An agent for a real estate company wanted to predict the monthly rent for apartments based on the size of the apartment. The data for a sample of 25 apartments is available below. Perform at test for the slope to determine if a significant linear relationship between the size and the rent exists. a. At the 0.05 level of significance, is there evidence of a linear relationship between the size of the apartment and the monthly rent? b. Construct a 95% confidence interval estimate of the population slope, P- E Click the icon to view the data. a. Determine the hypotheses for the test. Choose the correct answer below. O B. Ha: Ba =0 O A. Ho B, s0 H B, >0 OC. H;: B, 20 H;: B, <0 O D. H B =0 H: B, #0 Find the test statistic. tSTAT = (Round to two decimal places as needed.) What is the p-value? p-value = (Round to three decimal places as needed.) Reach a decision. V Họ. There is V evidence to conclude that there is a linear relationship between the size of the apartment and the monthly rent b. The 95% confidence interval is OsP, sO (Round to four decimal places as needed.)

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An agent for a real estate company wanted to predict the monthly rent for apartments based on the size of the apartment. The data for a sample of 25 apartments is available below. Perform at test for the slope to determine if a significant linear relationship between the size and the rent
exists.
a. At the 0.05 level of significance, is there evidence of a linear relationship between the size of the apartment and the monthly rent?
b. Construct a 95% confidence interval estimate of the population slope, B1-
E Click the icon to view the data.
a. Determine the hypotheses for the test. Choose the correct answer below.
O A. Ho: B1 S0
H;: B, > 0
O B. Ho: Po =0
Hi: Bo #0
O D. Ho: B1 =0
O C. Ho: B, 20
H;: B, <0
H;: B, #0
Find the test statistic.
TSTAT = (Round to two decimal places as needed.)
What is the p-value?
p-value =
(Round to three decimal places as needed.)
Reach a decision.
Ho. There is
V evidence to conclude that there is a linear relationship between the size of the apartment and the monthly rent.
b. The 95% confidence interval issß, s.
(Round to four decimal places as needed.)
Transcribed Image Text:An agent for a real estate company wanted to predict the monthly rent for apartments based on the size of the apartment. The data for a sample of 25 apartments is available below. Perform at test for the slope to determine if a significant linear relationship between the size and the rent exists. a. At the 0.05 level of significance, is there evidence of a linear relationship between the size of the apartment and the monthly rent? b. Construct a 95% confidence interval estimate of the population slope, B1- E Click the icon to view the data. a. Determine the hypotheses for the test. Choose the correct answer below. O A. Ho: B1 S0 H;: B, > 0 O B. Ho: Po =0 Hi: Bo #0 O D. Ho: B1 =0 O C. Ho: B, 20 H;: B, <0 H;: B, #0 Find the test statistic. TSTAT = (Round to two decimal places as needed.) What is the p-value? p-value = (Round to three decimal places as needed.) Reach a decision. Ho. There is V evidence to conclude that there is a linear relationship between the size of the apartment and the monthly rent. b. The 95% confidence interval issß, s. (Round to four decimal places as needed.)
Size (square feet)
Rent ($)
1,975
2,575
2,225
2,525
1,950
2,700
2,625
1,925
1,875
2,175
2,400
2,625
3,300
2,825
2,400
2,450
2,075
2,725
2,225
2,125
2,575
2,625
2,200
1,825
2,775
850
1,440
1,075
1,242
708
1,485
1,146
716
690
946
1,110
1,295
1,995
1,359
1,165
1,235
1,245
1,259
1,160
896
1,371
1,030
765
1,000
1,200
Transcribed Image Text:Size (square feet) Rent ($) 1,975 2,575 2,225 2,525 1,950 2,700 2,625 1,925 1,875 2,175 2,400 2,625 3,300 2,825 2,400 2,450 2,075 2,725 2,225 2,125 2,575 2,625 2,200 1,825 2,775 850 1,440 1,075 1,242 708 1,485 1,146 716 690 946 1,110 1,295 1,995 1,359 1,165 1,235 1,245 1,259 1,160 896 1,371 1,030 765 1,000 1,200
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