Prices and carats of 78 Prinicess cut loose diamonds from Brilliance.com.  Prices ranged from $1,000 to $2,000.  Carats ranged from 0.50 to 0.75.  While I did not share, the diamonds are Color grades D, E, or F, and Clarity grades VVS1 and VVS2. Please show all work. Interpret b0 in the context of this problem.  Interpret b1 in the context of this problem.  What percent of total variation in prices is explained by the regression model? Provide evidence to support your answer.  Price Carats 1005 0.53 1021 0.52 1044 0.50 1077 0.51 1086 0.50 1107 0.50 1115 0.51 1115 0.50 1274 0.50 1307 0.50 1508 0.52 1683 0.70 1757 0.60 1924 0.70 1987 0.72 1971 0.70 1955 0.75 1924 0.70 1854 0.66 1823 0.70 1823 0.54 1724 0.60 1724 0.60 1713 0.61 1669 0.71 1656 0.70 1656 0.70 1656 0.70 1648 0.60 1626 0.60 1589 0.50 1575 0.60 1568 0.64 1552 0.61 1533 0.53 1529 0.61 1522 0.61 1508 0.52 1463 0.56 1443 0.63 1088 0.75 1840 0.71 1934 0.70 1957 0.62 1570 0.74 1076 0.64 1983 0.66 1051 0.70 1309 0.57 1025 0.60 1472 0.57 1153 0.52 1494 0.60 1012 0.63 1764 0.62 1646 0.63 1974 0.63 1660 0.57 1128 0.67 1872 0.58 1511 0.53 1902 0.55 1335 0.60 1613 0.65 1175 0.75 1026 0.61 1640 0.68 1903 0.66 1308 0.70 1829 0.59 1533 0.56 1398 0.75 1566 0.67 1093 0.70 1210 0.61 1861 0.72 1902 0.71 1382 0.72

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Prices and carats of 78 Prinicess cut loose diamonds from Brilliance.com.  Prices ranged from $1,000 to $2,000.  Carats ranged from 0.50 to 0.75.  While I did not share, the diamonds are Color grades D, E, or F, and Clarity grades VVS1 and VVS2. Please show all work.

  1. Interpret b0 in the context of this problem. 
  2. Interpret b1 in the context of this problem. 
  3. What percent of total variation in prices is explained by the regression model? Provide evidence to support your answer. 
Price Carats
1005 0.53
1021 0.52
1044 0.50
1077 0.51
1086 0.50
1107 0.50
1115 0.51
1115 0.50
1274 0.50
1307 0.50
1508 0.52
1683 0.70
1757 0.60
1924 0.70
1987 0.72
1971 0.70
1955 0.75
1924 0.70
1854 0.66
1823 0.70
1823 0.54
1724 0.60
1724 0.60
1713 0.61
1669 0.71
1656 0.70
1656 0.70
1656 0.70
1648 0.60
1626 0.60
1589 0.50
1575 0.60
1568 0.64
1552 0.61
1533 0.53
1529 0.61
1522 0.61
1508 0.52
1463 0.56
1443 0.63
1088 0.75
1840 0.71
1934 0.70
1957 0.62
1570 0.74
1076 0.64
1983 0.66
1051 0.70
1309 0.57
1025 0.60
1472 0.57
1153 0.52
1494 0.60
1012 0.63
1764 0.62
1646 0.63
1974 0.63
1660 0.57
1128 0.67
1872 0.58
1511 0.53
1902 0.55
1335 0.60
1613 0.65
1175 0.75
1026 0.61
1640 0.68
1903 0.66
1308 0.70
1829 0.59
1533 0.56
1398 0.75
1566 0.67
1093 0.70
1210 0.61
1861 0.72
1902 0.71
1382 0.72

 

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