Answered: You are given the following data, where…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

You are given the following data, where X1X1 (final percentage in science class) and X2X2 (number of absences) are used to predict YY (standardized science test score in third grade):

X1X1	X2X2	YY
95	2	415
82	0	400
92	6	375
72	1	410
75	4	370
80	1	390
78	3	350
70	3	345
65	7	300
70	3	350
88	3	375
89	1	450

Determine the following multiple regression values.

Report intercept and slopes for regression equation accurate to at least 2 decimal places:
    Intercept:  b0=b0=
    Partial slope X1X1:  b1=b1=
    Partial slope X2X2:  b2=b2=

Report the coefficient of multiple determination for the model (NOT the adjusted R2R2) and the sum of squares total accurate to at least 2 decimal places:
    R2=R2=
    SSTotal=SSTotal=

Test the significance of the overall regression model.
    F-test statistic =
    P-value =

Report the Mean Squares residuals accurate to 2 decimal places:


Report the test statistics for the regression coefficients accurate to 2 decimal places:
    The test statistics for b1b1, t=t=
    The test statistics for b2b2, t=t=

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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