ApartmentNo.	1	2	3	4	5
Size(m2)	850	1450	1085	1232	718
MonthlyRental($)	950	1600	1200	1500	950
ApartmentNo.	6	7	8	9	10
Size(m2)	1485	1136	726	700	956
MonthlyRental($)	1700	1650	935	875	1150
ApartmentNo.	11	12	13	14	15
Size(m2)	1100	1285	1985	1369	1175
MonthlyRental($)	1400	1650	2300	1800	1400

An agent for a residential real estate company would like to predict the monthly rental cost for apartments based on the flat size of the apartment. A sample of 15 apartments rented in a particular residential neighborhood was selected, and the information was collected above:

In this question, I have the following want to ask.

1. Determine the independent (x) and dependent variables (y)

2. ComputethesamplePearson correlationcoefficient,r.Comment onthemeaningofyour answer.

3. Findtheleastsquares estimatesof₀ and₁ and writedownthe fittedregressionequation.

4. Employtheequationobtained inpart3 topredictthemonthlyrentals whenthesizeare respectively equal to 1200m²and2200m².

5. Doyouthinkthatthefitted/predictedvaluesobtainedinpart 4 arereliable? Explains carefully.

6. Construct anANOVAtable with SSR, SSE, MSR, MSE and F-ratio.

7. Based on the result of part 6, test for the model linearity at = 5% level of significance. State the following in testing procedures: H₀ and H_{1 ,} Critical value of F distribution, Decision rule in the form of inequalities, Value of test statistic, Decision and Conclusion

8. Calculate R² with briefly explanation.

That's all. Thanks for your help.