PROJECT #3 - MATH 118

DUE TUESDAY, NOVEMBER 21^ST (AT THE BEGINNING OF CLASS)

(15 points)

Each day your project is late, you will receive 5 points off. You may turn them in early to your TA's mailbox in the math office on the 3^rd floor of SEO.

1. Your project must have a typed cover page with the following information: Name, Title of Project (you make it up), your ta's name, discussion section time, and the date the project is due.
2. Your project must be clipped together and submitted in the order listed at the bottom of these project directions.
3. This project will be done using Minitab, which is installed on the computers in all the public computer labs on campus. Here are some locations of computer labs (for more information on the hours of the labs go to: http://www.uic.edu/depts/accc/pclabs/hours) SEL 2249, SEL 2265, SEL 2054, SEL 2058, SEL 2263, CCC340, Lib 1444 (library south0, SRC 2027, BSBB001, SSB 2300, ECSW-l270.
4. You may work together, but no copying and you must do the printout of the project yourself.

MINITAB

Are hot dogs that are high in calories also high in salt? The calories and salt content (measured in milligrams of sodium) for each of 17 brands of meat hot dogs are given below

1. Give the correlation. (See minitab instruction #3)
2. Give the least-squares regression line, if we want to predict the milligrams of sodium from calories (See Minitab intsruction #4a)
3. Give the least-squares regression line, if we want to predict the number of calories from the milligrams of sodium. (See Minitab instruction #4b)
4. Make a scatterplot with the least-squares line included on graph for prediction of sodium from calories (see Minitab instruction #5a)
5. Make a scatterplot with the least-squares line included on graph for prediction of calories from sodium (see Minitab instruction # 5b)
6. Predict the number of milligrams of sodium in a hot dog if it has 150 calories (See Minitab instruction #6)

MINITAB INSTRUCTIONS

Steps:

1. Log onto computer with net I.D. Then with your mouse, click on start then programs then Minitab (probably 12 or 13 for windows) then click on Minitab again. Then a new worksheet should open up. The top half is called the session window and is where your calculations will appear and the bottom is a table called the worksheet in which you will enter your data. Click your mouse on the top of the screen in the session window and type your name and press enter.
2. Entering in data: On the bottom half of your screen you should have a table, click in the cell DIRECTLY below C1 (it may be gray), and type in the title of your x-data, Calories. Then in the cell just below C2, type in the title of your y-data, Sodium. Then use your down and left arrow key to get in the cell just below where you typed in Calories. Start entering in the data values for Calories, pressing enter after each one, so that all of your Calorie data values are in column C1.Then using your arrow keys, go just below the word Sodium and begin entering in your sodium data values. Once you have entered in all of your data values, go to step 3). (notice there should be an equal number of data values in column 1 as column 2)

3) Getting the correlation: From the drop down menu at the top of your screen click on Stat with the mouse then go down to basic statistics then over to correlation and left click your mouse. A box should pop up. Click on C1 Calories and then on Select (which is at the bottom of the box) and then click on C2 Sodium and on Select again. Then click on OK. The correlation should now appear on the top half of your screen (called the session window).

4) Getting the least-squares regression line:

1. Predicting sodium from calories: Click Stat from the drop down menu at the top of your screen, go down to regression then over to regression and click your mouse. A box should pop up. With the cursor flashing next to response, click on C2 Sodium and then on Select. With the cursor beside predictors, click on C1 Calories and click on select and then click OK. The regression analysis should appear on your screen.
2. Predicting calories from sodium: Repeat the steps from 4)a), except beside the response put C1 Calories and beside the predictor put C2 Sodium. A different regression line should appear on your screen. You may have to scroll up to see the equation because the analysis takes up more than one screen.

5) The scatterplot and regression line:

1. Predicting sodium from calories: Click on Stat from the drop down menu, go down to regression and over to Fitted Line Plot and click. A box will pop up. With your cursor beside Response Y click on C2 Sodium and click on Select. Then with your cursor beside Predictor x, click on C1 Calories and slick on Select. (notice that the circle beside linear is filled in) Then click on OK. A scatterplot with the least squares regression line should appear. Then click on File from the drop down menu at the top, go down to Print Graph, then click on OK. The graph should then print out, make sure it did and then you may close the graph window to get back to your split screen.
2. Predicting calories from sodium: Repeat the process from part 5)a) , but replace Response Y with C1 Calories and predictor x with C2 Sodium. Print this one out also and then close the graph window.

6) Using the least-squares regression line. We want to predict how many milligrams of sodium we expect in a hot dog with 150 Calories. So, click on Stat from the drop down menu go down to Regression and over to Regression and click. A box will pop up. Beside Response we want C2 Sodium then click Select and beside predictor click C1 Calories and click select. Then click on Options. Under Prediction intervals for new observations put 150 and click OK , then click on OK again. (you can leave Weights blank, only thing you need to insert is 150 ) . The Regression Analysis should appear on your screen. The number under fit is the number of mg of sodium we expect.

1. Now it is time to print. With your cursor flashing somewhere on the top half of your screen click on File from the drop down menu at the top of your screen., go down to Print Session Window and then click on OK. Then click so that your cursor is somewhere in the table at the bottom of your screen and then click on File again and go down to Print Worksheet and on OK and OK again.
2. Once you have your project in hand, with a pencil or pen put a circle around the number of sodium mg that was predicted for a hot dog with 150 calories that Minitab gave you. Put a rectangle around the equation of the least squares-regression line for predicting sodium from calories (this is given under regression analysis and may appear more than one time in your project. You only need to put a rectangle around one equation, namely the first time it appears in your printout). Put a triangle around the value Minitab gave you for correlation (This is listed at the beginning of your printout).

PLEASE SUBMIT YOUR PROJECT IN THE FOLLOWING ORDER OR YOU WILL RECEIVE POINTS OFF:

1. Your cover page (see instructions above for what needs to be on your title page)
2. The page(s) giving the correlation and the equations for the least squares regression lines
3. The scatterplot where calories is the predictor and sodium is the response variable
4. The scatterplot where sodium is the predictor and calories is the response variable
5. Your worksheet with the two columns of data (calories and sodium)