<p>Algebra U13 HW DAY 10 CORRELATION 1. Below there are six scatter plots, six correlation coefficients, and six terms. Match the appropriate r-value with the scatter plot it most likely corresponds to. Then match the term you think is most appropriate to the r-value as well (not to the graph).</p><p> r = 1.0 Weak Negative</p><p> r = 0.35 Perfect Positive</p><p> r = -0.82 Strong Positive</p><p> r = 0 Weak Positive</p><p> r = -0.56 Moderate Negative</p><p> r = 0.93 No Correlation 2. The scatter plot displays data on the number of defects per 100 cars and a measure of customer satisfaction (on a scale from 1 to 1000, with higher scores indicating greater satisfaction) for the 33 brands of cars sold in the United States in 2009. </p><p>Which value below could represent the correlation coefficient for this data set?</p><p>(1) r = -0.95 (2) r = -0.24 (3) r = 0.83 (4) r = 1.00</p><p>Explain your reasoning for choosing your answer.</p><p>3. Which scatterplot below shows the strongest linear relationship? Explain </p><p>4. For each of the following residual plots, indicate whether the values would be better represented by a linear or a non-linear relationship. Justify your answer. 5. Which situation describes a correlation that is not a causal relationship?</p><p>(1) The length of the edge of a cub and the volume of the cube (2) The distance traveled and the time spent driving (3) The age of a child and the number of siblings that child has (4) The number of classes taught in a school and the number of teachers employed</p><p>6. Which statistics would indicate that a linear function would not be a good fit to model a data set?</p><p>(1) r = -0.93 (2) r=1 (3) (4) </p><p>7. The two-way table below represents clubs that students participate in at school.</p><p>What is the marginal relative frequency of the number of males and females that played in the Jazz Band?</p><p>(1) 8% (2) 18% (3) 10% (4) 12%</p><p>8. The relationship between t, a student’s test scores, and d, the student’s success in college, is modeled by the equation d  0.48t  75.5 . Based on this linear regression model, the correlation coefficient could be (1) Between -1 and 0 (3) equal to -1 (2) Between 0 and 1 (4) equal to 0</p>