a-1. Calculate the sample correlation coefficient. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) a-2. Interpret the sample correlation coefficient between the number of rainy days and crime. multiple choice 1 The correlation coefficient indicates a positive linear relationship. The correlation coefficient indicates a negative linear relationship. Correct The correlation coefficient indicates no linear relationship. b. Specify the competing hypotheses in order to determine whether the population correlation coefficient between the number of rainy days and crime is negative. multiple choice 2 H0: ρxy ≥ 0; HA: ρxy < 0 Correct H0: ρxy ≤ 0; HA: ρxy > 0 H0: ρxy = 0; HA: ρxy ≠ 0 c-1. Calculate the value of the test statistic.
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.
Answer A-1 and C-1 Please
In June 2009, an onslaught of miserable weather in New England played havoc with people’s plans and psyches. However, the dreary weather brought a quiet benefit to many city neighborhoods. Police reported that the weather was a key factor in reducing fatal and nondeadly shootings (The Boston Globe, July 3, 2009). For instance, it rained in Boston on 22 days in June, when 15 shootings occurred. In 2008, the city saw rain on only eight days, and 38 shootings occurred. The table below shows the number of rainy days and the number of shootings that occurred in June from 2005 to 2009. [You may find it useful to reference the t table.]
| Number of Rainy Days | Number of Shootings | |||||
| June 2005 | 7 | 31 | ||||
| June 2006 | 15 | 46 | ||||
| June 2007 | 10 | 29 | ||||
| June 2008 | 8 | 38 | ||||
| June 2009 | 22 | 15 | ||||
SOURCE: The Boston Globe, July 3, 2009.
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a-1. Calculate the sample
a-2. Interpret the sample correlation coefficient between the number of rainy days and crime.
multiple choice 1
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The correlation coefficient indicates a positive linear relationship.
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The correlation coefficient indicates a negative linear relationship. Correct
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The correlation coefficient indicates no linear relationship.
b. Specify the competing hypotheses in order to determine whether the population correlation coefficient between the number of rainy days and crime is negative.
multiple choice 2
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H0: ρxy ≥ 0; HA: ρxy < 0 Correct
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H0: ρxy ≤ 0; HA: ρxy > 0
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H0: ρxy = 0; HA: ρxy ≠ 0
c-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
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