1)testing for the statistical significance of the relationship between the depen

Question

1)testing for the statistical significance of the relationship between the dependent and independent variable in small samples

a)does not depend on sample size

b)is accomplished by application of the t distribution

c)is accomplished by testing the null hypothesis

d)is accomplished by application of the normal distribution

e)depends on the size of the intercept term

2)x-y data have been collected in which c ranges between 50 and 100 and Y ranges between 1200 and 2000. it is not wise to use the resulting regression line equation to predict y when x is equal to -10 because

a)a negative number cannot be used

b)the predicted value for y might turn out to be negative

c)the y intercept might be above zero

d)the proposed x value is well beyond the range of observed data

e)all the above

Explanation / Answer

1 ) Given that , we want to test  for the statistical significance of the relationship between the dependent and independent variable in small samples.

The Pearsons corelation test is used to check the  statistical significance of the relationship between the dependent and independent variable in small samples

In this case the test statistic is based on t distribution

option b)is accomplished by application of the t distribution  is correct

Q 2 )Given that  x-y data have been collected in which c ranges between 50 and 100 and

Y ranges between 1200 and 2000.

Generally by using least square regression line we predict value of responce variable by using given value of Independent variable

it is not wise to use the resulting regression line equation to predict y when x is equal to -10 because

Option d)the proposed x value is well beyond the range of observed data is correct

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