(c) Use the F test to test for a significant relationship. Use a= 0.05. we are to conduct a hypothesis test to determine if there is a significant relationship between x and y, but now we will use the F test statistic. Again, we will test the following hypotheses. Ho: P₁0 H₂!A₂0 The F test statistic is calculated as follows using the mean square due to regression, MSR, and the mean square due to error, MSE. Recall the MSE is using SSE, the sum of squares due to error, and n, the number of observations where MSE MSR MSE SSE n-2 Combining these into a single formula, we have the following. MSR F="sst 1-2 We previously found SSE 231.3 and n 5, so we just need to calculate MSR. This will be the sum of squares due to regression, SSR, divided by the number of independent variable For this test, there is only one independent variable, x, so MSR SSR. Recall the formula to find SSR where 9, is the predicted value of the dependent variable for the ith observation and y is the mean of the observed dependent variables. SSR- -Σ0₁-² The given data follow. Find y. x₁ 4 5 Enter a number 12 17 22 Y 19 27 14 36 28

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