Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 116 266 2 111 282 3 87 282 4 78 276 5 111 284 6 75 270 7 70 290 8 95 277 Using games won as the explanatory variable ?x, do the following:  (a) The correlation coefficient is r= . (b) The equation of the least squares line is y^=

Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below. Does an employee’s attitude affect their job performance?   Performance 59 63 65 69 58 77 76 69 70 64 Attitude 72 67 78 82 75 87 92 83 87 78   Calculate the correlation coefficient, r, and describe the relationship, if any, between the variables   11.659, positive linear 4.837, positive linear 0.863, positive linear 0.745, positive linear 0.0013, positive linear

What is the relationship between the number of minutes per day a woman spends talking on the phone and the woman's weight? The time on the phone and weight for 7 women are shown in the table below. Time 14 40 24 76 74 87 84 Pounds 124 122 116 178 181 174 167 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? ▼ Hj: ? v The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that there is a correlation between the time women spend on the phone and their weight. Thus, the use of the regression line is not appropriate. O There is statistically insignificant evidence to conclude that a woman who spends more time on the phone will weigh more than a woman who spends less time on the phone. O There is statistically significant evidence to…

A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 21 19 23 25 17 12 19 Money 106 80 87 96 80 39 92 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Họ: ? H1: ? v + O The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. O There is statistically significant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at the store. Thus, the regression line is…