Harper MTH165 Homework Section 10.3 Latest 2020 MAY

MTH165 ELEMENTARY STATISTICS

Homework Section 10.3

In this section you learned how to perform a hypothesis test to test for a linear relation.

•             What is the symbol for the sample linear correlation coefficient?   _____

•             What is the symbol for the population linear correlation coefficient?   _____

•             What input screen do you use on the TI84 to test for a linear relation? 

Fill in the following as you work through your given problems in MyOpenMath

 

1.Test at the 10___% level for a ____positive_______ correlation between __ ____________ and ___________ _______

P:

p = the mean length of metacarpal of 20 randomly selected sets of skeletal remains.

H:

H0:                       0

HA:                    0

A: 

•             There are many assumptions that should be checked before doing linear regression.

•             In this course we are just going to check that the scatterplot of the data is roughly linear with no outliers.

•             Which of the following is the correct scatterplot for the given data?

N:

The conditions are met to use a linear regression T - Test

T:

r = 0.8259

t = 6.22

O:

P value = 0.0000

M:

Since the p-value <= 0.10, we reject H0

S:

There      significant evidence to conclude there is a              relation between        and        for           with a length of metacarpal between $38 cm and $52 cm.

2.  Test at the _5__% level for a _____negative______ correlation between ___weight___________ and ______________mileage of cars.____

P:

p = a randomly selected car

 

H:

H0:                       0

    HA:                    0

A: 

N:

The conditions are met to use a linear regression T - Test

T:

r = -0.9225

t = -9.85

O:

P – value = 0.0000

M:

Since the p-value          0.05, we       

S:

There      significant evidence to conclude there is a             relation between        and        for            with a weight between 2250 pounds and 5500 pounds.