Question

Data on pollution and cost of medical care for elderly people are shown here. The following data give a measure of pollution (micrograms of particulate matter per cubic meter of air) and the cost of medical care per person over age 65 for six geographic regions of the United States Cost of Medical Region North Upper South 31.8 Deep South 32.1 West South Big Sky West Pollution Care 924 900 977 981 961 908 30.0 26.8 30.4 40.0 The equation of the least-squares regression line for this data set is y-1091.244-4.691 x, where γ-medical cost and x-pollution. (a) Compute the six residuals. (Round your answers to two decimal places.) residuals 30.00 924.00 31.80 900.00 32.10 977.00 26.80 981.00 0.40 961.00 40.00 908.00 (b) What is the value of the correlation coefficient for this data set? (Round your answer to three decimal places.) Does the value of r indicate that the linear relationship between pollution and medical cost is strong, moderate, or weak? Moderately strong positive Moderately strong negative Strong positive Strong negative Weak

Answer 1

Y(hat)Residulas 30 31.8 32.1 26.8 30.4 40 0.58129 924 950.514 900 942.0702 977 940.6629 981 965.5252 961 948.6376 908 903.604 26.514 -42.0702 36.3371 15.4748 12.3624 4.396 CORRELATION

Y(hat)	Residual
950.51	-26.51
942.07	-42.07
940.66	36.34
965.53	15.47
948.64	12.36
903.60	4.40

r= -0.581

moderately negative.