A collection of paired data consists of the number of years that students have studied Spanish and their scores on a Spanish language proficiency test. A computer program was used to obtain the least squares linear regression line and the computer output is shown below. Along with the paired sample data, the program was also given an x value of 2 (years of study) to be used for predicting te For a person who studies for 2 years, obtain the 95% prediction interval and write a statement interpreting the interval.     (42.72, 63.98); We can be 95% confident that the test score of an individual who studies 2 years will lie in the interval (42.72, 63.98)     (31.61, 75.09); We can be 95% confident that the test score of an individual who studies 2 years will lie in the interval (31.61, 75.09)     (42.72, 63.98); We can be 95% confident that the mean test score of all individuals who study 2 years will lie in the interval (42.72, 63.98)     (31.61, 75.09); We can be 95% confident that the mean test score of all individuals who study 2 years will lie in the interval (31.61, 75.09)

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A collection of paired data consists of the number of years that students have studied Spanish and their scores on a Spanish language proficiency test. A computer program was used to obtain the least squares linear regression line and the computer output is shown below. Along with the paired sample data, the program was also given an x value of 2 (years of study) to be used for predicting te

For a person who studies for 2 years, obtain the 95% prediction interval and write a statement interpreting the interval.

   

(42.72, 63.98); We can be 95% confident that the test score of an individual who studies 2 years will lie in the interval (42.72, 63.98)

   

(31.61, 75.09); We can be 95% confident that the test score of an individual who studies 2 years will lie in the interval (31.61, 75.09)

   

(42.72, 63.98); We can be 95% confident that the mean test score of all individuals who study 2 years will lie in the interval (42.72, 63.98)

   

(31.61, 75.09); We can be 95% confident that the mean test score of all individuals who study 2 years will lie in the interval (31.61, 75.09)

 
 
The regression equation is
Score = 31.55 +10.90 Years.
Predictor Coef StD ev T P
Constant 31.55 6.360 4.96 0.000
Years 10.90 1.744 6.25 0.000
S = 5.651
Fit
53.3 5
R-Sq=83.0% R-Sq (Adj) = 82.7%
Predicted values
StDev Fit 95.0% CI
3.168
(42.72, 63.98)
95.0% PI
(31.61, 75.09)
Transcribed Image Text:The regression equation is Score = 31.55 +10.90 Years. Predictor Coef StD ev T P Constant 31.55 6.360 4.96 0.000 Years 10.90 1.744 6.25 0.000 S = 5.651 Fit 53.3 5 R-Sq=83.0% R-Sq (Adj) = 82.7% Predicted values StDev Fit 95.0% CI 3.168 (42.72, 63.98) 95.0% PI (31.61, 75.09)
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