Consider the following sample data Calculate b1 and b0 What

Consider the following sample data:

Calculate b₁ and b₀. What is the sample regression equation? (Negative values should be indicated by a minus sign. Round intermediate calculations to 4 decimal places and final answers to 2 decimal places.)

Find the predicted value for y if x equals 27, 109 and 231. (Round intermediate coefficient values and final answers to 2 decimal places.)

x	27	22	25	25	24	11	14	12
y	107	137	242	86	86	10	13	29

Consider the following sample data: x 27 22 25 25 24 11 14 12 y 107 137 242 86 86 10 13 29 Click here for the Excel Data File b. Calculate b1 and b0. What is the sample regression equation? (Negative values should be indicated by a minus sign. Round intermediate calculations to 4 decimal places and final answers to 2 decimal places.) y-hat = + x c. Find the predicted value for y if x equals 27, 109 and 231. (Round intermediate coefficient values and final answers to 2 decimal places.) y-hat If x = 27 If x = 109 If x = 231

Solution

(b) y=-85.05 + 8.69*x

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(c) If x = 27, -85.05 + 8.69*27 =149.58

If x = 109, -85.05 + 8.69*109=862.16

If x = 231, -85.05 + 8.69*231=1922.34

Regression output				confidence interval
variables	coefficients	std. error	t (df=6)	p-value	95% lower	95% upper
Intercept	-85.0500	67.9861	-1.251	.2575	-251.4059	81.3059
x	8.6900	3.2504	2.674	.0369	0.7367	16.6433