Exercise 61 2 For each of the following scenarios: i State the value of the gradient of the regression line and interpret its meaning. ii State the value of the y-intercept of the regression line and interpret its meaning if relevant, giving a reason if there is no meaning. A number of students were asked for their average grade at the end of the last year of high school, x, and their average grade at the end of their first year at university, y. On calculating the regression line for the resulting data, the result was y=-2.50 +1.04x. b It is found that the relationship between the height in centimetres, x, and the weight in kilograms, y, of a group of 15-year-old students can be modelled with the regression line y=-70+ 0.87x. c A car salesman wants to study the relationship between the time in years after a particular type of car is bought, x, and the value of the car in US$. y. The regression line is found to be y=-250x + 9000.

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Unit 6.3 Interpreting the regressi X +
resentation/d/1G44xEZKbfMP9N7nRAy31pKPwtk6yR2x-eDlclspS9v4/edit#slide-id.g11787709621_0_12
Applications | RapidIdentity
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edit was made on February 28, 2022 by Phillip Tewers
Exercise 61
2 For each of the following scenarios:
i
Q Search
State the value of the gradient of the
regression line and interpret its
meaning.
ii State the value of the y-intercept of
the regression line and interpret its
meaning if relevant, giving a reason if
there is no meaning.
a
Op
M
N
2200 20
A¹ G
A-
a
A number of students were asked for
their average grade at the end of the
last year of high school, x, and their
average grade at the end of their first
year at university, y. On calculating the
regression line for the resulting data, the
result was y=-2.50 +1.04.x.
Slideshow
b. It is found that the relationship between
the height in centimetres, x, and the
weight in kilograms, y, of a group of
15-year-old students can be modelled
with the regression line y=-70 + 0.87x.
c A car salesman wants to study the
relationship between the time in years
after a particular type of car is bought, x,
and the value of the car in US$, y. The
regression line is found to be
y=-250x + 9000.
。
7
I
{
Transcribed Image Text:Unit 6.3 Interpreting the regressi X + resentation/d/1G44xEZKbfMP9N7nRAy31pKPwtk6yR2x-eDlclspS9v4/edit#slide-id.g11787709621_0_12 Applications | RapidIdentity X ssion line 40 edit was made on February 28, 2022 by Phillip Tewers Exercise 61 2 For each of the following scenarios: i Q Search State the value of the gradient of the regression line and interpret its meaning. ii State the value of the y-intercept of the regression line and interpret its meaning if relevant, giving a reason if there is no meaning. a Op M N 2200 20 A¹ G A- a A number of students were asked for their average grade at the end of the last year of high school, x, and their average grade at the end of their first year at university, y. On calculating the regression line for the resulting data, the result was y=-2.50 +1.04.x. Slideshow b. It is found that the relationship between the height in centimetres, x, and the weight in kilograms, y, of a group of 15-year-old students can be modelled with the regression line y=-70 + 0.87x. c A car salesman wants to study the relationship between the time in years after a particular type of car is bought, x, and the value of the car in US$, y. The regression line is found to be y=-250x + 9000. 。 7 I {
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