EC315
Homework week 5
Chapter 13 #’s 40, 44, &47
40.
A. No because there are days where the number of occupied rooms went up and revenue went down.
B. occupied | income | x - xbar | y - ybar | (x-xbar)(y-ybar) | Column1 | 23 | 1,452.00 | -13.24 | 16.44 | -217.6656 | | 47 | 1,361.00 | 10.76 | -74.56 | -802.2656 | | 21 | 1,426.00 | -15.24 | -9.56 | 145.6944 | | 39 | 1,470.00 | 2.76 | 34.44 | 95.0544 | | 37 | 1,456.00 | 0.76 | 20.44 | 15.5344 | | 29 | 1,430.00 | -7.24 | -5.56 | 40.2544 | | 23 | 1,354.00 | -13.24 | -81.56 | 1079.8544 | | 44 | 1,442.00 | 7.76 | 6.44 | 49.9744 | | 45 | 1,394.00 | 8.76 | -41.56 | -364.0656 | | 16 | 1,459.00 | -20.24 | 23.44 | -474.4256 | | 30 | 1,399.00 | -6.24 | -36.56 | 228.1344 | | 42 | 1,458.00 | 5.76 | 22.44 | 129.2544 | | 54 | 1,537.00 | 17.76 | 101.44 | 1801.5744 | | 27 | 1,425.00 | -9.24 | -10.56 | 97.5744 | | 34 | 1,445.00 | -2.24 | 9.44 | -21.1456 | | 15 | 1,439.00 | -21.24 | 3.44 | -73.0656 | | 19 | 1,348.00 | -17.24 | -87.56 | 1509.5344 | | 38 | 1,450.00 | 1.76 | 14.44 | 25.4144 | | 44 | 1,431.00 | 7.76 | -4.56 | -35.3856 | | 47 | 1,446.00 | 10.76 | 10.44 | 112.3344 | | 43 | 1,485.00 | 6.76 | 49.44 | 334.2144 | | 38 | 1,405.00 | 1.76 | -30.56 | -53.7856 | | 51 | 1,461.00 | 14.76 | 25.44 | 375.4944 | | 61 | 1,490.00 | 24.76 | 54.44 | 1347.9344 | | 39 | 1,426.00 | 2.76 | -9.56 | -26.3856 | | 906 | 35,889.00 | 0 | -5.50671E-14 | 5319.64 | | 12.244999 | 42.80 | | | | | 36.24 | 1,435.56 | | | | | | | | | | | | | | | | | pearson | r= 0.42 | | | | | | | | | | |
C. There is a direct relationship between the number of rooms occupied and the income. The value of 0.42 is a moderate association because Its towards the middle range versus closer to one or closer to -1
D. the percent of the variation is determined by the coefficient of determination. So r² =(0.42)(0.42)=0.18 so the percent equals 18%
44.
A.
r= 10.001/32.80=0.31
B.
The coefficient of determination is (0.31)(0.31) or (0.31)²=0.10
C.
There is a positive association between the two because r is positive but the strength is weak. The percentage would be 10%
47. A. there is a direct relationship between the median age and the population because the coefficient is positive.
.
B. the correlation coeffieciant is r= 11.934/(9)(2.207)(1.330)=0.452
C. his means that when ever there is an increase of 1million in the population that the median age increases also by 0.272.
D. 31.4 + 0.272(2.5)= 32.08 for the median age.
E. Im not exactly sure but I think it means thatp value is 0.190
F. DF=10-2=8
0.452√10-2/√1-(0.452)²=1.433
I believe with the .10 significance level you would not reject the H₀ 