# Statistics

### QuestionÂ 1

#### Question text

The line described by aÂ regression equationÂ attempts to:

### QuestionÂ 2

#### Question text

A regression analysis isÂ inappropriateÂ when:

### QuestionÂ 3

#### Question text

If theÂ slopeÂ of a regression line is equal to 2.00, this implies:

*-axis theÂ*

*x**-axis value is halved.*

*y**-axis there is an increase of 2.00 on theÂ*

*x**-axis.*

*y**-axis there is an increase of 2.00 on theÂ*

*x**-axis.*

*y*### QuestionÂ 4

#### Question text

When testing a linear relation, what are the appropriateÂ null and alternate hypotheses?

*Î±*Â = 0,Â Â H1:Â

*Î±*Â â‰ 0

### QuestionÂ 5

#### Question text

Match anyÂ trendsÂ in the scatter plots with the most appropriate descriptions:

Answer 1Choose…Strong negative relationshipWeak negative relationshipWeak positive relationshipStrong positive relationshipNo relationship | |

Answer 2Choose…Strong negative relationshipWeak negative relationshipWeak positive relationshipStrong positive relationshipNo relationship | |

Answer 3Choose…Strong negative relationshipWeak negative relationshipWeak positive relationshipStrong positive relationshipNo relationship |

### QuestionÂ 6

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For the plots above regarding a regression of the percentage of potato chips broken on the percentage of potato content, are all theÂ assumptionsÂ met? Select the best answer.

### QuestionÂ 7

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The regression goodness-of-fit,Â r2, tells us:

### QuestionÂ 8

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Which of the following hypotheses could be tested using aÂ chi-square goodness-of-fit test?

### QuestionÂ 9

#### Question text

In a chi-square test of independence, theÂ degrees of freedomÂ for a table with 9 rows and 8 columns will be:

### QuestionÂ 10

#### Question text

Predicting Percentage of Chips Broken:

Regression Analysis: %Broken chips versus %Potato

The regression equation is

%Broken chips =Â 7.93 – 0.151 %Potato

Predictor Â Â Coef Â SE Coef Â Â T Â Â P

Constant Â Â 7.9301 Â 0.5225 15.18 0.000

%Potato Â -0.15084 Â 0.05912 _____ 0.012

S = 2.03470 R-Sq = 6.2% R-Sq(adj) = 5.3%

The Minitab output above is from a regression of the percentage of potato chips broken versus the percentage of potato content in those chips. Use the output to answer the following questions.

- What is the value of a?Â Â (1 dp) Â Â Answer
- What is the value of b?Â Â (4 dp) Â Â Answer
- What is the se(b)?Â Â (4dp) Â Â Answer
- Calculate the absolute value of the test statistic for b.Â Â (2dp) Â Â Answer
- What is the goodness of fitÂ (as a percentage)?Â (1 dp) Â Â Answer
- What is the correlation?Â Â (2 dp)Â Â Â Answer
- Would youÂ (A)Â reject orÂ (B)Â not reject the hypothesis thatÂ Â Â ?Â Â Â Answer

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**Category**: Mathematics