10041-702 Fall 2017- Introductory Statistics Homework: Section 4.4 Homework Scor
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Question
10041-702 Fall 2017- Introductory Statistics Homework: Section 4.4 Homework Score: 0 of 1 pt HW Score: 87.18%, 10.46 4.4.71 The data shown in the accompanying table are the number of years of formal education of the fathers and mothers of a sample of 29 statistics students at a small an area with many recent immigrants. The scatterplot (not shown) suggests a linear trend Complete parts a through c Click the icon to view the data table for the number years of formal education. a Find and report the regression equation for predicting the mother's years of education from the father's. Then find the predicted number of years for the mother if the fathe years of education, and find the predicted number of years for a mother if the father has 4 years of education State the regression equation for predicting the mother's years of education from the fathers Predicted Mother's Education O Father's Education (Round to two decimal places as needed) Enter your answer in the edit fields and then click Check Answer Clear All Final Ch Type here to searchExplanation / Answer
Step 1: Find XY and X2 as it was done in the table below.
Step 2: Find the sum of every column:
X=242 , Y=248 , XY=2335 , X2=2524
Step 3: Use the following equations to find a and b:
a=YX2XXY/nX2-(X)2=24825242422335/29252424224.161
b=nXYXY/nX2(X)2=292335242248/292524(242)20.526
Step 4: Substitute a and b in regression equation formula
y = a + bx= 4.161 + 0.526x
now for x=4, y=6.265
X Y XY XX 5 5 25 25 12 13 156 144 3 4 12 9 12 12 144 144 9 12 108 81 3 7 21 9 9 9 81 81 6 4 24 36 11 8 88 121 0 11 0 0 9 11 99 81 7 7 49 49 8 8 64 64 6 6 36 36 10 8 80 100 4 7 28 16 16 12 192 256 14 3 42 196 11 9 99 121 7 7 49 49 4 2 8 16 10 13 130 100 13 11 143 169 12 12 144 144 11 13 143 121 12 18 216 144 14 9 126 196 0 0 0 0 4 7 28 16Related Questions
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