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  1. mathematics
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  3. consider the paired sample {(3, 1),(3, 5),(6, 6),(

Consider the paired sample {(3, 1),(3, 5),(6, 6),(6, 8),(7, 10)}. Do the following by hand (you...

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Statistics

Consider the paired sample {(3, 1),(3, 5),(6, 6),(6, 8),(7,10)}. Do the following by hand (you may use a basic calculator, butnot a statistical program).

(a) Find estimates βˆ 0 and βˆ 1 of the regression parameters β0and β1.

(b) Make a rough sketch of the data and regression line.

(c) Predict the value of y when x = 5.

(d) Predict the value of y when x = 15.

(e) Which prediction (part c or d) do you trust more? Why?

(f) For the data point (3, 5), calculate the residual i .

(g) Perform a test of H0 : β1 = 0 vs HA : β1 6= 0. Use α =0.05.

Answer & Explanation Solved by verified expert
4.2 Ratings (601 Votes)
Here observation 3 1 denote that x1 is 3 and y1 is 1So here    See Answer
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