Question

The table below gives the number of hours spent unsupervised each day as we'll as the overall grade averages for seven randomly selected middle school students. uising this data. consider the equation of the regression line. by by, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind he correlation coefficient may or may not be statistica y s rificant for the data ven. Remember, in practice.?uld not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Unsupervised0.5 35 4 5 55 Overall Grades 95 92 85 83 81 73 63 Table Copy Data Step 4 of &: Find the estimated value of y when x1. Round your answer to three decimal places Tables Keypad Answer How to enter your answer Prevous step anwwers

Answer 1

X = 1/n sigma X = 2.786 Y = 1/n sigma Y = 81.71 b = sigma(x - X)(y - Y)/sigma(x - X)^2 = 4.4836 a = Y - bX = 94.2042 The regression line is, y^cap = a + bx = 94.2042 - 4.4836x When x = 1, y = 92.2042 - (4.4836 times 1) = 89.721