Question

In: Statistics and Probability

The estimate y value found in the previous question is _____

x 42 38 44 25 21 42 35 51 33
y 21 25 22 28 30 27 21 13 21

1.)Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). Write out the least-squares line y=a+bx

2.)Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). The estimate y value found in the previous question is _____ (answers are either: an extrapolation, an interpolation, an error, or a residual)

Solutions

Expert Solution

1. y = 38.2620 - 0.4120*x

2. an interpolation

0.587
r   -0.766
Std. Error   3.494
n   9
k   1
Dep. Var. y
ANOVA table
Source SS   df   MS F p-value
Regression 121.4356 1   121.4356 9.95 .0161
Residual 85.4533 7   12.2076
Total 206.8889 8  
Regression output confidence interval
variables coefficients std. error    t (df=7) p-value 95% lower 95% upper
Intercept 38.2620
x -0.4120 0.1306 -3.154 .0161 -0.7208 -0.1031

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