The systolic blood pressure of individuals is thought to be related to both age and weight. For a random sample of 11 men, the following data were obtained. Systolic Blood pressue x1 Age (years) x2 Weight (pounds) x3 132 52 173 143 59 184 153 67 194 162 73 211 154 64 196 168 74 220 137 54 188 149 61 188 159 65 207 128 46 167 166 72 217  a) For each pair of variables, generate the correlation coefficient r. Compute the corresponding coefficient of determination r2. (Use 3 decimal places.)   r r2 x1, x2     x1, x3     x2, x3       b) What percent of the variation in x1 can be explained by the corresponding variation in x2? Answer the same question for x3. (Use 1 decimal place.) x2  _____% x3  _____% (c) Perform a regression analysis with x1 as the response variable. Use x2 and x3 as explanatory variables. Look at the coefficient of multiple determination. What percentage of the variation in x1 can be explained by the corresponding variations in x2 and x3 taken together? (Use 1 decimal place.) _____ %

The following table compares the completion percentage and interception percentage of 55 NFL quarterbacks. Completion Percentage 58 59 62 65 66 Interception Percentage 4.5 4 3 2.5 1.5 Copy Data Determine if r is statistically significant at the 0.01 level.   Yes or No? the correlation coefficient is/ is not statistically significant.

In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. x 0.243 0.245 0.286 0.263 0.268 0.339 0.299 y 1.0 3.3 5.5 3.8 3.5 7.3 5.0 A) Compute r. (Round your answer to three decimal places.) B) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.

The scatter plot above displays data on the number of defects per 100 cars and a measure of customer satisfaction (on a scale from 1 to 1000, with the highest scores indicating greater satisfaction) for the 33 brands of cars sold in the United States in 2009. Which of the following is the value of the correlation coefficient for this data set?   A) r = -0.95 B) r = -0.24 C) r = 0.83 D) r = 1.00

A random sample of ten professional athletes produced the following data.  The first row is the number of endorsements the athlete has and the second row is the amount of money made (in millions of dollars) by the athlete.    What is the linear correlation coefficient?  Round to three decimal places. Number of Endorsements  0  3  2  1  5  5  4  3  0  4  Profit (in Millions)  2  8  7  3  13  12  9  9  3  10

Listed below are annual data for various years. The data are the numbers of cars sold (thousands) and the numbers of points scored in the Super Bowl. Construct a scatterplot, find the value of the linear correlation coefficient r and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between those two variables? Would it be reasonable to expect a correlation? Car Sales 8170 8220 8510 9000 8640 8526 8273 8144 Super Bowl Points 61 70 42 76 45 55 55 53 What are the null and alternative hypotheses? OA. Ho p=0 H₁: p>0 OC. Ho p=0 H₁: p<0 Construct a scatterplot. Choose the correct graph below. OA. 100- 8000 Car Sales 9000 The linear correlation coefficient is r= 0.193 (Round to three decimal places as needed.) The test statistic is t=0.48. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) OB. Ho: p#0 H₁: p=0 D. Ho: p=0 H₁: p 0 O B. ○ D. 100- Q 100- Q 100+ Q 50- 0+ 8000 9000 Car Sales…

The blood pressure measurements of a single patient were taken by twelve different medical students and the results are listed below. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between systolic measurements and diastolic measurements? systolic (x) diastolic (y) 137 133 139 119 122 121 127 132 130 143 141 137 95 93 100 80 88 80 82 84 81 98 103 94 С. Но: р#0 D. Ho: p=0 H1:p=0 H1:p#0 Construct a scatterplot. Choose the correct graph below. O A. ОВ. C. D. Ay 160- Ay 160- 160- 160- 120- 120- 120- 120- 80- 80- 80- 80- O. 40- 40- 40- 40- X X 0- 0- O 40 80 120 160 0- 0- 40 80 120 160 40 80 120 160 40 80 120 160 The linear correlation coefficient r is (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there sufficient evidence to support the…