Question

The following data give the number of hours 5 students spent studying and their corresponding grades on their midterm exams. Hours Studying 1 2 2 2 4 2 65 Midterm Grades 63 67 88 92 Table Copy Data 53.9167 and bi = 9.5833 for the calculations. Round your Step 1 of 5: Calculate the sum of squared errors (SSE). Use the values bo answer to three decimal places.

Step 1 of 7 :  

Calculate the sum of squared errors (SSE). Use the values above. Round your answer to three decimal places.

Step 2 of 7 :  

Calculate the estimated variance of errors, s2e. Round your answer to three decimal places.

Step 3 of 7 :  

Calculate the estimated variance of slope, s2b1. Round your answer to three decimal places.

Step 4 of 7 :  

Construct the 98% confidence interval for the slope. Round your answers to three decimal places.

Lower and upper end point:

Step 5 of 7 :  

Construct the 95% confidence interval for the slope. Round your answers to three decimal places.

Step 6 of 7 :  

Construct the 80% confidence interval for the slope. Round your answers to three decimal places.

Step 7 of 7 :  

Construct the 99% confidence interval for the slope. Round your answers to three deci

Answer 1

2 & bo. bo = ý - bi = 75 - ( 9.5833 ) (2.2) = 75 2). 08326 = 53.9164 bo= 53. 9167 The Beguession bot bi X 53.9167 + 9.5833 X eqa is, rt find, Calculate eroors (SSE Sum of squared Ź (4-982 SSE 121 = 325. 1666 425. SSE 825. 167 Calculate the estimated variance of errors > Sp2 - MSE SSE 0-2 325: 16+ 5-2 325.16 3 = 108.3888 See = 108.389 Calculate the estimated variance of slope, So. 56 Se 2 SSzo 11 108.389 4.8 22.581 S Ans. = bi

of 9.5833 + 1.6877 ( 4.7519) 9.5833 + 7. 782 2) 9.5833 - 7.7822 , 9.5883 + 7+822) 寸 Y 2 1.8011 17.3655 (1.801, 17.366) The 801. C.I is, 1.801 117.366 ) Here, construct the gg.). confidence interval for the Slope ( bi bi t tema) 42. Se abi) toi, 3 = 5.8409 = ( 9.5833 + (5.8409 ) ( 4.7519)) 27.7554 7554) (9.5833 - 27.7554, 9.5833 +27.7554) = (-19:1721, 31-3387 (-18.172 V 9.5833 + 9 37. 339) I The gg.). C.I is 4os 37.339 ( 1-18.172