College professors often suggest that for every 1 hour spent in the classroom or laboratory, a student should spend 2-3 hours outside of class, writing papers, studying for exams, etc. Our C125 lab is scheduled for approximately 5 hours per week, including watching video recorded lab lectures. Suppose the following set of data was collected from a group of C125 students who had just completed the course. Average Study Time (hr). Grade Earned (points out of 100) 3.0 52 5.5 67 9.5 82 11.5 93 Enter this data in an Excel spreadsheet and prepare a plot of Study Time (hr) vs. Grade Earned (points). The independent variable (time) is plotted on the x-axis and the dependent variable (the grade) is plotted on the y-axis. Ih this example, the grade increases linearly as the amount of study time increases. The best straight line fit for this data is described by the equation y = mx + b, where "m" is the slope of the line and "b" is the y-intercept. The y-intercept is the value of y when the x- value is zero; this is the point at which the line intersects the y-axis. The function y = mx +b is QUESTIONS (Part II): Use complete sentences to answer. 1. Write down the equation derived from the linear regression analysis and indicate the value of the slope (with correct unit label) and the y-intercept (with correct unit label). Make sure you express each value with the appropriate number of significant figures. 2. a. Agrade of 86 pt earns a B+ in C125. Using the equation for the trendline, calculate the study time that might be required in order to earn 86 points out of 100 possible. Show the calculation with unit labels. b. Calculate the number of oints that might be earned if only 6.5 hours per week was spent preparing for this course. According to the syllabus, what is the letter grade for this score? Show the calculation.