4) A researcher was interested in determining whether a six-week low- or high-intensity exercise-training program was est at reducing blood cholesterol concentrations in middle-aged men. Both exercise programs were designed so that the same number of calories was expended in the low- and high-intensity groups. As such, the duration of exercise differed between groups. The researcher expected that any reduction in cholesterol concentration elicited by the interventions would also depend on the participant's initial cholesterol concentration. As such, the researcher wanted to use pre- intervention cholesterol concentration as a covariate when comparing the post- intervention cholesterol concentrations between the interventions and a control group. Therefore, the researcher ran a one-way ANCOVA with: (a) post-intervention cholesterol concentration (post) as the dependent variable; (b) the control and two intervention groups as levels of the independent variable, group; and (c) the pre-intervention cholesterol concentrations as the covariate, pre. Using the table below, please respond to the following item: please explain why the value of R, provided as a footnote in the table below, the same value as the value of Partial Eta Squared in the table below? Tests of Between-Subjects Effects Dependent Variable: Post Source Type III Sum of df Mean F Sig. Partial Eta Squares Square Sau, Corrected 17.687 3 5.896 475.503 000 972 Model Intercept 001 1 .001 .120 .731 003 pre 13.412 1 13.412 1081.692 000 963 group 2.616 2 1.308 105.512 -000 837 Error 508 41 .012 Total 1494.874 45 Corrected 18.196 44 Total a. R Squared - .972 (Adjusted R Squared = .970) 5) Imagine we wanted to investigate the effects of three different conflict styles (avoiding, compromising and competing) on relationship satisfaction, but we discover that relationship satisfaction is known to covary with self-esteem. Please fill in the blanks below to complete an appropriate question for this analysis What would the mean relationship satisfaction be for the three if were also included as a continuous variable in the model