Question

Calculate the estimated sales for each quarter of the fiscal year and for the year as a whole.

a) 1st quarter: $270,600; 2nd quarter: $292,600; 3rd quarter: $336,600; 4th quarter: $314,600; Year: $1,214,400
b) 1st quarter: $270,600; 2nd quarter: $292,600; 3rd quarter: $336,600; 4th quarter: $314,600; Year: $1,214,400
c) 1st quarter: $240,600; 2nd quarter: $282,600; 3rd quarter: $316,600; 4th quarter: $304,600; Year: $1,144,400
d) 1st quarter: $240,600; 2nd quarter: $282,600; 3rd quarter: $316,600; 4th quarter: $304,600; Year: $1,144,400

Calculate the expected cash collections for each quarter of the fiscal year and for the year as a whole.
a) 1st quarter: $201,450; 2nd quarter: $235,950; 3rd quarter: $258,825; 4th quarter: $259,175; Year: $955,400
b) 1st quarter: $191,450; 2nd quarter: $225,950; 3rd quarter: $248,825; 4th quarter: $249,175; Year: $915,400
c) 1st quarter: $201,450; 2nd quarter: $235,950; 3rd quarter: $258,825; 4th quarter: $259,175; Year: $955,400
d) 1st quarter: $191,450; 2nd quarter: $225,950; 3rd quarter: $248,825; 4th quarter: $249,175; Year: $915,400

Calculate the required production in units of finished goods for each quarter of the fiscal year and for the year as a whole.
a) 1st quarter: 15,860; 2nd quarter: 15,960; 3rd quarter: 16,860; 4th quarter: 17,660; Year: 66,340
b) 1st quarter: 15,860; 2nd quarter: 15,960; 3rd quarter: 16,860; 4th quarter: 17,660; Year: 66,340
c) 1st quarter: 14,860; 2nd quarter: 15,960; 3rd quarter: 16,860; 4th quarter: 17,660; Year: 65,340
d) 1st quarter: 14,860; 2nd quarter: 15,960; 3rd quarter: 16,860; 4th quarter: 17,660; Year: 65,340

Answer 1

To predict the sales for a given day, we apply the regression model by plugging in the day number for 'x'. On day 60, the predicted sales are $250,120, and on day 90, the predicted sales are $324,520.

Step-by-step explanation:

To calculate the predicted sales using the provided regression model „ŷ = 101.32 + 2.48x“, we substitute the day value for x and calculate the result. The model output is given in thousands of dollars, so we need to multiply by 1,000 to get the total sales in dollars.

Predicted sales on day 60:

ŷ = 101.32 + (2.48 × 60) = 101.32 + 148.80 = 250.12 (in thousands)

Sales = 250.12 × 1,000 = $250,120

Predicted sales on day 90:

ŷ = 101.32 + (2.48 × 90) = 101.32 + 223.20 = 324.52 (in thousands)

Sales = 324.52 × 1,000 = $324,520