2 of 5 (1 complete) HY Score: 20%, 1 of 5 Score: 0 of 1 pt 14.4.25 Consider the

Question

2 of 5 (1 complete) HY Score: 20%, 1 of 5 Score: 0 of 1 pt 14.4.25 Consider the set of ordered pairs shown below. Assuming that the regression equation is y 2.050+0.650x and the SSE-5.55, Question Help construct a 90% prediction interval for x= 1. x 60 4 3 32 y 6 3 64 32 Click the icon to view a portion of the Student's t-distribution table. Calculate the upper and lower limits of the prediction interval. UPL LPL- (Round to three decimal places as needed.) Enter your answer in the edit fields and then click Check Answer. All parts showing Check Answer Clear All 746 PM 7/20/20

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 2.05 + 0.65 x
Sample size: 6
R (correlation coefficient) = 0.7768986
R-sq = 0.60357143
Estimate of error standard deviation: 1.1779219

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

90% prediction interval for x = 1:

UPL = 5.636

LPL = -0.236

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 2.05 0.925 ? 0 4 2.2162162 0.091 Slope 0.65 0.26339134 ? 0 4 2.4678108 0.0691

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