Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicates an increased risk of ulcers. IN a study carried out at the Colorado School of Mines, skin temperatures on both feet were measured , in degrees Fahrenheit, for 18 diabetic patients. The data are presented in the table below:
Left Foot | 80 | 85 | 75 | 88 | 89 | 87 | 78 | 88 | 89 | 76 | 89 | 87 | 78 | 80 | 87 | 86 | 76 | 88 |
Right Foot | 80 | 85 | 80 | 86 | 87 | 82 | 78 | 89 | 90 | 81 | 86 | 82 | 78 | 81 | 82 | 85 | 80 | 89 |
Calculate the correlation between the temperature measurements on both feet.
If a linear model were fit to these data, treating the right foot temperature measurement as the response variable, what would be the test statistic when testing whether or not the slope of the model is equal to zero?
If a linear regression model were fit, what is the value of the slope and the value of the y-intercept? Treat the right foot temperature measurement as the response variable.
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