(See Steps) An investigation is taking place to see whether the average price of a particular good in the market predicts the total number of weekly sales.


Question:

An investigation is taking place to see whether the average price of a particular good in the market predicts the total number of weekly sales. 22 observations of average price and total sales have been observed and are given below.

Average Price (£) Total Weekly Sales
20 335
22 328
18 360
21 328
24 296
19 332
20 343
17 373
24 324
23 319
26 292
29 263
28 281
24 307
20 321
21 349
24 309
23 328
19 361
26 292
17 370
23 314
  1. Create a scatterplot of the data.
  2. Fit a linear regression model and derive the relationship between weekly sales and average price.
  3. Calculate the predicted number of sales when average price is £27.
  4. Calculate 99% confidence interval for the change in sales for each £1 increase in the average price.
  5. Calculate the 95% confidence interval for the mean number of sales when average price is £27
  6. Calculate the 95% prediction interval of the number of weekly sales when average price is £27

vii) Explain why you may not be confident predicting a value for the mean number of weekly sales when average price is £45.

Price: $2.99
Solution: The downloadable solution consists of 5 pages
Deliverable: Word Document

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