(b)A random sample of twelve students were chosen, and their midterm test score ( y), assignment score (x1), and missed classes (x2) were recorded as follows: Midterm Score, y Assignment Score, x1 Classes Missed, x2 85 65 1 + Ω 74 50 7 76 55 5 90 65 2 85 55 6 87 70 3 94 65 2 98 70 5 81 55 4 91 70 3 76 50 1 74 55 4 (i)What is the fitted multiple linear regression equation of the form ˆy = b0 + b1x1 + b2x2? (ii)From part 6(b)(i) above, estimate the midterm test score grade for a student who has an assignment score of 60 and missed 4 classes. (iii)Assume that the data on ( y, x1, x2) above in 6(b) is inputted into SPSS, with the following results: ANOVA Source SS df MS F Regression a c f g Residual b d 20.406 Total 728.250 e Coefficients Standard error Intercept 27.547 12.498 Assignment Score 0.922 0.186 Missed Classes 0.284 0.754 A. At a 5% level of significance, test whether the individual variables, assignment score (x1) and missed classes (x2) are significant explanatory variables for the midterm test score. B. Find the constants a,b,c,d,e,f, and g in the ANOVA table C. Test the overall significance of the multiple linear regression model/equation in (I) at a 1% level of significance.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

(b)A random sample of twelve students were chosen, and their midterm test score ( y), assignment score (x₁), and missed classes (x₂) were recorded as follows:

Midterm Score, y	Assignment Score, x₁	Classes Missed, x₂
85	65	1 + Ω
74	50	7
76	55	5
90	65	2
85	55	6
87	70	3
94	65	2
98	70	5
81	55	4
91	70	3
76	50	1
74	55	4

(i)What is the fitted multiple linear regression equation of the form ˆy = b₀ + b₁x₁ + b₂x₂?

(ii)From part 6(b)(i) above, estimate the midterm test score grade for a student who has an assignment score of 60 and missed 4 classes.

(iii)Assume that the data on ( y, x₁, x₂) above in 6(b) is inputted into SPSS, with the following results:

ANOVA
Source	SS	df	MS	F
Regression	a	c	f	g
Residual	b	d	20.406
Total	728.250	e

	Coefficients	Standard error
Intercept	27.547	12.498
Assignment Score	0.922	0.186
Missed Classes	0.284	0.754

A. At a 5% level of significance, test whether the individual variables, assignment score (x1) and missed classes (x2) are significant explanatory variables for the midterm test score.

B. Find the constants a,b,c,d,e,f, and g in the ANOVA table

C. Test the overall significance of the multiple linear regression model/equation in (I) at a 1% level of significance.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 7 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions