A group of researchers are interested in testing the hypothesis that overall bod
ID: 3316640 • Letter: A
Question
A group of researchers are interested in testing the hypothesis that overall body strength in elderly women determines the number and severity of accidents these women have. They gather data from 100 elderly women and over the last three years they measure lower and upper-body strength as well as any bodily injuries. They create an overall injury index. The research team constructs a multiple linear regression model looking at the relationship between overall injury index and the following variables: strength in quadriceps, gluteus/hamstrings. Abdominals/lower back, arms/shoulders, and grip strength. The following is the SPSS output displaying the results of their analysis
Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .426a .182 .138 48.450
a. Predictors: (Constant), grip, quads, gluts, arms, abdoms
ANOVA
a Model Sum of Squares df Mean Square F Sig. 1 Regression 49058.061 5 9811.612 4.180 .002b Residual 220655.939 94 2347.404 Total 269714.000 99
a. Dependent Variable: injury
b. Predictors: (Constant), grip, quads, gluts, arms, abdoms
Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. 95.0% Confidence Interval for B B Std. Error Beta Lower Bound Upper Bound 1 (Constant) 260.393 30.170 8.631 .000 200.491 320.295 quads .628 .645 .116 .973 .333 -.654 1.909 gluts -3.245 1.038 -.360 -3.125 .002 -5.306 -1.183 abdoms -.563 .674 -.097 -.836 .406 -1.902 .775 arms -1.130 .702 -.185 -1.609 .111 -2.524 .264 grip .794 1.083 .079 .733 .465 -1.356 2.944
a. Dependent Variable: injury
A) Write out the model in symbols. Round to 3 decimal places.
B) Write the results in APA style
Explanation / Answer
(A) injury = 260.393 + 0.628*quads - 3.245*gluts - 0.563*abdoms - 1.130*arms + 0.794*grip
(B)
Response Variable Significant variables Adjusted R-square Injury increase per unit increase in X-var
Injury quads 0.138 0.628
gluts -3.245
abdoms -0.563
arms -1.130
grip 0.794
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