Question

The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line.ỹ = bo + bx for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant Hours Unsupervised 0 3 4 4.5 5 5.5 Overall Grades 83 78 70 64 63 6 69 67 Table Copy Data < Step 1 of 6: Find the estimated slope. Round your answer to three decimal places. Prev AnswerHow to Enter) 2 Points HD Tables Keypad Keyboard Shortcuts © 2020 Hawkes Learning

Answer 1

S.No (y-7) 1 3 NA 3 4 5 6 7 Total 0 3 4 4.5 5 5.5 6 28 Y 83 78 70 69 67 64 63 494 70.5714 (x-) 16.0000 1.0000 0.0000 0.2500 1.0000 2.2500 4.0000 24.5000 SSX 154.47 55.18 0.33 2.47 12.76 43.18 57.33 325.7143 (x-x)(y-7) -49.7143 -7.4286 0.0000 -0.7857 -3.5714 -9.8571 - 15.1429 -86.5000 Mean 4.000 SSY SXY sample size : 7 X = 4.0000 24.500 y = 70.5714 S. 2(X-X)2= Sw (X-7)(y-7)= slope= Ê. S./S.- intercept ß. - V-B,x= -86.500 -3.5306 Cov 84.6939

step 1 :slope = -3.531

step 2 :y intercept =84.694

step 3: change =b1= -3.531

step 4: False

step 5: 84.694

step 6:

Coefficient of determination R2=SSR/SST=0.938