3. A school suspects that there is a relationship between the temperature and the number of students who show up for class. The following table gives five paired data points. Since it might be useful to use temperature to predict attendance, make your X-variable the temperature.(Note: The standard deviation for the number of students that attend class is 5.86 and the standard deviation of temperature is 7.44) Students 103 101 90 105 98 Temperature 37 30 17 32 27 (a) Compute the correlation between The number of students that attend lecture and the temperature.(6pts) (b) Write a linear relationship between Temperature (X) and the number of students in attendance. Y), so you're able to predict attendance as your response (Y). Interpret the slope and y-intercept in context.(Make sure you include the final equation of the regression line.)(10pts) (c) Suppose it is 50 degrees outside. How many students would you expect to attend lecture?(6pts) (d) Based on your linear model, you predict that 101 students will be in class today. What is the temperature outside?(6pts)