33. Describe the key features of each scatterplot in Figure 7.9. 107 Figure 7.9: Key Features of Scatterplots Plot 1 Plot 2 5. 34. A hockey fan was interested in predicting standings points (poits) awarded to teams based on the difference in offensive and defensive scoring rates (differential) for teams in the NHL. 2016-2017 data was obtained for teams in the eastern conference and is provided in the following table. Obs 3 4. 9 10 11 8. 12 13 14 15 16 Pts 65 58 56 55 52 50 49 49 72 68 51 65 63 56 49 49 Diff 25 4. -4 12 -21 -10 -21 -18 54 46 38 -15 31 -14 -31 In addition, a table of summary statistics is provided below. Mean SD Pts 56.6875 7.6657 0.9378 Diff 4.75 26.5393 (a) Identify the explanatory and response variables. (b) Calculate the least squares regression line using formulas. A calculator may be used to check the results if desired. Report your line in context. (c) Interpret the slope in terms of the problem. (d) Interpret the intercept in terms of the problem. Is the interpretation appropriate? Explain. (e) Use the line to predict the standings points awarded for a differential of zero. (f) Find the residual for the team that had a differential of zero. (g) What proportion of variation in points awarded can be explained by the line? Based on this, are you comfortable using the line for prediction? Why or why not? 35. In a study of the legibility and visibility of highway signs, a Pennsylvania research firm determined the maximum distance at which each of thirty drivers could read a newly designed sign. The thirty participants in the study ranged in age from 18 to 82 years old. The government agency that funded the research hoped to improve highway safety for older drivers, and wanted to determine if sign legibility distance changed with age. The correlation between age and distance is -0.8012. 2. 14 008 001

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Q: D Name a secant. E B.

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Q: whay about part d

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A: LCM of two numbers is the smallest number that is divisible by both numbers.

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.