Question

Therapy Study " A hospital administrator wishes to assess the relationship between a patient's level of anxiety (x) and that patient's level of satisfaction (y) with a new hospital treatment. A linear regression analysis was performed on data for a random sample of n -46 patients who went through this new therapy treatment. A summary of the results is given below: 3. StdDev Min. 1st Qu. Median 3rd Qu. Max. Mean Satisfaction 61.57 17.24 26.00 48.25 60.0076.75 92.00 Anxiety 2.287 0.30 1.800 2.100 2.300 2.475 2.900 са 11 : In(formula therapy$Satisfaction therapy$Anxiety) - ~ Residuals: Min 1Q Median 3Q Max 20.369 -9.606 -1.946 9.212 31.631 Coefficients: Estimate Std. Error t value Pr (>Itl) 146.449 37.117 (Intercept) Anxiety 15.304 9.569 2.55e-12 6.637-5.593 1.33e-06 Signif. codes: 0* O.001 '**' 0.01 '*' 0.05 '.'0.1 '1 Residual standard error: 13.33 on 44 degrees of freedom Multiple R-squared: 0.4155, F-statistic: 31.28 on 1 and 44 DE Adjusted R-squared: 0.4022 p-value: 1.335e-06 a. What is the correlation between X - level of anxiety andY level of satisfaction? Circle one: 0.4155 0.4155 Not enough information 0.6446 0.6446 Provide the equation of the line of best fit in the space below. Line of best fit equation: One patient with an anxiety level of 2.4 had a satisfaction level of 67. Compute this patient's predicted satisfaction b. c. level and then the corresponding residual. Predicted satisfaction level: Residual: One of the hospital administrator's colleagues is interested in predicting the satisfaction level of a patient with an anxiety level of 5.9. Briefly explain why this model might not be appropriate for making such a prediction. d. The hospital administrator would like to assess if level of satisfaction is linearly-related to level of anxiety. State the appropriate hypotheses to be tested. e. Йо: vs Ha Give the test statistic value that would be used to test these hypotheses, along with its corresponding p-value: Test statistic: p-value: f. Complete the following sentence % of the variability Based on this analysis, in patient satisfaction level scores can be explained by its linear relationship with anxiety scores.

Answer 1

an ALL.htst dM İntncept.d At2ict..h Line 5t 3682 63-51 210 ee thedata of An Lea min Man 593 )一九2 aned en hu 4 .55