Question

An engineering student has designed a new cloths dryer. X: temperature setting in ∘F, Y: actual interior temperature during cycle ∘F. She has collected the following n=5 samples:

X | Y |

140 | 170 |

145 | 174 |

150 | 172 |

155 | 178 |

160 | 176 |

Find the correlation coefficient, r.

a.) 0.80

b.) 0.70

c.) 0.90

d.) 0.70

Following question 10 about the new cloths dryer (given the table):

What is the fitted simple linear regression equation?

In the answer choices, Y^ is representing the estimated Y.

a. Y^ =126 + 0.32X

b. Y^ =126 - 0.32X

c. Y^ =226 + 0.42X

d. Y^ =226 - 0.42X

Following question 10 about the new cloths dryer (given the table):

Suppose, we want to test the following hypothesis:

At α = -.05, what is the value of the test statistic?

Group of answer choices

a. 2.31

b. 3.31

c. 1.31

d. 4.41

Answer #1

The statistical software output for this problem is :

**a)** correlation coefficient, r = 0.80

**a. Y^ =126 + 0.32 X**

**a) T**he test statistic =
**2.31**

An instructor for a class collected data from one of her class
to investigate the relationship between X: study time (per week)
and Y: college GPA. She has fitted the simple linear regression
model as:
G P A = 2.652 + 0.04391 × S t u d y t i m e
What can you say about the slope β1?
a.) One unit change in study time will increase the GPA by
0.04391 unit.
b.) One unit change in study...

Bivariate Data & Probability
After completing the calculation by hand in Q1 you can use
Excel to check your answers before submitting. Q2 assesses your
general understanding of probability and linear associations using
Excel to analyse a large dataset.
Question 1
Covariance and Correlation
The table below shows a set of sample bivariate data. Calculate
the covariance and correlation coefficient by completing the below
table. Show all working.
X
Y
(X - )
(Y - )
(X - )(Y -...

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