We will use MINITAB software to get the answers,
a)
The regression equation is
overall quality = 2.11 + 0.407 heading + 0.262 fit and finish
+ 0.0662 dependability
here we get all coefficient has positive value,
interpretation :
heading: keeping all variable as constant if we increase one unit of heading then we get 0.407 times increase in overall quality.
fit and finish: keeping all variable as constant if we increase one unit of fit and finish then we get 0.262 times increase in overall quality.
dependability: keeping all variable as constant if we increase one unit of dependability then we get 0.0662 times increase in overall quality.
The MINITAB output for significance of all variable is
b)
given significance level=0.05
here p-value for heading = 0.055>0.05 hence we can say that heading is insignificant to predict overall quality.
c)
here p-value for fit and finish= 0.123>0.05 hence we can say that fit and finish is insignificant to predict overall quality.
d)
here p-value for dependability= 0.468>0.05 hence we can say that dependability is insignificant to predict overall quality.
e)
there is no variable can significantly predict overall quality.
but taking all variables and by ANOVA table we get
so here p-value = 0.01 < 0.05 hence we can say that the model is significantly effective.
as per chegg policy we have permission to answer first 4 subparts only.
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