Q #1

5. [0.95/1.05 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.R.006.5. ologist is int in the relat number of job changes and y = ds of dollars) for people living In the Nashville area. A random sample of 10 people er provided the following infor * (number of lab changes) V rsalary In # 1000) 38 43 37 40 33 A USE SALT In this setting we have Ex - 58, Ty - 366, Ex - 422, Ey - 13,508, and Exy - 2190. (2) Find x, v. b, and the on of the least- wers for x and y to two decim ecimal places.) x - 6.8000 - 26 6000 - 0.7850 - 32 0467 i + 0.7850 (b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (x, y). 10 10 30 10 10 :) Find the sample correlation coefficient r and the coefficient of determination. (Round your anawers to three decimal places.) What percentage of variation In y is explained by the le decimal place.) 46 9 (d) Test the claim that the population correlation coefficient p is positive at the 5%% level of significance. (Round your test statistic to three decimal places.) Find or estimate the Pvalue of the test statistic. O P-value > 0.250 0 0.125 D. O Reject the null hypothesis. There is Insufficient evidence that p > D. O Fall to reject the null hypothesis. There is sufficient evidence that p > 0. O Fail to reject the null hypothesis. There is insufficient evidence that p > 0. (e) If someone had * = 9 job changes, what does the least-squares line predict for y, the annual salary? (Round your answer to two decimal places.) 29.11 thousand dollars (f) Find S,. (Round your answer to three decimal places.) 5 - 2730 (g) Find 2 909% confidence interval for the annual salary of an individual with x - 9 job changes. (Round your answers to two decimal places.) lower limit 36.73 * thousand dollars upper limit 41 49 thousand dollars7. [0.15/1.05 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9_R.007. Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following Information for 14 females. x (lb) 20 Vib) 130 In this setting we have Ex - 238, Ty = 1781, DX - 6500, Ey (a) Find x, v. b, and the equation of the lea wers for x and y' to two decimal places. Round your answers for le es to four decimal places.) b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter clagram. Be sure to plot the point (x, y). 150 150 140 140 130 130 130 20 O 15 25 15 25 150 50 140 140- 130 130 30 120 15 25 20 25 30 c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) What percentage of variation In y is explained by the le model? (Found your anew cimal place.) d) Test the claim that the population comes ce. (Round your test statistic to three decimal places.) Find or estimate the P-value of the test statistic. O P-value > 0.250 0 0.125 D. Reject e that p > D. Fall to reject the null hy dence that p > 0. nit evidence that p 2 0.(el If a female baby weighs 17 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.] (f) Find S,. (Round your answer to two decimal places.) 5 - (g) Find a 959% confidence interval for weight at age 30 of a female who weighed 17 pounds at 1 year of age. (Round your answers to two decimal places.) lower limit upper limit (h) Test the daim that the slope # of the population least-squares line is positive at the 1%% level of significance. (Round your best statistic to three decimal places.] Find or estimate the Avalue of the test statistic. O P-value > 0.250 0 0.125 0. " Reject the null hypothesis. There is insufficient evidence that # > 0. D Fail to reject the null hypothesis. There is sufficient evidence that # > 0. Fail to reject the null hypothesis. There is insufficient evidence that / > D. (I) Find an 809% confidence Interval for / and interpret its meaning. [Round your answers to three decimal places.) lower limit upper limit8. [0.1/1.05 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.R.008. Dorothy Kelly sells life Insurance for the Prudence Insurance Company. She sells Insurance by making visits to her clients homes. Dorothy bell y values follow. 1 5 In this setting we have Ex - 248, Ty - 99, Ex - 4832, Ey - 761, and Exy - 1834. (2) Find x, y, b, and answers for x and y to two decir . Round your least-squares estimates to four decimal places.) (b) Draw a scatter diagram displaying the data. Graph the diagram. Be sure to plot the point (x, y). 15/ 15 10 10 10 15 20 25 30 10 15 20 25 30 15 10 10 15 20 25 30 O 10 15 20 25 30 () Find the sample correlation coefficient r and the cooff ermination. (Round your answers to three decimal places.) What percentage of variation in y is explained by the least- iswer to one decimal place.) (d) Test the claim that the population correlation coefficient p is positive at the 1%% level of significance. (Round your test statistic to three decimal places.) t - Find or estimate the Avalue of the test statistic. O P-value > 0.250 0.125 D. D Reject the null hypothesis. There is Insufficient evidence that p > D. " Fail to reject the null hypothesis. There is sufficient evidence that p > 0. O Fall to reject the null hypothesis. There is insufficient evidence that p > 0. (e) In a week during which Dorothy makes 23 visits, how many people do you predict will buy Insurance from her? (Round your answer to one decimal place.) people (f) Find S,. (Round your answer to three decimal places.) So - L (g) Find 2 95%% confidence interval for the number of sales Dorothy would make in a week during which she made 23 visits. (Round your answers to one decimal place.) lower limit sales upper limit sales (h) Test the daim that the slope # of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places.] Find or estimate the P-value of the test statistic. O P-value > 0.250 0 0.125 0. O Reject the null hypothesis. There is insufficient evidence that f > 0. " Fall to reject the null hypothesis. There is sufficient evidence that # > D. O Fall to reject the null hypothesis. There is insufficient evidence that f > 0. (I) Find an 809% confidence interval for / and interpret its meaning. (Round your answers to three dedmal places. ] lower limit upper limit9. [0.15/1.05 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.R.009. MY NOTES ASK YOUR TEACHER PRACTICE AND Each box of Healthy Crunch bre upon entitling you to a free p ackage of garden sends. At the Healthy Crunch home office, they use to ample of 8 days gave the folk data. x (1b) y (Number of employees) | 4 In this setting we have Ex - 125, Ty = 78, - 8BB, and Ixy - 1406. (5) Find x, V. b, and the equation of the leas a decimal places. Round your least timates to four decimal places.) x -C - (b) Draw a scatter diagram displaying the data. Graph the le wares line on your scatter diagram. Be sure to plot the point (x, y). 20 15 10 13 20 15 10 10 10 13 20 25 O 13 c) Find the sample correlation imal places.) What percentage of variation in y is explained by the lea ares model? (Round your answer to one decimal place.) d) Test the claim that the pop And or estimate the A-value of the test statistic. ( Pwvalue > 0.250 O 0.125 0. that p > 0. idence that p > D. Fall to reject the null hypothesis clant evidence that p > D.(e] If Healthy Crunch receives 16 pounds of mall, how many employees should be assigned mall duty that day? (Round your answer to two decimal places.) employees (f) Find S,. (Round your answer to three decimal places.] (g) Find 2 959% for the number of employees required to process mall for 16 pounds of mall. (Round your answer to two decimal places. ) lower limit employers upper limit employers (h) Test the daim that the slope A of the population least-squares line is positive at the 1% level of significance. [Round your test statistic to three decimal places. ) t - Find or estimate the P-value of the test statistic. O P-value > 0.250 0 0.125 D. D Reject the null hypothesis, there is insufficient evidence that # > 0. " Fail to reject the null hypothesis, there is sufficient evidence that p > 0. " Fall to reject the null hypothesis, there is Insufficient evidence that # > 0. (I) Find an 809% confidence Interval for / and interpret its meaning. (Round your answers to three decimal places.) lower limit upper limit10. [0.15/1.05 Points] DETAILS PREVIOUS ANSWERS BOBUNDERSTAT12 9.R.010. Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a random variable representing crime rate (crimes per 1000 population). A random formation. | 171 In this setting we have Ex - 72, Ty - 591, Ex - 1396, Ey - 71,885, and Exy - 9581. d x, y. b, ar ares line. (Round your ans wers for x and y to two decimal places. Round your least-so estimates to four decimal places.) (b) Draw a scatter diagram displaying the data. Graph the Ic plot the point (x, y). 150 150 100 100 5 10 15 20 25 30 5 10 15 20 5 30 35 150 150 Top TOO 10 15 20 25 30 35 5 10 15 20 25 30 c) Find the sample correlation coefficient r and the c mination. (Round your answers to three decimal places.) What percentage of variation In y is explained by the least- imal place.) () Test the claim that the popul three decimal places.) Find or estimate the P-value of the test statistic. P-value > 0.250 0.125 0.250 # 0.125