3. Table 1 shows the median rent per m² in Berlin, for each of the 12 districts, and for all market segments, for the years 2020 (variable ✗) and 2021 (variable Y). For these data, the following is known: 12 IM i=1 (b) 12 12 12 12 for π; = 124.31, Σy = 127.93, Στ = 1326.6657, Σy = 1408.3461, Σriyi = 1365.7266 i=1 Calculate and y. 2=1 i=1 i=1 Calculate the sample variance for X and Y. Hint: For the sample variance the following formula holds: (c) (d) n Σ? - 2 Σ + n n 1 S = n-1 i=1 i=1 Calculate the sample standard deviation for X and Y. Calculate the covariance and the correlation coefficient. Recall: The formula for the correlation coefficient is suitable SXY TXY = SXSY

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3. Table 1 shows the median rent per m² in Berlin, for each of the 12 districts, and for all market
segments, for the years 2020 (variable ✗) and 2021 (variable Y).
For these data, the following is known:
12
IM
i=1
(b)
12
12
12
12 for
π; = 124.31, Σy = 127.93, Στ = 1326.6657, Σy = 1408.3461, Σriyi = 1365.7266
i=1
Calculate and y.
2=1
i=1
i=1
Calculate the sample variance for X and Y. Hint: For the sample variance
the following formula holds:
(c)
(d)
n
Σ? - 2 Σ + n
n
1
S
=
n-1
i=1
i=1
Calculate the sample standard deviation for X and Y.
Calculate the covariance and the correlation coefficient.
Recall: The formula for the correlation coefficient is
suitable
SXY
TXY =
SXSY
Transcribed Image Text:3. Table 1 shows the median rent per m² in Berlin, for each of the 12 districts, and for all market segments, for the years 2020 (variable ✗) and 2021 (variable Y). For these data, the following is known: 12 IM i=1 (b) 12 12 12 12 for π; = 124.31, Σy = 127.93, Στ = 1326.6657, Σy = 1408.3461, Σriyi = 1365.7266 i=1 Calculate and y. 2=1 i=1 i=1 Calculate the sample variance for X and Y. Hint: For the sample variance the following formula holds: (c) (d) n Σ? - 2 Σ + n n 1 S = n-1 i=1 i=1 Calculate the sample standard deviation for X and Y. Calculate the covariance and the correlation coefficient. Recall: The formula for the correlation coefficient is suitable SXY TXY = SXSY
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