MAT 171 Lab #1 Unit 1 and 2 Holleman Name: Class and Section #: YOU MUST SHOW ALL ALEBRAIC WORK, PROVIDE CLEAR EXPLANATIONS AND USE COMPLETE SENTENCES WHERE APPROPRIATE AND ROUND ALL ANSWERS TO THE NEAREST 100 WHEN NECESSARY. The following compares the number of hours a student studies for a particular test and the score on that test. 1. Use the table to the right and draw a scatter plot for the data. Scale your aces appropriately and label the axes and your points as needed. Hours, x Test Grade, y 4 59 10 93 6 55 0 45 8 98 9 81 8 82 13 100 67 15 99 2. Translate the 1st line of data from the table above into a complete sentence. 3 . Is there a piece of data that doesn't seem to fit? If so, which one? Tell me WHY do you think so? 4. Looking only at the scatterplot, do you think a linear function would be a good choice to model the data? WHY do you think this?MAT 171 Lab #1 Unit 1 and 2 Holleman Name: Class and Section #: YOU MUST SHOW ALL ALEBRAIC WORK, PROVIDE CLEAR EXPLANATIONS AND USE COMPLETE SENTENCES WHERE APPROPRIATE AND ROUND ALL ANSWERS TO THE NEAREST 100 WHEN NECESSARY. 5. Use a graphing calculator to develop a linear function to model the date. Write the linear function here. 6. Sketch the line of best fit on your graph. Take care to draw the line accurately (use a ruler). If it helps, look at the graph of the line on your calculator and the table of values. 7. What is the slope of the function? Translate what this slope means in the context of the data. 8. What is the y-intercept (as an ordered pair)? Write a sentence to describe what the y-intercept of the function (not the scatterplot) represents. 9 . Does the y-intercept from the function match the initial value (0,45) form the data on the scatterplot? Explain why or why not. 10. What is the correlation coefficient of the function from your calculator? Considering only the correlation coefficient, how confident are you about using the regression function to predict other data? EXPLAIN your logic. 11. Use the function to predict your grade if you study for 8 hours. Show your work and state the units. Is this number the same as the data from the table? WHY or WHY NOT? 12. If you studied for 15,20 or 30 hours what would be your testing results? Does this make sense? And finally, What can you say to sum up the amount of time spent studying compared to your test grade