In: Advanced Math
The dataset in the file Lab11data.xlsx contains data on Crimini mushrooms. The factor variable is the weight of the mushroom in grams and the response variable is the total copper content in mg. 1. Plot Copper vs. Weight and describe. 2. Find least squares regression line and interpret slope in the words of the problem. 3. Find the coefficient of determination (R2) and interpret in context. 4. Find the correlation coefficient (R) and interpret in context. 5. Find and interpret a 95% Confidence Interval for the true slope. 6. Find the predicted values for Weights of 12.1, 15.8, 19.7. 7. Find the residuals values for Weights of 12.1, 15.8, 19.7. 8. Graph the standardized residuals vs. predicted values (x-axis). Describe and comment. 9. Graph the predicted values vs. the actual accuracy values (x-axis). Describe and comment.
Weight (g) |
Copper (mg) |
15.8 |
1.0 |
19.7 |
1.8 |
16.3 |
2.0 |
16.3 |
1.1 |
16.0 |
1.0 |
14.2 |
0.6 |
19.4 |
1.5 |
12.7 |
0.7 |
18.0 |
1.5 |
12.6 |
0.8 |
16.6 |
0.8 |
13.5 |
1.0 |
13.0 |
1.1 |
15.5 |
1.0 |
17.0 |
1.0 |
17.3 |
1.2 |
17.5 |
1.4 |
12.1 |
0.5 |
13.3 |
0.9 |
14.5 |
1.3 |
16.0 |
1.5 |
15.0 |
1.1 |
16.6 |
1.6 |
15.4 |
1.5 |
19.1 |
1.8 |
19.4 |
2.2 |
19.3 |
2.3 |
15.1 |
1.4 |
15.3 |
1.3 |
17.3 |
1.3 |