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 12 7 13 17 Money 24 13 58 41 38 76 55 9 22 22 18 15 58 54 a. Find the correlation coefficient: >= b. The null and alternative hypotheses for correlation are: Ho:?✓=0 H₁: ? #0 The p-value is: Round to 2 decimal places. (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 amount of time customers spend at the store and the amount of money that they spend at the store. Thus, the use of the regression line is not appropriate. 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 useful. O There is statistically significant 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 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. d. The equation of the linear regression line is: ŷ= (Please show your answers to two decimal places) e. Use the model to predict the amount of money spent by a customer who spends 3 minutes at the store. Dollars spent = (Please round to two decimal places.) f. Interpret the slope of the regression line in the context of the question: O The slope has no practical meaning since you cannot predict what any individual customer will spend. For every additional minute customers spend at the store, they tend to spend on averge $2.92 more money at the store. O As x goes up, y goes up. g. Interpret the y-intercept in the context of the question: O The y-intercept has no practical meaning for this study. The average amount of money spent is predicted to be $2.61. O If a customer spends no time at the store, then that customer will spend $2.61. The best prediction for a customer who doesn't spend any time at the store is that the customer will spend $2.61.