- State t-test and its applications for small samples.
- A computer while calculating correlation coefficient between two variables X and Y from 25 pairs of observations obtained the following results : n=25, ∑ X= 125, ∑ X^2=650, ∑ Y=100, ∑ Y^2= 460, ∑ XY =508. If was, however, later discovered at the time of checking that he had copied down two pairs as (X,Y)= (6,14),(8,6) while the correct values were (X,Y)=(8,12),(6,8).
Obtain the correct value of correlation co-efficient.

- Fit the Exponential Curve y= a e^(bx) for the data x: 1, 2, 3, 4, 5 and y : 1.5, 4.5, 6, 8.5, 11 .
- If the regression coefficient are 0.8 and 0.2 , what would be the value of coefficient of correlation?

# State t-test and its applications for small samples. A computer …

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Q1.State t-test and its applications for small samples.Answer:Follow the below link for answer:Q2.A computer while calculating correlation coefficient between two variables X and Y from 25 pairs of observations obtained the following results : n=25, ∑ X= 125, ∑ X^2=650, ∑ Y=100, ∑ Y^2= 460, ∑ XY =508. If was, however, later discovered at the time of checking that he had copied down two pairs as (X,Y)= (6,14),(8,6) while the correct values were (X,Y)=(8,12),(6,8).Obtain the correct value of correlation co-efficient.Answer:Follow the below link for answer:Q3.Fit the Exponential Curve y= a e^(bx) for the data x: 1, 2, 3, 4, 5 and y : 1.5, 4.5, 6, 8.5, 11 .Answer:Click here to get answer —->exp curve fittingQ4.If the regression coefficient are 0.8 and 0.2 , what would be the value of coefficient of correlation?Answer:Let rx=0.8, ry=0.2

Coeff. of correlation=Geometric Mean of Regression Coeff.

=√(0.8 x 0.2)

=√(0.16)

= 0.4

Coeff. of correlation = 0.4