Question

help on 8 highlight result

Use the following scenario to answer the next four questions. A researcher wants to see how the number of new cars sold (in ten thousands) is related to the company's revenue (in billions). The data obtained from a sample are below. Company A B С D E F Cars (x) 63.0 29.0 20.8 19.1 13.4 8.5 Revenue (y) 7.0 3.9 2.1 2.8 1.4 1.5 Question 5 10 pts Calculate the value of the correlation coefficient,r. Enter this number rounded to three digits after the decimal point. 0.982 Question 6 8 pts Calculate the value of a in the linear regression model y = a + bæ. Round your number to three digits after the decimal point. 0.396

Question 8 6 pts In billions, predict the revenue of a car company that sold 40 (ten thousands) cars. Enter the number rounded to one digit after the decimal point. Do not enter the answer multiplied by one billion.

Answer 1

X 63 29 20.8 19.1 13.4 8.5 Y 7 3.9 2.1 2.8 1.4 1.5 X Y 441 113.1 43.68 53.48 18.76 12.75 X. X 3969 841 432.64 364.81 179.56 72.25 Step 2: Find the sum of every column: x = 153.8, Y = 18.7, x . Y = 682.77, x² = 5859.26

Step 3: Use the following equations to find a and o: α - a 0.396 ΣΥΣΧ2 – ΣΧΣΧΥ 18.7. 5859.26 – 153.8 - 682.77 η-ΣΧ2 – (ΣΧ)? 6 - 5859.26 – 153.82 η ΣΧΥ - ΣΧ.ΣΥ 6 - 682.77 – 153.8. 18.7 0.106 η-ΣΧ2 – (Σ x)? 6 - 5859.26 – (153.8) 6 = Step 4: Substitute a and 6 in regression equation formula y = α + 6.α 9 0.396 + 0.106α

Sol lles ÿ = atba where a= 0.396 b = 0.106 that a car company Predict the revenue (y) of sold (x) 40 (10 thousand) cars. X=40 ŷ 0.396 + 0.10 6 *40 u 11 0.396 + 4.2246 4.636 = ł 4.6 one decimal) CS Scanned with CamScanner