Property TaxesSize

21985 2428

17448 2413

18247 1847

15636 1061

43943 5672

33618 2525

15255 2216

16784 1916

18153 2003

16759 1316

15192 1335

36072 3034

31015 2829

42195 3379

14356 1500

38938 4053

25355 4051

22961 2448

16181 3506

29206 2803

A realtor studies the relationship between the size of a house (in square feet) and the property taxes (in $) owed by the owner. The table below shows a portion of the data for 20 homes in a suburb 60 miles outside of New York City. [You may find it useful to reference the t table.] Property Taxes Size 21, 985 2, 428 17, 448 2, 413 29, 206 2, 803 Click here for the Excel Data File a-1. Calculate the sample correlation coefficient xy. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) Sample correlation coefficient a-2. Interpret /xy. The correlation coefficient indicates a positive linear relationship. The correlation coefficient indicates a negative linear relationship. The correlation coefficient indicates no linear relationship. b. Specify the competing hypotheses in order to determine whether the population correlation coefficient between the size of a house and property taxes differs from zero. OHO : Pxy = 0 ; HA : Pxy * 0 O He : Pxy 2 0 ; HA : Pxy 0 c-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c-2. Find the p-value. O p-value