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 a t 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, ₁. Click the icon to view the data. a. Determine the hypotheses for the test. Choose the correct answer below. OA. H₂ P=0 H₁: ₂ #0 OC. H₂ B₂ 20 H₁: B₁ <0 Find the test statistic. ISTAT (Round to two decimal places as needed.) OB. Ho B, 50 H₁: B₁ >0 D. H₂: B₁ = 0 H₁: B, #0 Size and Rent Data Size (square feet) 840 1,440 1,095 1,232 728 1,475 1,126 726 710 956 1,110 1,275 1,975 1,369 1,165 1,215 1,235 1,269 1,160 896 1,361 1,050 745 1,000 1,190 Print Rent (5) 1,975 2,575 2,200 2,500 1,975 2,675 2,625 1,945 1,900 2,175 2,425 2,625 3,325 2,825 2,425 2,475 2,100 2,675 2,200 2,175 2,575 2,675 2,175 1,800 2,775 Done - X

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A. Find the TSTAT

B. Find the p-value 

C. Construct a 95% confidence interval estimate of the population slope 

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 a t 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.
Click the icon to view the data.
a. Determine the hypotheses for the test. Choose the correct answer below.
OA. Ho: Bo=0
Hi Boto
O C. Ho: B₁ 20
H₁: B₁ <0
Find the test statistic.
tSTAT (Round to two decimal places as needed.)
C
OB. Ho: B₁50
H₁: B₁ > 0
D. H₁: B₁ = 0
H₁: B₁ #0
Size and Rent Data
Size (square feet)
840
1,440
1.095
1,232
728
1,475
1.126
726
710
390
956
1,110
1,275
1,975
1,369
1165
1,165
1215
1.215
15
1,235
1.200
1,269
1.400
1,160
1:200
896
000
1,361
1,050
745
1,000
1,190
Print
Rent ($)
1.975
2,575
2.200
2,500
1,975
2,675
2,625
1,945
1,900
2,175
2,425
2,625
3,325
2,825
2,425
2,475
2,100
2,675
2019
2,200
דליל
2,175
2,575
2,675
2,175
1.800
2,775
Done
0
- X
Transcribed Image Text:An agent for a real estate company wanted to predict the monthly rent for apartments based on the size of the apartment. The data for a sample of 25 apartments is available below. Perform a t test for the slope to determine if a significant linear relationship between the size and the rent exists. a. At the 0.05 level of significance, is there evidence of a linear relationship between the size of the apartment and the monthly rent? b. Construct a 95% confidence interval estimate of the population slope, B₁. Click the icon to view the data. a. Determine the hypotheses for the test. Choose the correct answer below. OA. Ho: Bo=0 Hi Boto O C. Ho: B₁ 20 H₁: B₁ <0 Find the test statistic. tSTAT (Round to two decimal places as needed.) C OB. Ho: B₁50 H₁: B₁ > 0 D. H₁: B₁ = 0 H₁: B₁ #0 Size and Rent Data Size (square feet) 840 1,440 1.095 1,232 728 1,475 1.126 726 710 390 956 1,110 1,275 1,975 1,369 1165 1,165 1215 1.215 15 1,235 1.200 1,269 1.400 1,160 1:200 896 000 1,361 1,050 745 1,000 1,190 Print Rent ($) 1.975 2,575 2.200 2,500 1,975 2,675 2,625 1,945 1,900 2,175 2,425 2,625 3,325 2,825 2,425 2,475 2,100 2,675 2019 2,200 דליל 2,175 2,575 2,675 2,175 1.800 2,775 Done 0 - X
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