Question

4) The regression equation predicting the average weight of a male age 18=24 (y) based on his height (x) is giben by y= 172.63+4.842x. Describe the correlation between height and weight based on the slop of the regression line.

a) positive correlation since the magnitude of the slope is large relative to the intercept.

b) negative correlation since the magnitude of the slope is small relative to the intercept.

c) positive correlation since the slope is positive. d) positive correlation since the magnitude of the slope is large relative to the intercept.

5) The regression equation predicting the average weight of a male age 18=24 (y) based on his height (x) is giben by y= 172.63+4.842x. What is the pest prediction for the weight of a male age 18-24 who is 70 inches tall? round your answer to the nearest pound.

a) 173

b) 339

c) 166

d) 70

6) The regression equation predicting the average weight of a male age 18=24 (y) based on his height (x) is giben by y= 172.63+4.842x. Interpret the slope of the regression line.

a) For every unit increase in weight, the predicted hight decrease by 4.842 pounds.

b) For every unite increase in height, the predicted weight decrease b 4.842 pounds.

c) For every unit in weight, the predicted height increase by 4.842 pounds.

d) for every unit increase in height, the predicted weight increases by 4.842 pounds.

7) A regression line for predicting Internet usage (%) of 39 countries in y=3.16 + 1.55x, where x is the pre capita GDP, in thousand of dollars , and y is internate usage. What is the risidual for country with a per capita of $28,000 and actual Internet use of 38 percent?

a) 5.4

b)-1.79

c) -5.4

d) 1.79

Answer #1

4) Answer: c) positive correlation since the slope is positive.

--------

5) Regression equation :

y= 172.63 + 4.842x.

Prediction weight of a male age 18-24 who is 70 inches tall

y= 172.63 + 4.842*70 = 511.57

Note: This is the correct answer but it is not given in options.

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6)

d) for every unit increase in height, the predicted weight increases by 4.842 pounds.

-----

7) Regression equation:

y = 3.16 + 1.55x,

Predicted value of y at x = 28

ŷ = 3.16 + (1.55) * 28 = 46.56

Residual = y - ŷ = 38 - 46.56 = -8.56

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If any doubt ask me in comments.

60. If we have a regression
line predicting the amount of improvement in your performance as a
function of the amount of tutoring you receive, an intercept of 12
would mean that
a) you need to have 12 hours of
tutoring to get an A.
b) if you don’t have any tutoring, the
best you can do is a grade of 12.
c) even without tutoring you will
improve.
d) tutoring helps.
A significant slope means that
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71114,711
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How is a residual calculated in a regression model? i.e. what is
the meaning of a residual?
a)The difference between the actual value, y, and the fitted
value, y-hat
b)The difference between the fitted value, y-hat, and the mean,
y-bar
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PLEASE FILL IN THE BLANKS WITH THE PROPER TERM! THANKS
Key Terms
----------------------------------------------------------------------------------------------------------------------------
Positive relationship --- Occurs in so far as pairs of
observations tend to occupy similar relative positions in their
respective distribution.
Negative relationship --- Occurs in so far as pairs of
observations tend to occupy dissimilar relative positions in their
respective distribution.
Scatterplot --- a graph containing a cluster of dots
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Person correlation coefficient --- A number between –1
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mutually
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c.
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