Answer:
1. The slope of the least-squares regressin line is 11.364
2. The intercept of the least-squares regression line is 204.343
3. The residual corresponding to this observation is -10 calories
Step-by-step explanation:
1. In order to calculate the slope of the least-squares regressin line we would have to use the following formula:
slope of the least-squares regressin line=r*sy/sx
Therefore, slope=0.979*324.90/27.99
slope=11.364
2. In order to calculate the intercept of the least-squares regression line we would have to use the following formula:
intercept of the least-squares regression line=ybar - slope*xbar
intercept=662.88 - 11.364*40.35
intercept=204.343
3. In order to calculate the the residual corresponding to this observation we would have to use the following formula:
residual = observed y - predicted y
predicted y=11.364*x + 204.343
if the x value is 7, therefore predicted y=11.364*107 + 204.343
predicted y=1,420
Therefore, residual=1410 calories - 1420 calories
residual=-10 calories
