Question

PLEASE HELP IM REALLY SICK AND CAN THINK SO HELP MEEEE

Answer 1

• A. y = 91.1765x - 346.5708
• B. 64 lbs

Explanation:

Part A

Use the data in the table to get the best fit line, with equation:

• y = mx + b

To do so follow the steps:

1. Let the Height be x and the Weight be y

Sum x and y

• ∑x = 5.3 + 5.4 + 5.3 + 6 = 22
• ∑y = 140 + 150 + 130 + 200 = 620

2. Sum x² and xy

• ∑x² = 5.3² + 5.4² + 5.3² + 6² = 121.34
• ∑xy = 5.3*140 + 5.4*150 + 5.3*130 + 6*200 = 3441

3. Calculate m, considering n = 4 (number of data values)

• m = (n∑xy -∑x∑y)/(n∑x² - (∑x)²) =
• (4*3441 - 22*620)/(4*121.34 - 22²) =
• 124/1.36 = 91.1765

4. Calculate b:

• b = (∑y - m∑x)/n =
• (620 - 91.1765*22)/4 =
• -1385.883 /4 =
• -346.4708

We got the best line fit formula:

• y = 91.1765x - 346.5708

Part B

Finding y for x = 4.5:

• y = 91.1765*4.5 - 346.5708 = 63.72345 ≈ 64 lbs