Solved

A Collection of Paired Data Consists of the Number of Years

Question 68

Multiple Choice

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 test score. The regression equation is
 Score =31.55+10.90 Years. \text { Score }=31.55+10.90 \text { Years. }
 Predictor  Coef  StDev  T  P  Constant 31.556.3604.960.000 Years 10.901.7446.250.000\begin{array}{lclcc}\text { Predictor } & \text { Coef } & \text { StDev } & \text { T } & \text { P } \\\text { Constant } & 31.55 & 6.360 & 4.96 & 0.000 \\\text { Years } & 10.90 & 1.744 & 6.25 & 0.000\end{array}
S=5.651RSq=83.0%RSq( Adj ) =82.7%\mathrm{S}=5.651 \quad \mathrm{R}-\mathrm{Sq}=83.0 \% \quad \mathrm{R}-\mathrm{Sq}(\text { Adj }) =82.7 \%
Predicted values
 Fit  StDev Fit 95.0% CI 95.0% PI 53.353.168(42.72,63.98) (31.61,75.09) \begin{array}{llcc}\text { Fit } & \text { StDev Fit } & 95.0 \% \text { CI } & 95.0 \% \text { PI } \\ 53.35 & 3.168 & (42.72,63.98) & (31.61,75.09) \end{array}
Use the information in the display to find the value of the linear correlation coefficient r. Determine whether the significant linear correlation between years of study and test scores. Use a significance level of 0.050.05 . There are 16 data.


A) r=0.91r = 0.91 ; There is significant linear correlation.
B) r=0.83\mathrm { r } = 0.83 ; There is no significant linear correlation.
C) r=0.91\mathrm { r } = 0.91 ; There is no significant linear correlation
D) r=0.83r = 0.83 ; There is significant linear correlation.

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents