Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type. The regression output is available a) Test for the significance of the regression coefficient of modulus (Betha1)at the significance level a=o.05. Predictor Coef Stdev t-ratio P Constant 3.2925 0.6008 5.48 0.000 mod elas 0.10748 0.01280 8.40 0.00০ S = 0.8657 R-sq = 73.8% R-sq (adj) = 72.8% Analysis of Variance SOURCE DF SS MS Regression 1 52.870 52.870 70.55 0.000 Error 25 18.736 0.749 Total 26 71.605 Select one: a. Not enough information to do the test b. we reject the null hypothesis and conclude that (Betha1) is not equal to zero C. we fail reject the null hypothesis and conclude that (Betha1) is not equal to zero d. None of the answers
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.
![Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit
length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a
sample of concrete beams of a certain type.
The regression output is available
a) Test for the significance of the regression coefficient of modulus (Betha1)at the significance level a=0.05.
Predictor
Coef
Stdev
t-ratio
Constant
mod elas
3.2925
0.6008
0.01280
5.48
0.000
0.000
0.10748
8.40
S 0.8657 R-sq = 73.8% R-sq (adj) = 72.8%
Analysis of Variance
SOURCE
Regression
Error
DF
SS
MS
1
2.870
70.55 0.000
25
18.736
0.749
Total
26
71.605
Select one:
a. Not enough information to do the test
b. we reject the null hypothesis and conclude that (Betha1) is not equal to zero
C. we fail reject the null hypothesis and conclude that (Betha1) is not equal to zero
d. None of the answers](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2a2b181-3531-4ece-8625-1f28fff6b1ef%2Fa1dbd2c7-2fc5-456d-ab78-98553626b398%2Fh8cil5e_processed.jpeg&w=3840&q=75)
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