Interpret the slope and y-intercept of the least squares regression line
Question
A scientific study on gerbil population growth results in the data below.
x y
8 63
11 77
14 86
17 90
20 140
The least squares regression line modeling this data is given
by yˆ=13.3+5.567x. What is the intercept of the regression line? Round your
answer to one decimal place.
Answer 1:
Keep trying - mistakes can help us grow.
$$3
Answer 2:
Not quite - review the answer explanation to help get the next one.
$$17
Answer Explanation
Correct answers:
$13.3$13.3
The equation y=mx+b defines a line with a slope of m and a y-intercept of b. In
this case the intercept or the constant added to x is 13.3.
This study source was downloaded by 100000770861734 from CourseHero.com on 02-09-2022 09:48:04 GMT -06:00
https://www.coursehero.com/file/49103242/stat-week-8-questionsdocx/
, Question
True or False: The more mangoes you eat, the more rashes you get.
Well done! You got it right.
True
False
Answer Explanation
Correct answer:
False
Many things can cause an increase or decrease in rashes: diet, exercise, hormones,
medication, etc. There are too many other confounding variables that it can not be
determined that Mango's are the cause of a rash.
Understand the difference between correlation and causation
Question
Suppose that a large controlled experiment tests whether caffeine improves
reaction times. A very large number of randomly selected participants are
randomly given identical-seeming pills with varying doses of caffeine (including
none) and then given tests of reaction times under the same conditions. The
experiment finds a strong negative correlation between caffeine dose and reaction
time. (Note that lower reaction times are better.)
Identify what can be concluded based on this information.
Not quite right - check out the answer explanation.
This study source was downloaded by 100000770861734 from CourseHero.com on 02-09-2022 09:48:04 GMT -06:00
https://www.coursehero.com/file/49103242/stat-week-8-questionsdocx/
Question
A scientific study on gerbil population growth results in the data below.
x y
8 63
11 77
14 86
17 90
20 140
The least squares regression line modeling this data is given
by yˆ=13.3+5.567x. What is the intercept of the regression line? Round your
answer to one decimal place.
Answer 1:
Keep trying - mistakes can help us grow.
$$3
Answer 2:
Not quite - review the answer explanation to help get the next one.
$$17
Answer Explanation
Correct answers:
$13.3$13.3
The equation y=mx+b defines a line with a slope of m and a y-intercept of b. In
this case the intercept or the constant added to x is 13.3.
This study source was downloaded by 100000770861734 from CourseHero.com on 02-09-2022 09:48:04 GMT -06:00
https://www.coursehero.com/file/49103242/stat-week-8-questionsdocx/
, Question
True or False: The more mangoes you eat, the more rashes you get.
Well done! You got it right.
True
False
Answer Explanation
Correct answer:
False
Many things can cause an increase or decrease in rashes: diet, exercise, hormones,
medication, etc. There are too many other confounding variables that it can not be
determined that Mango's are the cause of a rash.
Understand the difference between correlation and causation
Question
Suppose that a large controlled experiment tests whether caffeine improves
reaction times. A very large number of randomly selected participants are
randomly given identical-seeming pills with varying doses of caffeine (including
none) and then given tests of reaction times under the same conditions. The
experiment finds a strong negative correlation between caffeine dose and reaction
time. (Note that lower reaction times are better.)
Identify what can be concluded based on this information.
Not quite right - check out the answer explanation.
This study source was downloaded by 100000770861734 from CourseHero.com on 02-09-2022 09:48:04 GMT -06:00
https://www.coursehero.com/file/49103242/stat-week-8-questionsdocx/
