I need help with problem. My answers are incorrect.

A real estate association in a suburban community would like to study the relationship between the size of asingle-family house(as measured by the number ofrooms) and the selling price of the house(in thousands ofdollars). Two different neighborhoods are included in thestudy, one on the east side of the community (=0) and the other on the west side (=1). A random sample of 20 houses wasselected, with the results given below. Complete parts(a) through(g). For parts(a) through(d), do not include an interaction term.

Price Rooms Neighborhood

305.7 6 0

307.5 8 0

340.2 9 0

346.5 12 0

308.2 8 0

338.8 9 0

334.1 11 0

312.2 8 0

327.8 9 0

335.4 9 0

319.4 7 1

383.8 13 1

339.9 10 1

348.7 10 1

346.1 9 1

327.2 8 1

332.9 8 1

345.8 9 1

363.3 11 1

351.9 9 1

a. State the multiple regression equation that predicts the sellingprice, based on the number ofrooms, X1, and theneighborhood, X2.

Yi= + ( )X1i + ( )X2i

(Round to three decimal places as needed. Do not include the$ symbol in youranswers.)

b. Interpret the regression coefficients in(a).

Holding constant whether a house is in the east or west side oftown, for each increase of 1 room in thehouse, the predicted price of the home is estimated to increase by thousand dollars. Holding constant the number of rooms in thehome, the presence of the home on the (east OR west) side of town is estimated to increase the predicted price of the home by thousand dollars over the price of a home on the (east OR west) side of town.

(Round to three decimal places as needed. Do not include the$ symbol in youranswers.)

c. At the 0.05 level ofsignificance, determine whether each independent variable makes a contribution to the regression model.

Test the first independentvariable, Rooms. Determine the null and alternative hypotheses.

H0: 1

H1: 1

The test statistic for the first independentvariable, Rooms, is

tSTAT=

(Round to three decimal places asneeded.)

Thep-value for the first independentvariable, Rooms, is

(Round to four decimal places asneeded.)

Since thep-value is (less OR greater) than the value of , (do not reject OR reject) the null hypotheses. The first independentvariable, Rooms, (appears OR does not appear) to make a contribution to the regression model.

Test the second independentvariable, Neighborhood. Determine the null and alternative hypotheses.

H0: 2

H1: 2

The test statistic for the second independentvariable, Neighborhood, is

tSTAT=

(Round to three decimal places asneeded.)

Thep-value for the second independentvariable, Neighborhood, is

(Round to four decimal places asneeded.)

Since thep-value is (less OR greater) than the value of , (do not reject OR reject) the null hypothesis. The second independentvariable, Neighborhood, (does not appear OR appears)

to make a contribution to the regression model.

d. Construct and interpret a95% confidence interval estimate of the population slope of the relationship between selling price and number of rooms.

Taking into account the effect of (Price OR Neighborhood OR Rooms) the estimated effect of a 1 room increase is to change the (Price OR Neighborhood OR Rooms) by to thousand dollars.

(Round to three decimal places as needed. Do not include the$ symbol in your answers. Use ascendingorder.)

e. Construct and interpret a95% confidence interval estimate of the population slope of the relationship between selling price and neighborhood.

Taking into account the effect of (Price OR Neighborhood OR Rooms) the estimated effect of the home being on the west side of town instead of the east side of town is to change the (Rooms OR Price Or Neighborhood) by to thousand dollars.

(Round to three decimal places as needed. Do not include the$ symbol in your answers. Use ascendingorder.)