Question

(1 point) For the data set (−2,−3),(1,0),(6,6),(9,6),(12,8), find interval estimates (at a 92.4% significance level) for single values and for the mean value of y corresponding to x=5.

Note: For each part below, your answer should use interval notation.

Interval Estimate for Single Value =

Interval Estimate for Mean Value =

Answer 1

The statistic software output for this problem is :

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = -0.71865443 + 0.79204893 x
Sample size: 5
R (correlation coefficient) = 0.97005786
R-sq = 0.94101226
Estimate of error standard deviation: 1.3094186

Predicted values:

X value	Pred. Y	s.e.(Pred. y)	95% C.I. for mean	95% P.I. for new
5	3.2415902	0.58603731	(1.3765579, 5.1066225)	(-1.3238802, 7.8070606)

Interval Estimate for Single Value = (-1.3238802 , 7.8070606)

Interval Estimate for Mean Value = (1.3765579 , 5.1066225)