You are given the following data, where X1 (final percentage in math class) and X2 (number ofabsences) are used to predict Y (standardized math test score in third grade):Y X1 X23457039080137075437592400823507033106154208037588341072148599300657Determine the following multiple regression values.Report intercept and slopes for regression equation accurate to 3 decimal places:Intercept: a =Partial slope X1: bị =Partial slope X2: bz =Report sum of squares accurate to 3 decimal places:SSregTest the significance of the overall regression model (report F-ratio accurate to 3 decimal placesand P-value accurate to 4 decimal places):F-ratio =P-value =Report the variance of the residuals accurate to 3 decimal places:Sres =Report the results for the hypothesis test for the significance of the partial slope for finalpercentage in math class (report the test statistic for the regression coefficients accurate to 3decimal places and P-value accurate to 4 decimal places):t1 =P-value =

Let the multiple regression is, Y= a+b1x1+b2x2 Here a is the intercept , b1 and b2 are the slopes.…

370 75 375 92 6 400 82 350 70 3 310 61 420 80 2 375 88 3 410 72 1 485 99 300 65 7 he following multiple regression values. cept and slopes for regression equation accurate to 3 decimal places: pe X1: bị - pe X2: b2 = %3D of squares accurate to 3 decimal places:

370 75 375 92 6 400 82 350 70 3 310 61 420 80 2 375 88 3 410 72 1 485 99 300 65 7 he following multiple regression values. cept and slopes for regression equation accurate to 3 decimal places: pe X1: bị - pe X2: b2 = %3D of squares accurate to 3 decimal places:

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

You are given the following data, where X1 (final percentage in math class) and X2 (number of
absences) are used to predict Y (standardized math test score in third grade):
Y X1 X2
345
70
390
80
1
370
75
4
375
92
400
82
350
70
3
310
61
5
420
80
375
88
3
410
72
1
485
99
300
65
7
Determine the following multiple regression values.
Report intercept and slopes for regression equation accurate to 3 decimal places:
Intercept: a =
Partial slope X1: bị =
Partial slope X2: bz =
Report sum of squares accurate to 3 decimal places:
SSreg
Test the significance of the overall regression model (report F-ratio accurate to 3 decimal places
and P-value accurate to 4 decimal places):
F-ratio =
P-value =
Report the variance of the residuals accurate to 3 decimal places:
Sres =
Report the results for the hypothesis test for the significance of the partial slope for final
percentage in math class (report the test statistic for the regression coefficients accurate to 3
decimal places and P-value accurate to 4 decimal places):
t1 =
P-value =

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