1. Use this formula to calculate correlationcoefficient for the following data:

r= ss(xy)/square root (ss(x) * ss(y)

X 2 4 3 4 0

Y 6 7 5 6 3

2. If a sample of size 18 has a linear correlation coefficient, r = -0.5, is there significant reason to conclude that the linear correlation coefficient of the population is negative? Use alpha = 0.01

3.

Distance 1 3 5 5 7 7 8 10 10 12

Time 5 10 15 20 15 25 20 25 35 35

a. Draw a scatter diagram of these data.

b. Find the equation that describes the regression line for these data.

c. does the value of b1 show sufficient strength to conclude that b1 is greater than zero at the alpha = 0.05 level?

d. Find the 98% confidence intervalfor the estimation of b1?

Dear student, please refer to the attachment for the solution. Thank You.

Solution-1:

x y (x-x’) (y-y’) (x-x’)(y-y’)

2 6 0.36 0.36 -0.36

4 7 1.96 2.56 2.24

3 5 0.16 0.16 -0.16

4 6 1.96 0.36 0.84

0 3 6.76 5.76 6.24

SS(x) 11.2

SS(y) 9.2

SS(xy) 8.8

Correlation Coefficient, r = 0.86692

[Please refer to the EXCEL attachment for detailed …

This solution is comprised of detailed explanation and step-by-step calculation of the given problems and provides students with a clear perspective of the underlying concepts.