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Everything is correct accept the last 2 blanks because I do not know how to get

ID: 3310886 • Letter: E

Question

Everything is correct accept the last 2 blanks because I do not know how to get the interval. Please help.

(3 points) The amounts of 6 restaurant bills and the corresponding amounts of the tips are given in the below. Bill 97.34 64.30 52.44 32.98 106.27 49.72 Tip16.00 7.707.00 4.5016.00 5.28 Use a 0.05 confidence level to find the following (Note that if you round at each step, your final prediction interval will be incorrect. Wait and round at the end.): The linear correlation coefficient .979541 The test statistic for : t = 9.735005 The critical value to- 2.77644 Is there a significant correlation? OA. Yes B. No The regression equation is y - -2.54910417807 If the amount of the bill is $40, the best prediction for the amount of the tip is and a prediction interval estimate of the amount amount of the tip is 4.5736 tip

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Tip
Independent Variable: Bill
Tip = -2.5491048 + 0.17807872 Bill
Sample size: 6
R (correlation coefficient) = 0.97954173
R-sq = 0.95950201
Estimate of error standard deviation: 1.1766728

Parameter estimates:


Analysis of variance table for regression model:


Predicted values:

Hence,

The required prediction interval will be:

0.785 < Tip < 8.363

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -2.5491048 1.3193655 0 4 -1.9320687 0.1255 Slope 0.17807872 0.018292617 0 4 9.7350053 0.0006
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