Question

*PLEASE HELP* *SPAM = REPORT* *100 POINTS* *ONLY ANSWER IF YOU ARE SURE PLEASE!

The scatter plot below shows the relationship between the age of a house and the number of days it takes for the house to be sold after being listed for sale.
The equation y = 0.95x + 17.56 describes the line of best fit for the scatter plot. Based on the equation, which value is most likely the number of days it takes for a 60-year-old house to be sold after being listed for sale?
A. 45
B. 70
C. 75
D. 83

Answer 1

Put 60 as x and get no of days .

• y=0.95x+17.56
• y=0.95(60)+17.56
• y=57+17.56
• y=74.56
• y=75days

Option C

Answer 2

C. 75

Explanation:

The scatter plot shows a positive correlation since the y-value increases as the x-value increases.

Given equation of the line of best fit:

y = 0.95x + 17.56

To estimate the number of days it takes for a 60-year-old house to be sold, input x = 60 into the given equation:

⇒ y = 0.95(60) + 17.56

⇒ y = 57 + 17.56

⇒ y = 74.56

⇒ y = 75 (nearest whole day)

Therefore, according to the line of best fit, an estimate of the number of days it will take for a 60-year-old house to be sold is 75 days.

Extrapolation

For this problem, we have used the line of best fit (regression line) to predict a value of that is outside the range of the original data. When using values of x outside the range to predict corresponding values of y, this is called extrapolation. These predictions can be unreliable because there is no evidence that the relationship described by the regression line is true for all values of x. Therefore, caution should be applied in these cases.