22] The researchers wondered if perhaps there was an interaction effect between feedback and perseverance. The produced

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22 The Researchers Wondered If Perhaps There Was An Interaction Effect Between Feedback And Perseverance The Produced 1 (199.28 KiB) Viewed 26 times

22] The researchers wondered if perhaps there was an interaction effect between feedback and perseverance. The produced the following model: + wais, data lm (formula = force - feedback * perseverance examlbb) Coefficients: Estimate Std. Error t value Dr(>1 tl) (Intercept) 168.3883 14.3422 11.741 < 2e-16 *** feedback 73.6876 14.5041 5.080 2.67e-06 *** perseverance 6.4271 1.7549 3.662 0.000463 *** wais 0.2809 0.9744 0.288 0.773911 feedback:perseverance -6.3827 2.4481 -2.607 0.011010 * www 0 *** Signif. codes: 0.001 **! 0.01 *! 0.05 '.' 0.1 II 1 Residual standard error: 25.44 on 75 degrees of freedom Multiple R-squared: 0.4486, Adjusted R-squared: 0.4192 F-statistic: 15.25 on 4 and 75 DF, p-value: 3.601e-09 a) When comparing the model to the one without the interaction, what evidence do you see to indicate whether or not there is an interaction? Explain. b) When writing up their results, the researchers wrote “In our second model the effect of the feedback was seen to be almost twice as much as in our first model.” Is their statement accurate? Explain. c) Find the predicted grip force for someone in the no feedback condition (feedback =0) and with perseverance = 8 and wais = 8. You may round a bit as you calculate. d) Explain what the researchers learned from the model with the interaction. In particular, explain what it means that previously, the slope for perseverance was about 3, and now in this model the slope is 6, and the slope for the interaction term is -6. What is the pattern that these results describe? Hint: there were equal numbers of people in the feedback 0 and 1 conditions.