Problem 1. Construct a scatter diagram using the data table to the right. This data is from a study comparing the amount of tar and carbon monoxide (CO) in cigarettes. Use tar for the horizontal scale and use carbon monoxide (CO) for the vertical scale. Determine whether there appears to be a relationship between cigarette tar and CO. Tar CO 16 15 15 15 1 13 14 5 7 17 18 8 11 10 12 18 18 10 11 2 3 16 15 6 7 15 14 13 12Problem 2. For a data set of chest sizes (distance around chest in inches) and weights (pounds) of eight anesthetized bears that were measured, the linear correlation coefficient is r=0.969. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation? Number of Pairs of Data n Critical Value of r 4 0.950 0.878 6 0.811 7 0.754 0.707 9 0.666 10 0.632 11 0.602 12 0.576Scatterplot 1 Scatterplot 2 Scatterplot 3 o 8- O 2- 0.2 04 06 08 1 02 04 06 08 02 04 06 08 Scatterplot 4 Scatterplot 5 -2 2- 02 04 06 08 02 04 06 08Problem 4. Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, with x representing the ratings and y representing price, we find that the regression equation has a slope of 125 and a y-intercept of -159. a. What is the equation of the regression line? b. If x = -2.3, find pFor each problem write the corresponding formula that you will be using. Please show your work for full points. Problem 5: Listed below are selling prices (dollars) of TVs that are 60 inches or larger and rated as a "best buy" by Consumer Reports magazine. Find minimum value, maximum value, mean, median, mode and midrange. Are the resulting statistics representative of the population of all TVs that are 60 inches and larger? If you decide to buy one of these TVs, what statistic is most relevant, other than the measures of central tendency? 1800 1500 1200 1500 1400 1600 1500 950 1600 1150 1500 1750 1300 Problem 6: Listed below are pulse rates (beats per minute) from samples of adult males and females. Does there appear to be a difference? In other words, find the Mean, Median and the compare the results. Male: 86 72 64 72 72 54 66 56 80 72 64 64 96 58 66 Female: 64 84 82 70 74 86 90 88 90 90 94 68 90 82 80 Problem 7: Below is given the table of: Age of best actress who won an Oscar and their frequency. And the table of Blood platelet counts of blood cells in females and their frequency. Find the mean for both tables below: Age Frequency Blood Platelet Frequency 20-29 29 100 - 199 25 30 - 39 34 200 -299 92 40 - 49 14 300 - 399 28 50 - 59 3 400 -499 0 60 - 69 5 500 - 599 2 70- 79 80 - 89