question archive Cynthia has measured the weight and miles per gallon of four different cars, listed the data in a table, and graphed the results on a scatterplot
Cynthia has measured the weight and miles per gallon of four different cars, listed the data in a table, and graphed the results on a scatterplot
Subject:StatisticsPrice:2.87 Bought7
Cynthia has measured the weight and miles per gallon of four different cars, listed the data in a table, and graphed the results on a scatterplot. She noticed the points fall closely on a line.
Using the data values that Cynthia collected, select the correct slope and y-intercept.
Weight in hundreds of pound
5
10
12
15
miles per gallon(mpg)
32
27
25
22
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The answer is given below:
Step-by-step explanation
Sum of X = 42
Sum of Y = 106
Mean X = 10.5
Mean Y = 26.5
Sum of squares (SSX) = 53
Sum of products (SP) = -53
Regression Equation = ? = bX + a
b = SP/SSX = -53/53 = -1
a = MY - bMX = 26.5 - (-1*10.5) = 37
? = -1X + 37
Choice (b) Slope= -1
y intercept = 37
