Please solve f-g ● Question 12A 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 surveyare shown below.# 3Time 15 21 6 23 16 15 26 6Money 47 75 39 67 69 42 8131a. Find the correlation coefficient: r = 0.90b. The null and alternative hypotheses for correlation are:Ho: P = 0H₁: p0The p-value is: 0.0025 (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 contextof the study.80F3There is statistically significant evidence to conclude that a customer who spends more timeat 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 timeat 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 there is a correlation between theamount of time customers spend at the store and the amount of money that they spend at thestore. Thus, the use of the regression line is not appropriate.O There is statistically significant evidence to conclude that there is a correlation between theamount of time customers spend at the store and the amount of money that they spend at thestore. Thus, the regression line is useful.d. ² = 0.81(Round to two decimal places)e. Interpret ²:There is a 81% chance that the regression line will be a good predictor for the amount ofmoney spent at the store based on the time spent at the store.81% of all customers will spend the average amount of money at the store.O Given any group that spends a fixed amount of time at the store, 81% of all of those customerswill spend the predicted amount of money at the store.$Round to 2 decimal places.O There is a large variation in the amount of money that customers spend at the store, but if youonly look at customers who spend a fixed amount of time at the store, this variation onaverage is reduced by 81%.4F4%5F56MacBook AirF6&7AAF7* 008DIIF8(9F90 store. Thus, the use of the regression line is not appropriate.O There is statistically significant evidence to conclude that there is a correlation between theamount of time customers spend at the store and the amount of money that they spend at thestore. Thus, the regression line is useful.d. r² = 0.81(Round to two decimal places)e. Interpret ²:There is a 81% chance that the regression line will be a good predictor for the amount ofmoney spent at the store based on the time spent at the store.81% of all customers will spend the average amount of money at the store.Given any group that spends a fixed amount of time at the store, 81% of all of those customerswill spend the predicted amount of money at the store.O There is a large variation in the amount of money that customers spend at the store, but if youonly look at customers who spend a fixed amount of time at the store, this variation onaverage is reduced by 81%.f. The equation of the linear regression line is:ŷ =g. Use the model to predict the amount of money spent by a customer who spends 20 minutes at thestore.Dollars spent =(Please round your answer to the nearest whole number.)80(Please show your answers to two decimal places)h. Interpret the slope of the regression line in the context of the question:O For every additional minute customers spend at the store, they tend to spend on averge $2.30more money at the store.O The slope has no practical meaning since you cannot predict what any individual customer willspend.O As x goes up, y goes up.i. Interpret the y-intercept in the context of the question:Olf a customer spends no time at the store, then that customer will spend $19.57.O The average amount of money spent is predicted to be $19.57.O The best prediction for a customer who doesn't spend any time at the store is that thecustomer will spend $19.57.O The y-intercept has no practical meaning for this study.000000MacBook AirDIIDD

Question

Please solve f-g ● Question 12A 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 surveyare shown below.# 3Time 15 21 6 23 16 15 26 6Money 47 75 39 67 69 42 8131< >a. Find the correlation coefficient: r = 0.90b. The null and alternative hypotheses for correlation are:Ho: P = 0H₁: p0The p-value is: 0.0025 (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 contextof the study.80F3There is statistically significant evidence to conclude that a customer who spends more timeat 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 timeat 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 there is a correlation between theamount of time customers spend at the store and the amount of money that they spend at thestore. Thus, the use of the regression line is not appropriate.O There is statistically significant evidence to conclude that there is a correlation between theamount of time customers spend at the store and the amount of money that they spend at thestore. Thus, the regression line is useful.d. ² = 0.81(Round to two decimal places)e. Interpret ²:There is a 81% chance that the regression line will be a good predictor for the amount ofmoney spent at the store based on the time spent at the store.81% of all customers will spend the average amount of money at the store.O Given any group that spends a fixed amount of time at the store, 81% of all of those customerswill spend the predicted amount of money at the store.$Round to 2 decimal places.O There is a large variation in the amount of money that customers spend at the store, but if youonly look at customers who spend a fixed amount of time at the store, this variation onaverage is reduced by 81%.4F4%5F56MacBook AirF6&7AAF7* 008DIIF8(9F90 store. Thus, the use of the regression line is not appropriate.O There is statistically significant evidence to conclude that there is a correlation between theamount of time customers spend at the store and the amount of money that they spend at thestore. Thus, the regression line is useful.d. r² = 0.81(Round to two decimal places)e. Interpret ²:There is a 81% chance that the regression line will be a good predictor for the amount ofmoney spent at the store based on the time spent at the store.81% of all customers will spend the average amount of money at the store.Given any group that spends a fixed amount of time at the store, 81% of all of those customerswill spend the predicted amount of money at the store.O There is a large variation in the amount of money that customers spend at the store, but if youonly look at customers who spend a fixed amount of time at the store, this variation onaverage is reduced by 81%.f. The equation of the linear regression line is:ŷ =g. Use the model to predict the amount of money spent by a customer who spends 20 minutes at thestore.Dollars spent =(Please round your answer to the nearest whole number.)80(Please show your answers to two decimal places)h. Interpret the slope of the regression line in the context of the question:O For every additional minute customers spend at the store, they tend to spend on averge $2.30more money at the store.O The slope has no practical meaning since you cannot predict what any individual customer willspend.O As x goes up, y goes up.i. Interpret the y-intercept in the context of the question:Olf a customer spends no time at the store, then that customer will spend $19.57.O The average amount of money spent is predicted to be $19.57.O The best prediction for a customer who doesn't spend any time at the store is that thecustomer will spend $19.57.O The y-intercept has no practical meaning for this study.000000MacBook AirDIIDD

Accepted Answer

f)

f. The equation of the linear regression line is: ŷ = (Please show your answers to two decimal places) g. Use the model to predict the amount of money spent by a customer who spends 20 minutes at the store. Dollars spent = (Please round your answer to the nearest whole number.)