Homework4_solution

# Homework4_solution - STA 3024 Homework 4 Solution Data X Y...

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Unformatted text preview: STA 3024: Homework 4 Solution Data: ( X ) ( Y ) Species Femur (m) Overall (m) 1 0.46 7.1 2 0.44 6.4 3 0.32 4.5 4 0.61 8.8 5 0.52 7.2 ( X ) ( Y ) Species Femur (m) Overall (m) 6 0.27 4.5 7 0.41 5.3 8 0.49 8.5 9 0.41 6.9 10 0.30 4.4 1. Either by hand (neatly) or using a computer program of your choice, make a scatterplot of the data. Be sure to give each axis a scale and a label (and not just X and Y ). The scatterplot should look something like the one below. 2. (a) Calculate the regression equation using the following information: ¯ X = 0 . 423 , S X = 0 . 1054 , ¯ Y = 6 . 36 , S Y = 1 . 632 , r = 0 . 9258 . b = r ( S y /S x ) = 14 . 3 and a = ¯ Y- b ¯ X = 0 . 3 . Hence , the regression equation is : ˆ Y ( X ) = 0 . 30 + 14 . 3 X. (b) Interpret the slope. As the femur length increases by 1m (0.1 m), we expect the overall length to incease by 14.3m (1.43m) on average. (c) Calculate the predicted overall length for Species 4 in the data set....
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Homework4_solution - STA 3024 Homework 4 Solution Data X Y...

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