Question 1
Independent sample T test

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Hypothesis

H0 (Null
hypothesis): There is no significant difference
in the mean price of cars for sale privately and by a used car dealer

H1 (Null
hypothesis): There is no significant
difference in the mean price of cars for sale privately and by a used car
dealer

Calculation depicted in appendix 2.

Interpretation: Results of
independent sample T test shows that average prices accounts for \$16048.53 when
car is sold by dealer. On the other side, in the case of private seller mean
value implies for \$16432.50 significantly. In addition to this, p>0.05 that
entails that average price level of cars significantly vary as per seller.
Hence, from evaluation it can be stated that null hypothesis is true.

Question 2
Presenting linear regression analysis related to age and price

H0 (Null
hypothesis): There is no significant linear
relationship between age and price of Mazda-3.

H1 (Null hypothesis): There is a significant linear relationship between age and
price of Mazda-3.

Calculation depicted in appendix 3.

Interpretation: Model
summary table, referring appendix 3, it can be mentioned that R and R square
accounts for 0.86 & 0.74 respectively. Level of R entails that both age and
price variable of car is highly correlated.
Along with this, it has assessed from evaluation that significance value
is 0.00 that falls within standard limit such as 0.05. Hence, all the aspects
or outcome indicates that alternative hypothesis is true. Based on overall
evaluation, it can be presented that significant relationship exists between
age and price of Mazda-3 in a state of New South Wales.

Question 3
Presenting multiple regression analysis of variables like price, age, odometer
and transmission

H0 (Null
hypothesis): There is no significant
relationship of price pertaining to Mazda-3 with age, odometer and
transmission.

H1 (Null hypothesis): There is a significant linear relationship price pertaining to
Mazda-3 with age, odometer and transmission.

Calculation depicted in appendix 4.

Interpretation: Statistical
evaluation of multiple regressions shows that price of Mazda-3 is highly and
positively correlated with age, odometer and transmission. Results of
evaluation present that R accounts for .896 significantly. In addition to this,
significance value in the case of age and odometer implies for 0.00, whereas p
in the context of transmission variable is .01. Overall, p