TASK 1

Question 1

Independent sample T test

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