Q statistcs and probablity

[8 marks] Dance Life Studio is a famous dance studio that offers wide variety of classes in different disciplines and level of technique. The marketing team is currently working on new campaign. As part of the research, the team examined the relationship between the dancer's age and the number of hours he/she dances per week. The data is presented below: Dance hours Dancer's age per week Dancer 1 8 7 Dancer 2 14 16 Dancer 3 13 16 Dancer 4 19 21 Dancer 5 14 22 Dancer 6 9 9 Dancer 7 7 15 Dancer 8 8 22 Based on this data, the team determined that the standard error of the estimate is 5.30 and constructed the following equation: Y' = 7.99 + 0.70(X). Required: Construct a 95% prediction interval for the number of hours per week an 11-year old dancer would dance