Include Scatter Plot and Regression Line at the end of each question. 1l The Bradford Electric llluminating Company is studying the relationship between kilowatt hours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10 families yielded the following: Number of Rooms Number of Rooms | 1 | 9 | 8 | 6 | Determine the Correlation Coefficient. . Determine the Coefficient of Determination Determine the Regression Equation. Yhat = . Determine the number of kilowatt-hours, in thousands, for an eleven-room house. Mr. James McWhinney, present of the Daniel-James Financial Services, believes there is a relationship between the number of clients contacts and the dollar amount dollar of sales. To document this assertion, Mr. McWhinney gathers the following information. The x column documents the number of client contacts last month and the y column contains the value of the sales ($ thousands) for each client sampled. Number of Contacts | Sales (S thousands) | Number of Contacts | Sales (S thousands) (XJ (v) (XJ (v) -_-_ Determine the Correlation Coefficient. . Determine the Coefficient of Determination Determine the Regression Equation. . Determine the estimate of sales if 40 clients are contacted. Complete Table and include scatter plots of the: Data points and the regression line (Recommend using Statkey) Residuals (Recommend using Excel) Provide graphs at the end of this attachment. Does the scatter plot support random residuals? Residual Table (Suggest using Excel for prediction and residual numerical calculations) Number of Contacts | Sales ($ thousands) Predicted Residuals (x) \\) )] (predicted actual) | 14 ] 0 24 L ] T R T L 1] 20 | 28 L ] | 1 | 30 L ] 023 | 30 L ] | so | 8 L ] | s | 120 L ] 0 [ ] 24 i 28 30 30 R w0 10 (=194 1K Exc 9.3.3 Pg 364 A question of interest is how well one can predict and estimate the QTc value from a knowledge of the methadone dose. QTc is the variable about which we wish to make predictions and estimations. It is the dependent variable. The variable methadone dose is the knowledge of which we will use to make the predictions and estimations. It is the independent variable. a. Determine the Correlation Coefficient. b The Coefficient of Determination The Regression Equation. d QTc estimated value for a Methadone dose of 1000 (mg/day) e Residual Error for a Methadone dose of 1000 (mg/day)? 9.3.3 Methadone is often prescribed in the treatment of opioid addiction and chronic pain. Krantz et al. (A-2) studied the relationship between dose of methadone and the corrected QT (QTc) interval for 17 subjects who developed torsade de pointes (ventricular tachycardia nearly always due to medications). QTc is calculated from an electrocardiogram and is measured in mm/sec. A higher QTc value indicates a higher risk of cardiovascular mortality. A question of interest is how well one can predict and estimate the QTc value from a knowledge of methadone dose. This question is typical of those that can be answered by means of regression analysis. Since QTc is the variable about which we wish to make predictions and estimations, it is the dependent variable. The variable methadone dose, knowledge of which will be used to make the predictions and estimations, is the independent variable. Methadone Dose (mg/day) QTc (mm/sec) Methadone Dose (mg/day) QTc (mm/sec) 1000 600 650 785 550 625 600 765 97 560 660 611 90 585 270 600 85 590 680 625 126 500 540 650 300 700 600 635 110 570 330 522 65 540 Source: Mori J. Krantz, Ilana B. Kutinsky, Alastair D. Roberston, and Philip S. Mehler, "Dose-Related Effects of Methadone on QT Prolongation in a Series of Patients with Torsade de Pointes," Pharmacotherapy, 23 (2003), 802-805