Equation of Line Using Linear Regression

Presentation

•

Mathematics

•

9th Grade

•

Hard

Joseph Anderson

FREE Resource

4 Slides • 10 Questions

Linear Regression

Why linear regression?

Use linear regression to predict the outcome of a progression using a given set of data.

Multiple Choice

Write the equation for the linear regression shown.

$y=ax+b$

$y=0.6x+0.1$

$y=0.72x+r$

$y=0.1x+0.6$

Multiple Choice

Write the equation for the linear regression shown.

$y=-5.11x+3.23$

$r=0.8$

$y=3.23x\ -\ 5.11$ $\$

$y=0.64x+0.8$

Example #2

Click on STAT
Click on Edit
Enter the data into L1 and L2
Click STAT, then right to CALC
Scroll down to LinReg(ax+b)
Click Enter, then Enter again

Example #3

Click on STAT
Click on Edit
Enter the data into L1 and L2
Click STAT, then right to CALC
Scroll down to LinReg(ax+b)
Click Enter, then Enter again

Multiple Choice

If x is temperature and y is coffee sales, use the following formula to determine the coffee sales on a 34° day.

y = -60x+6443

$4403

$4673

$8483

$6443

Multiple Choice

Write the equation for the table given

y = 1/3x

y = 3x

y = 1/2x

Multiple Choice

What is the line of best fit?

f(x)= 5x+1.82

cannot be determined

f(x)= 1.82x + 5.02

f(x)= 1.1x + 4.2

Multiple Choice

Using your linear regression, what is y when x is 30?

61.59

52.46

57.94

59.76

Multiple Choice

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

y = 1.5x + 12

y = 12x + 1.5

y = 0.67x - 8

y = -8x + 0.67

Multiple Choice

The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.

10 miles

617.5 miles

0.19 miles

500 miles

Multiple Choice

The linear regression equation is y = 61.93x - 1.79. According to the model, the slope can be interpreted as:

After 0 hours of driving, they went 61.93 miles.

They drove at a speed of 61.93 miles per hour.

They drove 61.93 miles total.

They drove 61.93 hours total.

Multiple Choice

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

y = 61.93x - 1.79

y = -1.79x + 61.93

y = 0.016x + 0.03

y = 0.03x + 0.016

Linear Regression

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