Lesson 12.1: Does seat location matter? rating Chart Do students who sit in the front rows do better than students who sit farther away? Mr. Morse took a random sample of 30 students from his classes and found these results. Row 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 Score 76 77 94 99 88 90 83 85 74 79 77 79 90 88 68 78 83 79 Row 4 4 4 4 4 4 5 5 5 5 5 5 Line of best fit: Score 94 72 101 70 63 76 76 65 67 96 79 96 Slope: b = SEb = 1.33 1. If Mr. Morse were to take another random sample of 30 students, do you think the slope of the LSRL would be the same? Why? 2. We are going to construct a 95% confidence interval for the slope of the population regression line. Identify the parameter and statistic. Parameter: Statistic: 3. There are five conditions to check. (1) Linear: The scatterplot needs to show a linear relationship. Also, the residual plot doesn't have a leftover curved pattern. Sketch each at right. (2) Independent: (3) Normal: A dotplot of the residuals cannot show strong skew or outliers. Make one using the applet and sketch it at right. (4) Equal SD: The residual plot does not show a clear sideways Christmas tree pattern. (5) Random: 4. Construct the interval: General Formula: Specific Formula: Work: 5. Conclude