Question 1. Consider the following data points for X and Y. Use the information in the table below to answer the following questions. x y (x-x̄) (x-x̄)^2 (y-ȳ) (x-x̄)(y-ȳ) 1 1 -2.0 4.0 -1.2 2.4 2 2 -1.0 1.0 -0.2 0.2 3 2 0.0 0.0 -0.2 0.0 4 3 1.0 1.0 0.8 0.8 5 3 2.0 4.0 0.8 1.6 Mean=3 Mean=2.2 Sum=10 Sum=5 (8 points) What is the slope coefficient? (8 points) What is the intercept? (4 points) Write out the prediction equation for this set of data.
Added by Jennifer S.
Step 1
We can use the formula: slope coefficient = (sum of (x-x̄)(y-y¯)) / (sum of (x-x̄)^2) Plugging in the values from the table, we get: slope coefficient = (2.4 + 0.2 + 0 + 0.8 + 1.6) / (4.0 + 1.0 + 0.0 + 1.0 + 4.0) = 5 / 10 = 0.5 So the slope coefficient is 0.5. Show more…
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