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c. Perusahaan Jamu Adem Ayem Slawi ingin membuktikan hubungan minat konsumen terhadap pembelian barang. Dengan taraf signifikansi (alpha=0,05) data seperti Tabel 89. Tabel 89 : Data Minat konsumen (X) dengan Pembelian Barang (Y) No X Y 1 75 77 2 60 87 3 80 84 4 70 72 5 75 81 No X Y 6 74 81 7 77 76 8 60 70 9 88 80 10 80 82 No X Y 11 79 72 12 75 76 13 70 77 14 78 81 15 71 72 Pertanyaan : Berapakah besar hubungan minat konsumen terhadap pembelian barang? Berapakah besar kontribusi variabel minat konsumen terhadap pembelian barang? Buktikan ! Apakah ada korelasi yang signifikan antara minat konsumen (X) terhadap pembelian barang (Y) ?

c. Perusahaan Jamu Adem Ayem Slawi ingin membuktikan hubungan minat konsumen terhadap pembelian barang. Dengan taraf signifikansi (α=0,05) (\alpha=0,05) data seperti Tabel 8989.\newlineTabel 8989 : Data Minat konsumen (X)\newlinedengan Pembelian Barang (Y) (Y) \newline\begin{tabular}{|c|c|c|}\newline\hline No & X \mathbf{X} & Y \mathbf{Y} \\\newline\hline 1 \mathbf{1} & 7575 & 7777 \\\newline\hline 22 & 6060 & 8787 \\\newline\hline 33 & 8080 & 8484 \\\newline\hline 44 & 7070 & 7272 \\\newline\hline 55 & 7575 & 8181 \\\newline\hline\newline\end{tabular}\newline\begin{tabular}{|c|c|c|}\newline\hline No & X \mathbf{X} & Y \mathbf{Y} \\\newline\hline 66 & 7474 & 8181 \\\newline\hline 77 & 7777 & 7676 \\\newline\hline 88 & 6060 & 7070 \\\newline\hline 99 & 8888 & 8080 \\\newline\hline 1010 & 8080 & 8282 \\\newline\hline\newline\end{tabular}\newline\begin{tabular}{|c|c|c|}\newline\hline No & X \mathbf{X} & Y \mathbf{Y} \\\newline\hline 1111 & 7979 & 7272 \\\newline\hline 1212 & 7575 & 7676 \\\newline\hline 1313 & 7070 & 7777 \\\newline\hline 1414 & 7878 & 8181 \\\newline\hline 1515 & 7171 & 7272 \\\newline\hline\newline\end{tabular}\newlinePertanyaan :\newline11) Berapakah besar hubungan minat konsumen terhadap pembelian barang?\newline22) Berapakah besar kontribusi variabel minat konsumen terhadap pembelian barang?\newline33) Buktikan ! Apakah ada korelasi yang signifikan antara minat konsumen (X) (X) terhadap pembelian barang (Y) (Y) ?

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Q. c. Perusahaan Jamu Adem Ayem Slawi ingin membuktikan hubungan minat konsumen terhadap pembelian barang. Dengan taraf signifikansi (α=0,05) (\alpha=0,05) data seperti Tabel 8989.\newlineTabel 8989 : Data Minat konsumen (X)\newlinedengan Pembelian Barang (Y) (Y) \newline\begin{tabular}{|c|c|c|}\newline\hline No & X \mathbf{X} & Y \mathbf{Y} \\\newline\hline 1 \mathbf{1} & 7575 & 7777 \\\newline\hline 22 & 6060 & 8787 \\\newline\hline 33 & 8080 & 8484 \\\newline\hline 44 & 7070 & 7272 \\\newline\hline 55 & 7575 & 8181 \\\newline\hline\newline\end{tabular}\newline\begin{tabular}{|c|c|c|}\newline\hline No & X \mathbf{X} & Y \mathbf{Y} \\\newline\hline 66 & 7474 & 8181 \\\newline\hline 77 & 7777 & 7676 \\\newline\hline 88 & 6060 & 7070 \\\newline\hline 99 & 8888 & 8080 \\\newline\hline 1010 & 8080 & 8282 \\\newline\hline\newline\end{tabular}\newline\begin{tabular}{|c|c|c|}\newline\hline No & X \mathbf{X} & Y \mathbf{Y} \\\newline\hline 1111 & 7979 & 7272 \\\newline\hline 1212 & 7575 & 7676 \\\newline\hline 1313 & 7070 & 7777 \\\newline\hline 1414 & 7878 & 8181 \\\newline\hline 1515 & 7171 & 7272 \\\newline\hline\newline\end{tabular}\newlinePertanyaan :\newline11) Berapakah besar hubungan minat konsumen terhadap pembelian barang?\newline22) Berapakah besar kontribusi variabel minat konsumen terhadap pembelian barang?\newline33) Buktikan ! Apakah ada korelasi yang signifikan antara minat konsumen (X) (X) terhadap pembelian barang (Y) (Y) ?
  1. Calculate Correlation Coefficient: First, we need to calculate the correlation coefficient rr between XX and YY using the formula for Pearson's correlation coefficient.
  2. Sum X and Y: Sum up all the X values and all the Y values.\newlineSum of X = 75+60+80+70+75+74+77+60+88+80+79+75+70+78+71=108275 + 60 + 80 + 70 + 75 + 74 + 77 + 60 + 88 + 80 + 79 + 75 + 70 + 78 + 71 = 1082\newlineSum of Y = 77+87+84+72+81+81+76+70+80+82+72+76+77+81+72=114877 + 87 + 84 + 72 + 81 + 81 + 76 + 70 + 80 + 82 + 72 + 76 + 77 + 81 + 72 = 1148
  3. Sum of Products of X and Y: Calculate the sum of the products of X and Y for each pair.\newlineSum of XY = (75×77)+(60×87)+(80×84)+(70×72)+(75×81)+(74×81)+(77×76)+(60×70)+(88×80)+(80×82)+(79×72)+(75×76)+(70×77)+(78×81)+(71×72)=101,394(75\times77) + (60\times87) + (80\times84) + (70\times72) + (75\times81) + (74\times81) + (77\times76) + (60\times70) + (88\times80) + (80\times82) + (79\times72) + (75\times76) + (70\times77) + (78\times81) + (71\times72) = 101,394
  4. Sum of Squares of X and Y: Calculate the sum of the squares of XX and the sum of the squares of YY.
    Sum of X2X^2 = (752)+(602)+(802)+(702)+(752)+(742)+(772)+(602)+(882)+(802)+(792)+(752)+(702)+(782)+(712)=83,539(75^2) + (60^2) + (80^2) + (70^2) + (75^2) + (74^2) + (77^2) + (60^2) + (88^2) + (80^2) + (79^2) + (75^2) + (70^2) + (78^2) + (71^2) = 83,539
    Sum of Y2Y^2 = (772)+(872)+(842)+(722)+(812)+(812)+(762)+(702)+(802)+(822)+(722)+(762)+(772)+(812)+(722)=85,214(77^2) + (87^2) + (84^2) + (72^2) + (81^2) + (81^2) + (76^2) + (70^2) + (80^2) + (82^2) + (72^2) + (76^2) + (77^2) + (81^2) + (72^2) = 85,214
  5. Plug into Formula: Now plug these values into the Pearson's correlation coefficient formula:\newliner=n(∑XY)−(∑X)(∑Y)[n(∑X2)−(∑X)2][n(∑Y2)−(∑Y)2]r = \frac{n(\sum XY) - (\sum X)(\sum Y)}{\sqrt{[n(\sum X^2) - (\sum X)^2][n(\sum Y^2) - (\sum Y)^2]}}\newlineWhere nn is the number of pairs, which is 1515.
  6. Calculate Numerator: Calculate the numerator of the correlation coefficient formula:\newlineNumerator = [15(101,394)−(1082)(1148)][15(101,394) - (1082)(1148)]\newlineNumerator = 1,520,910−1,242,2161,520,910 - 1,242,216\newlineNumerator = 278,694278,694
  7. Calculate Denominator: Calculate the denominator of the correlation coefficient formula:\newlineDenominator = [15(83,539)−(1082)2][15(85,214)−(1148)2]\sqrt{[15(83,539) - (1082)^2][15(85,214) - (1148)^2]}\newlineDenominator = [1,253,085−1,170,724][1,278,210−1,318,304]\sqrt{[1,253,085 - 1,170,724][1,278,210 - 1,318,304]}\newlineDenominator = [82,361][−40,094]\sqrt{[82,361][-40,094]}

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