The EverGlow nuclear power plant releases water into Lake Fishbegone every afternoon at
4:51 p.m. Environmental researchers are concerned that fish are being driven away from the area around the plant. They believe that the temperature of the water discharged may be a factor. The data table below gives the temperature of the water released by the plant and the measured distance (in meters) from the outflow pipe of the plant to the nearest fish found in the water on several randomly chosen afternoons. A scatterplot of the data and the least-squares regression line are given.

1. What is the slope of the least-squares regression line?

2. Predict the measured distance from the outflow pipe to the nearest fish for a water temperature of 29°C.

3. Use your prediction from part b to calculate the residual of the data point when the temperature is 29°C. Interpret the residual.

4. The standard deviation of the residuals for this model is s=12.196. Interpret this value.

5. The r2 value for this relationship is 0.946. Interpret r2.

6. Is it reasonable to use your model to predict the measured distance from the outflow pipe to the nearest fish for a water temperature of 50°C? Explain.