Question

The sample data below lists temperature (x) in degrees Fahrenheit and sales (y) in dollars for ten random days at an ice cream shop. The least squares linear model for this data is yˆ = 3.83x + 183.90. Select all valid statements regarding the use of this least squares model.

You must make a selection for each option. Click once to place a check mark for correct answers and click twice to empty the box for the wrong answers.

It is appropriate to use this model to predict the average daily sales on a 91-degree day.

It is appropriate to use this model to predict the average daily sales on a 75-degree day.

It is appropriate to use this model to predict the average daily sales on a 54-degree day.

It is appropriate to use this model to predict the average daily sales on a 22-degree day

Temperature Sales

33 289

39 366

42 376

52 312

62 459

64 437

68 428

71 456

76 454

83 522

Answer 1

The model has a good R squared value of 78.58%.

which means 78.58% of the total variation in the average sale is explained by the temperature.

the model is y = 3.83x + 183.90.

therefore, it is appropriate to use the above model to predict the average daily sales on a 91 degree Fahrenheit day.

also, it is appropriate to use the above model to predict the average daily sales on a 75 degree Fahrenheit day.

also, it is appropriate to use the above model to predict the average daily sales on a 54 degree Fahrenheit day.

also, it is appropriate to use the above model to predict the average daily sales on a 22 degree Fahrenheit day.