14. (16 Pts) Applicants for a particular job, which involves exten countries, mu

Question

14. (16 Pts) Applicants for a particular job, which involves exten countries, must take a proficiency test in Spanish. Data were obtained in a study of the sive travel in Spanish speaking relationship between the number of years applicants have studied Spanish : Years studied) and their score on the test (y: Test Score). Answer the following questions using the information from StatCrunch output shown on the next page. It is known that a linear regression model is appropriate for the data. a) Which variable is the independent or predictor variable and which is the dependent or response variable? b) Determine the regression equation. c) What % of the variation in y is explained by the regression equation? what % is unexplained What is the predicted test score for 4 years of studying Spanish? Is this interpolation or extrapolation.? d)

Explanation / Answer

Ans:

a)Years(x) is perdictor or independnet variable.

(we are using years to perdict the score,y)

Score(y) is response or dependent variable.

b)Regression equation

slope=10.904762

y-intercept=31.5333

y'=a+bx

y'=score=31.5333+10.904762*years

c)

cofficient of determination R^2=SSR/SST=1248.5952/1504.1=0.8301

1-R^2=0.1699

Explained variation=83.01%

Unexplained varation=16.99%

d)when x=4

score=31.5333+10.904762*4=75.152348

As,above value lies within PI ,so not extrapolation.

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