Use computer software packages, such as Minitab or Excel, to solve this problem. Consider the following data for a dependent variable y and two independent variables, x1 and x2.

x1	x2	y
29	13	94
47	11	109
25	18	112
50	16	178
41	6	94
51	19	176
75	7	170
37	12	117
60	13	143
77	17	211

The estimated regression equation for this data is

= -23+ 2.01x₁ + 4.88x₂

Round your answers to two decimal places.

a. Develop a 95% confidence interval for the mean value of y when x₁ = 45 and x₂ = 15.

95% confidence interval is to .

b. Develop a 95% prediction interval for y when x₁ = 45 and x₂ = 15.

95% prediction interval is to .