Cost-to-charge ratios (the percentage of the amount billed that represents the actual cost) for 11 Oregon hospitals of similar size were reported separately for inpatient and outpatient services. The data are shown in the following table. Cost-to-charge ratio Hospital Inpatient Outpatient Blue Mountain 79 61 Curry General 75 67 Good Shepherd 74 64 Grande Ronde 61 50 Harney District 101 53 Lake District 99 74 Pioneer 89 66 St. Anthony 65 57 St. Elizabeth 49 44 Tillamook 53 47 Wallowa Memorial 84 72 (a) Does there appear to be a strong linear relationship between the cost-to-charge ratio for inpatient and outpatient services? Justify your answer based on the value of the correlation coefficient and examination of a scatterplot of the data. (Round your answer to four decimal places.) Based on the correlation coefficient value of and the scatterplot, there is relationship between the cost-to-charge ratio for inpatient and outpatient services. Looking at a scatterplot, there . (b) Are any unusual features of the data evident in the scatterplot? No. There is a moderate linear relationship between inpatient and outpatient cost-to-charge ratios and all the points follow that trend.Yes. There are one or more outliers present which alter how well a linear relationship describes the relationship between inpatient and outpatient cost-to-charge ratios. Yes. There is no noticeable relationship between inpatient and outpatient cost-to-charge ratios and the points are randomly scattered throughout the graph.Yes. There is a noticeable nonlinear relationship between inpatient and outpatient cost-to-charge ratios with the graph suggesting a reciprocal transformation might be appropriate.Yes. There is a noticeable nonlinear relationship between inpatient and outpatient cost-to-charge ratios with the graph suggesting a square root transformation might be appropriate. (c) Suppose that the observation for Harney District was removed from the data set. Would the correlation coefficient for the new data set be greater than or less than the one computed in part (a)? Explain. This point is an outlier and if it were removed, the linear relationship would be stronger, and the value of r would therefore be greater.This point is not an outlier and if it were removed, the nonlinear relationship would be relatively unchanged and the value of r would therefore be approximately the same. This point is an outlier and if it were removed, the nonlinear relationship would be stronger, and the value of r would therefore be greater.This point is an outlier and if it were removed, the linear relationship would be weaker, and the value of r would therefore be smaller.This point is not an outlier and if it were removed, the linear relationship would be relatively unchanged and the value of r would therefore be approximately the same.

Cost-to-charge ratios (the percentage of the amount billed that represents the actual cost) for 11 Oregon hospitals of similar size were reported separately for inpatient and outpatient services. The data are shown in the following table. Cost-to-charge ratio Hospital Inpatient Outpatient Blue Mountain 79 61 Curry General 75 67 Good Shepherd 74 64 Grande Ronde 61 50 Harney District 101 53 Lake District 99 74 Pioneer 89 66 St. Anthony 65 57 St. Elizabeth 49 44 Tillamook 53 47 Wallowa Memorial 84 72 (a) Does there appear to be a strong linear relationship between the cost-to-charge ratio for inpatient and outpatient services? Justify your answer based on the value of the correlation coefficient and examination of a scatterplot of the data. (Round your answer to four decimal places.) Based on the correlation coefficient value of and the scatterplot, there is relationship between the cost-to-charge ratio for inpatient and outpatient services. Looking at a scatterplot, there . (b) Are any unusual features of the data evident in the scatterplot? No. There is a moderate linear relationship between inpatient and outpatient cost-to-charge ratios and all the points follow that trend.Yes. There are one or more outliers present which alter how well a linear relationship describes the relationship between inpatient and outpatient cost-to-charge ratios. Yes. There is no noticeable relationship between inpatient and outpatient cost-to-charge ratios and the points are randomly scattered throughout the graph.Yes. There is a noticeable nonlinear relationship between inpatient and outpatient cost-to-charge ratios with the graph suggesting a reciprocal transformation might be appropriate.Yes. There is a noticeable nonlinear relationship between inpatient and outpatient cost-to-charge ratios with the graph suggesting a square root transformation might be appropriate. (c) Suppose that the observation for Harney District was removed from the data set. Would the correlation coefficient for the new data set be greater than or less than the one computed in part (a)? Explain. This point is an outlier and if it were removed, the linear relationship would be stronger, and the value of r would therefore be greater.This point is not an outlier and if it were removed, the nonlinear relationship would be relatively unchanged and the value of r would therefore be approximately the same. This point is an outlier and if it were removed, the nonlinear relationship would be stronger, and the value of r would therefore be greater.This point is an outlier and if it were removed, the linear relationship would be weaker, and the value of r would therefore be smaller.This point is not an outlier and if it were removed, the linear relationship would be relatively unchanged and the value of r would therefore be approximately the same.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

	Cost-to-charge ratio
Hospital	Inpatient	Outpatient
Blue Mountain	79	61
Curry General	75	67
Good Shepherd	74	64
Grande Ronde	61	50
Harney District	101	53
Lake District	99	74
Pioneer	89	66
St. Anthony	65	57
St. Elizabeth	49	44
Tillamook	53	47
Wallowa Memorial	84	72

(a)

Does there appear to be a strong linear relationship between the cost-to-charge ratio for inpatient and outpatient services? Justify your answer based on the value of the correlation coefficient and examination of a scatterplot of the data. (Round your answer to four decimal places.)

Based on the correlation coefficient value of and the scatterplot, there is relationship between the cost-to-charge ratio for inpatient and outpatient services. Looking at a scatterplot, there .

(b)

Are any unusual features of the data evident in the scatterplot?

No. There is a moderate linear relationship between inpatient and outpatient cost-to-charge ratios and all the points follow that trend.Yes. There are one or more outliers present which alter how well a linear relationship describes the relationship between inpatient and outpatient cost-to-charge ratios. Yes. There is no noticeable relationship between inpatient and outpatient cost-to-charge ratios and the points are randomly scattered throughout the graph.Yes. There is a noticeable nonlinear relationship between inpatient and outpatient cost-to-charge ratios with the graph suggesting a reciprocal transformation might be appropriate.Yes. There is a noticeable nonlinear relationship between inpatient and outpatient cost-to-charge ratios with the graph suggesting a square root transformation might be appropriate.

(c)

Suppose that the observation for Harney District was removed from the data set. Would the correlation coefficient for the new data set be greater than or less than the one computed in part (a)? Explain.

This point is an outlier and if it were removed, the linear relationship would be stronger, and the value of r would therefore be greater.This point is not an outlier and if it were removed, the nonlinear relationship would be relatively unchanged and the value of r would therefore be approximately the same. This point is an outlier and if it were removed, the nonlinear relationship would be stronger, and the value of r would therefore be greater.This point is an outlier and if it were removed, the linear relationship would be weaker, and the value of r would therefore be smaller.This point is not an outlier and if it were removed, the linear relationship would be relatively unchanged and the value of r would therefore be approximately the same.

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