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
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Prices and carats of 78 Prinicess cut loose diamonds from Brilliance.com. Prices
- 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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