's d. e. f. Models Independent variable Dependent variables Models f. Provide an interpretation of the slopes, bis Models Independent variable Dependent variables read ab read ab read ab read ab read ab read ab read ab Models Model 1 Model 2 Model 3 Model 4 Model 5 Model 6 Model 7 age mem span age, mem span age, iq mem span, iq age, mem span, ig Tell me what you want to do FOXIT PDF Help View Review Mailings Aa - |1Normal!!No Spac ·IO: ▼an Heading 2 Heading 1 ツ·A-11丰 Styles Paragraph ame Part B: For each model describe which independent variables are useful in explaining reading ability. Independent variable Justification Models Model 1 Model 2 Model 3 Model 4 Model 5 Model 6 Model 7 ое 20 00 00 60 00 20 30 40 60 30 00 80 60 80 60 20 00 80 60 00 a| 7 6 6 6 7 7 5 6 6 7 5 5 6 6 5 7 6 5 5 6 b- 2_0_0_6-02- 0_0_0_0|0|0 0 0 0 0 0 0 0 0 0 50586 0 8 5 6 9-9-0-9-0 0 8 9 9 8012100010 0999009-909 0|0|0|0|0 0 0 0 0 0 0 0 0 n! 4 0 18056 0 4 0 9 2 5 0250220 ba 4-4-4 4 5-5-3 5 5.5 3 4 4 5 45 4 4 4 4 0-0-0- 7 9524371 0 0 0 0 5000000-000 039509 8 591592 667 567 6 4 5 6 7 4 7 5 5 4 5 e655 |||23|4|| 5 | 6||780 10 12 13 14 15 6 7 18 19 20 Styles Paragraph Name: Part C: Select one model you would use to explain reading ability. Then use that model to find the 95% confidence interval estimate for the mean reading ability 95% prediction interval for reading ability When age 6, mem_ span 4.2 and iq 91.

Answer 1

a)

ANOVA Sum of Squares Sig. 2.499 26.982000 df Mean Square Model 7.498 1.482 8.980 Regression Residual Total 16 093 19 a. Dependent Variable Reading_Ability b. Predictors: (Constant), IQ, Age, Mem

b)

Coefficients" Standardized Unstandardized Coefficients Coefficients Beta Std. Error Sig Model .106 466 269 025 938 001 264 120 (Constant) Age Mem IQ 1.338 122 233 015 .079 3.828 1.158 1.643 727 .226 .226 a. Dependent Variable Reading_Ability

The regression equation is

0.466( age) + 0.269(Mem) + 0.025( IQ) yー-0. 106

c)

From the ANOVA table above F-statistic is 26.982 and P-value of F-statistic is 0.000 < 0.05 We reject the null hypothesis that the regression model is not significant.

Thus we conclude that the model is significant.

d)

Model Summa Change Statistics R Square Change Adjusted R Square Std. Error of the Estimate Durbin- Watson F Change R Square df2 Change df1 Model 914 804 26.982 835 30435 835 2.029 a. Predictors: (Constant), IQ, Age, Mem b. Dependent Variable Reading Ability

R-squared = 0.835

Thus our model explains 83.5% variation in the Y variable.