Question

The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. Use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? Weight (lb) Highway (mpg) 2860 34 3045 33 3375 29 4070 25 4155 24 2210 39 3320 30 Which scatterplot below shows the data? OA. OB. OC. OD 407 400 40- Highway (mpg) Highway (mpg) Highway (mpg) 2011 2000 Weight (lb) 5000 20+ 2000 Weight (lb) 5000 20+ 2000 5000 Weight (lb) 20 ++ 2000 5000 Weight (lb) Is there a linear relationship between weight and highway mileage? O A. No, there appears to be no relationship B. Yes, as the weight increases the highway mileage increases. O C. Yes, as the weight increases the highway mileage decreases. OD. No, there appears to be a relationship, but it is not linear.

Answer 1

X :- Weight

Y :- Highway

ΣX = 23035
ΣY = 214
ΣX * Y = 682860
ΣX2 = 78577675
ΣY2 = 6708

Scatter Plot 45 40 35 30 25 20 15 10 Lл 0 2000 2500 3000 3500 4000 4500

Option B is correct

((N + ΣΧΥ) - ΣΧΣΥ)/((ΝΣ(Χ2) - (ΣΧ)2] (ΝΣ(Y2) – (ΣΥ)2)


7 ((7*682860)-23035*214)/((7* 78577675) - (23035)2)(7* 6708) - (214)2)

r = -0.996

There is strong but negative correlation between variables

Yes, as the weight increases the highway mileage decreases.