Determine the residuals for each of the 12 data points in the analysis (removing

Question

Determine the residuals for each of the 12 data points in the analysis (removing the last outlier gives us 12 points). Plot these residuals as a stemplot (include in your attached work). Were there any extreme departures from Normality?

Bicycle helmet use. The following table lists data from a cross-sectional survey of bicycle safety. The explanatory variable is a measure of neighborhood socioeconomic status(variable P_RFM). The response variable is "percent of bicycle riders wearing a helmet" (P HELM) Percent of school children receiving free or reduced-fee lunches at school((variable P_RFM) and percent of bicycle riders wearing a helmet (P_HELM). Data for this study was recorded by field observers in October of 1994 P RFM P HELM i School 1 Fair Oaks 50 22.1 2 Strandwood 11 35.9 3 Walnut Acres 2 4 Discov, Bay 19 22.2 5 Belshaw 6 Kennedy 73 5.8 7 Cassell 8 Miner 9 Sedgewick 11 55.2 10 Sakamoto 2 11 Toyon 12 Lietz 13 Los Arboles 84 57.9 26 42.4 81 3.6 51 21.4 33.3 19 32.4 25 38.4 46.6

Explanation / Answer

following information has been generated for regression analysis y=a+bx=47.4904-0.5386x

the residual are as

stemplot for residual is given as below

The decimal point is 1 digit(s) to the right of the |

-1 | 53
-0 | 6520
0 | 1249
1 | 14

SUMMARY OUTPUT

RESIDUAL OUTPUT Observation x y Predicted Y Residuals 1 50 22.1 20.56 1.54 2 11 35.9 41.57 -5.67 3 2 57.9 46.41 11.49 4 19 22.2 37.26 -15.06 5 26 42.4 33.49 8.91 6 73 5.8 8.17 -2.37 7 81 3.6 3.86 -0.26 8 51 21.4 20.02 1.38 9 11 55.2 41.57 13.63 10 2 33.3 46.41 -13.11 11 19 32.4 37.26 -4.86 12 25 38.4 34.03 4.37

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