Question

for the following data set answer the following:

x=17,13,12,15,16,14,16,16,18,19

y=94,73,59,80,93,85,66,79,77,91

a)prepare a scatter plot

b)calculate an expression for the regression line

c)calculate the correlation coefficient r

d)calculate the coefficient of determination r^2

e)test the hypothesis (H0=P=0; Ha P does not equal 0) for sigma=0.05 using your determine value of r and online t tables.

Please show work!!!

Answer 1

a) Scatter Plot

b) Regression line

c) Correlation Coefficient

d) R² = 0.5961² = 0.355

e)   $H0: \rho =0$

$H1: \rho \neq 0$

df = 8

The critical value of r is 0.632

Since r calculated is less than r tabulated. Fail to Reject H0

Hence there is no linear relationship exists between X and Y