AutoSave OFF PHHE 605 assignment 8 - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Tell me Correlation and regression assignment (module 8) Dr. Rana Jaber Use SPSS to answer the questions and attach the SPSS output (all in a one PDF file) (4 point) Mental health care. This exercise uses data from a historical study on mental health service utilization. Fourteen Massachusetts counties are considered. The explanatory variable is the reciprocal of the distance to the nearest mental healthcare center (REC_DIST =1/DIST). The response variable is the percent of patients cared for in the home (PHOME). Table 14.6 lists the data. i COUNTY PHOME DIST REC_DIST 1 Berkshire 77 97 0.01031 2 Franklin 81 62 0.01613 3 Hampshire 75 54 0.01852 4 Hampden Worcester 679 Middlesex Essex 8 Suffolk 9 Norfolk 10 Bristol 11 Plymouth 12 Barnstable 13 Nantucket 14 Dukes 84 4 0 4 8 2022 69 52 0.01923 64 20 0.05000 47 14 0.07143 47 10 0.10000 6 4 0.25000 49 14 0.07143 60 14 0.07143 68 16 0.06250 76 44 0.02273 25 77 0.01299 79 52 0.01923 Page 1 of 2 283 words English (United States) Accessibility: Investigate Focus Comments Editing I Share 126% PHHE 605 assignment 8 - Saved to my Mac AutoSave OFF Home Insert Draw Design Layout References Mailings Review View Tell me Page 2 of 2 283 words English (United States) Accessibility: Investigate Correlation and regression assignment (module 8) Dr. Rana Jaber Question1 (a) Construct a scatterplot of REC_DIST versus PHOME. Describe the pattern of the plot. Would correlation be appropriate here? (2 point) (b) Calculate the correlation coefficient for REC_DIST and PHOME. Report all the correlation output and explain it. (2 point) (c) Observation 13 (Nantucket) seems to be an outlier. Remove this data point from the data set and Save the new data set without the outlier to another data set call it. Recalculate the correlation coefficient. Did removing the outlier improve the fit of the linear model? (2 point) (d) This exercise plotted the reciprocal of distance to the nearest healthcare center and patient care at home. Now plot direct distance from the healthcare center (variable DIST) versus PHOME (percent cared for at home with the outlier removed). Why should we avoid calculating the correlation coefficient for the variables dist and PHOME? (2 point) www Question 2 mm a- After removing the outlier, Run the regression between Rec-dist as an explanatory variable, and PHOME as a response variable and determine the least square regression coefficients. (2 point) b- Write the equation (2 point) C- Draw the scatterplot and define the best fit line (2 point) d- What is the 95% CI for b, interpret this CI (2 point) Focus Comments Editing Share 126%