Question

The following observations are obtained from a random sample of 10 individuals: Individual x y 1 9.08 5.25 2 4.23 3.58 3 6.88 4.75 4 10.3 5.38 5 8.09 4.27 6 10.6 5.79 7 4.50 3.41 8 8.32 5.75 9 7.17 4.74 10 9.45 5.43 Run a t-linear regression test on this data. (HINT: make sure you copy the numbers correctly!) What are the appropriate null and alternative hypotheses? H0:r=0H1:r≠0 H0:ρ=0H1:ρ<0 H0:ρ=0H1:ρ≠0 H0:r=0H1:r>0 H0:r=0H1:r<0 H0:ρ=0H1:ρ>0 What is the correlation coefficient? Round to 4 decimals. Number What is the coefficient of determination? Round to 4 decimals. Number Calculate the value of the test statistic. Round your response to at least 2 decimal places. |t|= Number What is the corresponding P-value for the test statistic? Round your response to at least 6 decimal places. Number Make a decision (hint: when in doubt, use the α=.05 significance level) Since α P, we the null hypothesis Help write a summary of the results of this hypothesis test: enough evidence in this sample to conclude there is a between the variables X and Y at the α= significance level because P= Number . What is the equation of the Regression line? Round the values to 4 decimal places y^= Number ⋅x+ Number Choose the correct Unlabeled Scatter plot from the choices below Maple plot

Answer 1

Hypothesis:

H0:ρ=0H1:ρ≠0

T = (coff.x - beeta)/SEx = 5.8

p value < 0.05

reject H0