<p> STT 231 Extra Credit (5 Points) Due Date: Monday April 18, 2016 in Class Submission after class on April 18 will not be accepted. </p><p>How well can hand-size predict height? </p><p>NAME: ______PID______</p><p>NAME: ______PID______</p><p>NAME: ______PID______</p><p>NAME: ______PID______</p><p>Instruction: Your answers to all questions must be typed. Copy/paste graphs next to each question in the space provided. Hand drawn graphs or hand written answers are not acceptable. Staple all your papers before submitting. </p><p>Recall the hand-length, hand width and height activity. You measured and recorded your hand length, hand width and height. The collected data is included here. </p><p>Note: Before you start your project, think about issues related to gender and measurement units. Not addressing these will have significant impact on your analysis Attached a revised data set with your project. Without such data set, your project will not be valid. </p><p>1. Draw a histogram for the height. Attach a computer print out with your homework. Clearly label it as “Height Histogram”. </p><p>[If you use Minitab: Go to Graph, choose Histogram), choose Simple, Select variable, Height. OK.]</p><p>Comment on the distribution shape of height: </p><p>______</p><p>2. Obtain the summary statistics for Hand Length, Hand Width and Height. [Go to stat, Basic Statistics, Display Descriptive Statistics, Select variables (usually continuous data), OK.] Variables N Average Median Range Variance Standard Deviation Hand Length Hand Width Height 1 3. Draw a side-by-side scatterplot between Height (Y) Vs. Hand Width (X), and Height Vs. Hand Length. Attach computer print out. [Graph, Scatterplot, Simple, OK, Enter Height for Y, Hand_Width for X, In the second row, enter Height for Y and Hand_Length for X. Multiple Graph, select ‘In separate Panels of the same graph, OK]</p><p>4. (a) Based on the scatter plot in (3), comment on the relationship between Height and Hand Width (highly positive, moderate positive, little correlation, moderate negative, etc.) ______</p><p>(b) Based on the two scatterplots, do you think the correlation of Height Vs. Hand Width is higher than the correlation of Height Vs. Hand Length? ______</p><p>Why? ______</p><p>(c) Compute the correlation coefficient Between Height Vs. Hand Width: ______</p><p>(d) Compute the correlation coefficient Between Height Vs. Hand Length: ______[Minitab Command: Stat, Basic Statistics, choose Correlation, select variables Height, Hand_width, Hand_Length, OK.]</p><p>(e) Based on the two scatterplots, do you think the correlation of Height Vs. Hand Width is higher than the correlation of Height Vs. Hand Length? ______</p><p>Why? ______</p><p>2 5. Fit a regression line to predict Height using Hand Width, and report the following results: [Stat, Regression, choose ‘Fitted Line Plot’, Response (Y): Height Predictor (X): Hand_width, Click on ‘Graph’ choose ‘Four in One’. Click OK. Click on ‘Storage’, select ‘Residual’, OK, OK]</p><p>(a) Regression Line: ______(b) Copy and paste the scatter plot with the fitted line:</p><p>(c) Predict an individual’s height if hand width is 8.5’’: ______</p><p>(d) Can you predict an individual’s height if his hand width is 20”? Why?</p><p>(f) Suppose an individual has height 72” and hand width 9.0”. </p><p>Using the model to predict his height: ______, what is the corresponding residual : ______</p><p>3</p>