From the following
Minitab regression analysis, what can you conclude for the hypothesis test of H
0:
![](http://webquiz.ilrn.com/ilrn/formulaImage?f=5C3A5Cbeta_7B17D+5C3A3D+5C3A05C3A&ns=0)
versus H
a:
![](http://webquiz.ilrn.com/ilrn/formulaImage?f=5C3A5Cbeta_7B17D+5Cneq+05C3A&ns=0)
using
![](http://webquiz.ilrn.com/ilrn/formulaImage?f=5C3A5Calpha5C3A3D5C3A+0.055C3A&ns=0)
?
a.The null hypothesis would be rejected and the conclusion would be that the
x variable is necessary for the regression model to predict
y.
b.The null hypothesis would not be rejected and the conclusion would be that the
x variable is of no use in the regression model to predict
y.
c.The null hypothesis would be rejected and the conclusion would be that the
y-intercept of the regression model is equal to zero.
d.The null hypothesis would not be rejected and the conclusion would be that the slope of the regression line is equal to zero.
Q. 2
Which of the following is not a property of ryx?
a.The value of
ryx depends on the units in which
x and
y are measured.
b.The square of the correlation coefficient is the value for the coefficient of determination that results from fitting the simple linear regression model.
c.
![](http://webquiz.ilrn.com/ilrn/formulaImage?f=5C3A-1+5C3A5Cleq+5C3A5Citalic7Br7D_7B5Citalic7Byx7D7D+5C3A5Cleq+5C3A15C3A&ns=0)
d.The strength of the linear relationship is determined by the closeness of the points to a straight line.
Q. 3
Suppose the estimated regression line for predicting the high temperature of the day from the nighttime low temperature is y = 12 + 1.2x. What is the value for the residual when the nighttime low is 45 if the observed daytime high temperature is 70?
a.4
b.66
c.-4
d.25
Q. 4 What does the hypothesis H
0:
![](http://webquiz.ilrn.com/ilrn/formulaImage?f=5C3A5Cwidehat7B5Cbeta7D_7B17D+5C3A3D+5C3A05C3A)
imply?
a.It implies that
x has no value in predicting
y.
b.It implies that
y is of no use in predicting
x.
c.It implies that the regression line does not have a
y-intercept.
d.It implies that x is necessary for predicting y.
Q. 5 Suppose a sample of size 10 is used to compute a least squares regression line and gives
![](http://webquiz.ilrn.com/ilrn/formulaImage?f=5C3A5Cwidehat7B5Cbeta7D_7B07D+5C3A3D+5C3A2.55C3A)
,
![](http://webquiz.ilrn.com/ilrn/formulaImage?f=5C3A5Cwidehat7B5Cbeta7D_7B17D+5C3A3D+5C3A5.85C3A)
and
![](http://webquiz.ilrn.com/ilrn/formulaImage?f=5C3A5Citalic7Bs7D_7B5Cwidehat7B5Cbeta7D_7B17D7D+5C3A3D+5C3A1.25C3A)
, what would be a 95 confidence interval for
![](http://webquiz.ilrn.com/ilrn/formulaImage?f=5C3A5Cwidehat7B5Cbeta7D_7B17D5C3A)
?
a.(3.57, 8.03)
b.(3.09, 8.51)
c.(-0.27, 5.27)
d.(3.03, 8.57)
Q. 6 Using the
Minitab output below of a linear regression in which the time to complete a task is used to predict a person's score, what would the score be for an individual who took 15 minutes to complete the task?
a.17.27
b.The regression equation is not given so the score cannot be computed.
c.187.48
d.12.4774