The datafile Gestation06 lists the average gestation period (in days) and longevity (in years) for a sample of animals, as reported in The World Almanac and Book of Facts 2006.Use the least squares line to calculate the fitted value and residual for a polar bear. [Hint: First, find the polar bear's longevity and gestation period in the datafile.]

Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Given the least-squares regression line, , what is the fuel efficiency for a speed of 60 mph? 3.65 mpg 33.90 mpg 36.52 mpg 38.55 mpg

more than others. To investigate, they measured the grey matter density in two regions of the brain that are known to be associated with social perception and memory. They also recorded the number of Facebook friend of each study subject. The scatterplot below shows the relationship between these two variables along with the least squares fit. Note that grey matter density has been reported as a standardized z-score for each individual. Do not round in intermediate calculations for this problem. Round your results to 4 decimal places except where indicated below. -2 -1 1 Grey Matter Density 002 009 00s 007 001 Facebook Friends

A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x= 3.3333, s= 2.5033, y = 4.0667, s, = 1.9449, and r= - 0.9585, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 3 4 5.8 6.3 5.1 3.4 1.8 2.0 重 (a) Choose the correct graph below. OA. O B. OD. 本y 7- Ay 本y 7- AY 7- 0- 0. 0- 0. 6. There appears to be relationship. (b) ŷ =[]x+ (D (Round to three decimal places as needed.) (c) Choose the correct graph below. O A. О В. OC. O D. Ay 7- Ay 7- 0- 0. 9. 6. O Time Remaining: D TCOA2334403 U 10-8-2014 MAIN TCOA2330401 (2) Q 出

Based on the chart (attached) Calculate the sum of squares (SS) for overall grade average using the definitional formula

A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x= 3.6667, sy = 2.2509, y= 3.6833, s, = 1.8809, and r= - 0.9511, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 1 4 4 6 6 y 5.0 6.3 4.2 3.4 1.4 1.8 (a) Choose the correct graph below. OA. B. OC. OD. Ay 74 Ay Ay 7- .. .. There appears to be a linear, negative relationship. (b) y=x+ O (Round to three decimal places as needed.) (c) Choose the correct graph below. O A. B. OC. D. Ay 0-

A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y (b) Given that x =3.5000, s, = 2.2583, y = 4.4667, s, = 1.7682, and r= -0.9416, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 6 3 4 5.4 68 5.6 4.0 2.3 2.7 1 y (a) Choose the correct graph below. O A Oc. Q There appears to be V relationship (b) y=+ O (Round to three decimal places as needed.) (c) Choose the correct graph below. O A OB. OC. OD.

Students in an AP Statistics class wanted to determine if a person's hand span is associated with the number of candies he or she can pick up from a bowl of candy. For the fourteen students in the class, each student's hand span and the number of candies he or she was able to pick up was recorded. A least- squares analysis was conducted on the number of candies versus hand span. The conditions for inference were checked and deemed reasonable. The regression analysis output is given in the table below. Predictor Constant Coef -8.74 SE Coef 10.81 T -0.81 P 0.434 Hand span 1.26 0.52 2.44 0.031 S=3.34 R-Sq = 33.1% 39. The estimate of the slope of the least-squares regression line using a 95% confidence interval is (A) 1.26 ± 2.18(0.52) (B) 1.26 ± 2.44(0.52) (C) 1.26 ± 2.18 ( (0.521 (D) 1.26 ± 1.96(0.52) (E) 1.26 ± 3.34 (0.52) √14

A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0​ (poorest rating) to 9​ (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year​ 2020, the engineers forecast that 6​% of all major bridges in that city will have ratings of 4 or below. Complete parts a and b.       a. Use the forecast to find the probability that in a random sample of 7 major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020. P(x≥​3)=

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