Two Way Tables
Correlation
Linear Regression
100
How many males like basketball?
15
100
Which letter in the calculator describes correlation coefficient?
r
100
Which letters from the calculator do you use when writing a linear regression equation?
a nd b
200
Finish the two way table:
M F Total
Can Swim 26 23 49
Can't Swim 4 27 31
Total 30 50 80
200
What are the two descriptions of correlation coefficient?
Strong or Weak
Negative or Positive
200
What is the format of the linear regression equation?
y = _____x + ______
a b
300
What percentage of chocolate lovers like soccer?
55% of chocolate lovers like soccer.
300
When is a correlation coefficient considered to be strong?
When it is close to 1.
300
What are the steps in the calculator to find the values to create a linear regression equation?
STAT --> Enter
Type the x-values in L1 and y-values in L2
STAT --> go to the right to CALC
Scroll down to 4:LinReg --> Enter
Scroll down to Calculate --> Enter
400
What percent of females drive sports cars?
25%
400
The results of a linear regression are shown below.
y = ax + b
a = −1.15785
b = 139.3171772
r = −0.896557832
r2 = 0.8038159461
How would you describe the correlation between x and y?
Strong and negative
400
Round the following a and b terms to the nearest hundredth:
a = 67.98542
b = -14.132123
a = 67.99
b = -14.13
500
There are 300 shapes. 3/4 of them are stars. Of the rhombuses, 60 are red. Of the stars, 80% are yellow. Complete the two-way table
60 45 105
15 180 195
75 225 300
500
Find the correlation coefficient of this data, rounded to the nearest hundredth. Describe the strength (weak/strong & negative/positive)
r = 0.92
Strong positive
500
Emma recently purchased a new car. She decided to keep track of how many gallons of gas she used on five of her business trips. The results are shown in the table below.
x y
150 7
200 10
400 19
600 29
1000 51
Write the linear regression equation for these data where miles driven is the independent variable. (Round all values to the nearest hundredth.)
y = 0.05x - 0.92