Multiple and Partial Regression Analysis
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For the multiple regression equation y = 100 + 20x1 + 3x2 + 120x3:
a. Identify the y-intercept and partial regression coefficients.
b. If x1 = 12, x2 = 5, and x3 = 10, what is the estimated value of y?
c. If x3 were to increase by 4, what change would be necessary in x2 in order for the estimated value of y to remain unchanged?
2. In testing 9 sedans,the following were rated on 13 different characteristics, including ride, handling and driver comfort. Each vehicle also received an overall rating. Score for each vehicle wre as follows.
y = x3 =
Overall x1 = x2 = Driver
Car Rating Ride Handling Comfort
1 83 8 7 7
2 86 8 8 8
3 83 6 8 7
4 83 8 7 9
5 95 9 9 9
6 84 8 8 9
7 88 9 6 9
8 82 7 8 7
9 92 8 9 8
a. Determine the least squared multiple regression equation.
b. Intercept the y intercept and partial regression coefficients
c. What is the estimated budget for a zoological park that draws an annual attendance a 2.0 million, occupies 150 acres and has 600 species?
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This solution provides answers to various questions regarding regression analysis.
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