If you pay more in tuition to go to a top business school, will it necessarily result in a higher probability of a job offer at graduation? Let yequalspercentage of graduates with job offers and xequalstuition cost; then fit the simple linear model, Upper E (y )equals beta 0 plus beta 1 x, to the data below. Is there sufficient evidence (at alphaequals0.05) of a positive linear relationship between y and x?

ANSWER  

a. the test statistic t = (1.52 )

b. the p-value. p-value.= ( 0.1679 )

c. since p-value=0.1619 is more than the level of significance alpha=0.1 so

Don’t reject H0.Theren is insufficient evidence that there exists a positive linear relationship between y and x.

Step-by-step explanation:

the linear model fitting analysis is given as

here null hypothesis H0:β1=0 and alternative hypotheis H1:β1≠0

Analysis of Variance

SourceDFSum of SquaresMean SquareF ValuePr > F

Model161.52564         61.525642.300.1679

Error8214.07436        26.75930  

Corrected 9275.60000    

Total

Root MSE        5.17294              R-Square      0.2232

Dependent Mean89.20000      Adj R-Sq          0.1261

Coeff Var         5.79926  

Parameter Estimates

Variable  DFParameter EstimateStandard Errort ValuePr > |t|

Intercept   1           9.54781                    52.55541          0.180.8604

tution   1          0.00208            0.00137          1.520.1679

ANSWER  

a. the test statistic t = (1.52 )

b. the p-value. p-value.= ( 0.1679 )

c. since p-value=0.1619 is more than the level of significance alpha=0.1 so

Don’t reject H0.Theren is insufficient evidence that there exists a positive linear relationship between y and x.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

entering that problem on the tube might get you an answer