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
Midterm Grades	63	65	67	88	9

Step 1 of 5: Calculate the sum of squared errors (SSE). Use the values b0=53.9167 and b1=9.5833 for the calculations. Round your answer to three decimal places.

Step 2 of 5: Calculate the estimated variance of errors, . Round your answer to three decimal places.

Step 3 of 5: Calculate the estimated variance of slope, . Round your answer to three decimal places.

Step 4 of 5: Construct the 80% confidence interval for the slope. Round your answers to three decimal places.

Step 5 of 5: Construct the 90%confidence interval for the slope. Round your answers to three decimal places.

Answer 1

Step 1) From the given data

	X	Y	X^2	Y^2	XY
	1	63	1	3969	63
	2	65	4	4225	130
	2	67	4	4489	134
	2	88	4	7744	176
	4	92	16	8464	368
Total:	11	375	29	28891	871

and we predict the value y (i.e.y-hat) from the regression equation

X	Y	Ycap/fit	(Y-Ycap)^2	(Y-Ybar)^2	(Ycap-Ybar)^2
1	63	63.5	0.25	144	132.25
2	65	73.0833	65.3403	100	3.67361
2	67	73.0833	37.0069	64	3.67361
2	88	73.0833	222.5069	169	3.67361
4	92	92.2500	0.0625	289	297.56250
11	375		325.1667	766	440.83333

From the above table, SSE = 325.1667

Step 2: