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Consumer Reports provided extensive testing and ratings for 24 treadmills. An overallscore, based primarily on ease of use, ergonomics, exercise range, and quality, was devel-oped for each treadmill tested. In general, a higher overall score indicates better perfor-mance. The following data show the price, the quality rating, and overall score for the24 treadmills (Consumer Reports, February 2006$)$ .$\begin{array}{l}{\text { a. Use these data to develop an estimated regression equation that could be used to esti- }} \\ {\text { mate the overall score given the price. }} \\ {\text { b. Use } a=.05 \text { to test for overall significance. }}\end{array}$$\begin{array}{l}{\text { c. To incorporate the effect of quality, a categonical variable with three levels, we used two }} \\ {\text { dummy variables, Quality-E and Quality-VG. Each variable is coded } 0 \text { or } 1 \text { as follows. }}\end{array}$$$Quality-E =\left\{\begin{array}{l}{1 \text { if quality rating is excellent }} \\ {0 \text { otherwise }}\end{array}\right.$$$$Quality-VG =\left\{\begin{array}{l}{1 \text { if quality rating is very good }} \\ {0 \text { otherwise }}\end{array}\right.$$Develop an estimated regression equation that could be used to estimate the overallscore given the price and the quality rating.$\begin{array}{l}{\text { d. For the estimated regression equation developed in part (c), test for overall signifi- }} \\ {\text { cance using } \alpha=.10 .}\end{array}$$\begin{array}{l}{\text { e. For the estimated regression equation developed in part (c), use the } t \text { test to determine }} \\ {\text { the significance of each independent variable. Use } \alpha=.10 \text { . }}\end{array}$$\begin{array}{l}{\text { f. Predict the overall score for a treadmill with a price of } \$ 2000 \text { and a good quality rating. }} \\ {\text { How much would the prediction change if the quality rating were very good? Explain. }}\end{array}$

a) 16.24b) good fitc) $\hat{y}=51.6+0.000341 x_{1}-1.17 x_{2}-9.09 x_{3}$d) 14.79

Intro Stats / AP Statistics

Chapter 13

Multiple Regression

Descriptive Statistics

Linear Regression and Correlation

Piedmont College

Cairn University

Idaho State University

Lectures

0:00

00:38

Treadmills. Find the slope…

06:34

Consumer product testing g…

00:59

-Grade of Treadmills. A tr…

02:20

What is the efficiency of …

09:40

Consumer Reports provided …

01:15

The 22 students in a healt…

02:00

Fitness Machine A fitness …

03:12

A preprogrammed workout on…

03:23

01:44

During a workout, a target…

01:18

Aerobic Exercise. The form…

03:03

FITNESS Find the range, me…

05:41

MEDICINE For Exercises 19-…

02:49

In June 2007, Consumer Rep…

01:50

In a common test for cardi…

00:28

A jogger on a pre-set trea…

03:07

07:21

A 70-kg person walks at a …

00:23

Find the slope of the trea…

00:32

Exercise On a treadmill, y…

in this problem. This slant represents the jogging surface or the the walking surface off the treadmill, and we want to find the slope. And so we know the slope will be the rise over run and the rises six inches over a run of 50 inches, and we can reduce that to 3 25th We also want to express that as a percent, and so that would be 12%.

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Treadmills. Find the slope of the jogging surface of the treadmill for a hei…

Consumer product testing groups commonly supply ratings of all sorts of prod…

-Grade of Treadmills. A treadmill is $5 \mathrm{ft}$ long and is =set at an …

What is the efficiency of a subject on a treadmill who puts out work at the …

Consumer Reports provided overall customer satisfaction scores for AT\&T…

The 22 students in a health class conducted anexperiment in which they e…

Fitness Machine A fitness center bought a new exercise machine called the Mo…

A preprogrammed workout on a treadmill consists of intervals walking at vari…

During a workout, a target heart rate $y$ in beats per minute is represented…

Aerobic Exercise. The formula $T=-\frac{3}{4} a+165$ can be used to determin…

FITNESS Find the range, median, upper quartile, lower quartile, interquartil…

MEDICINE For Exercises 19-21, use the following information. A doctor is usi…

In June 2007, Consumer Reports examined top-loading and front-loading washin…

In a common test for cardiac function (the stress test), the patient walks o…

A jogger on a pre-set treadmill burns 3.2 calories per minute. How long must…

In a common test for cardiac function (the "stress test"), the pat…

A 70-kg person walks at a steady pace of 5.0 km/h on a treadmill at a 5.0% g…

Find the slope of the treadmill.(FIGURE CAN'T COPY).

Exercise On a treadmill, you burn il Cal in $1 \mathrm{min}$, 22 Cal in $2 \…

06:25

An important application of regression analysis in accounting is in the esti…

08:57

The data from exercise I follow.$$\frac{x_{i}|1 \quad 2 \quad 3 \quad 4 …

05:43

The data from exercise 2 follow.$$\begin{array}{r|ccccc}{x_{i}} &…

05:45

Out-of-state tuition and fees at the top graduate schools of business can be…

01:46

In exercise $20,$ data on $x=$ price $(\mathrm{S})$ and $y=$ overall score f…

01:07

A more accurate approximation to $E\left[h\left(X_{1}, \ldots, X_{n}\right)\…

12:53

In exercise 18 the data on grade point average and monthly salary were as fo…

20:24

Refer to exercise $21,$ where data on production volume and cost were used t…

11:04

The data from exercise I follow.$$\frac{x_{i}}{y_{i}} \left| \begin{…

06:03

The data from exercise 3 follow.$$\frac{x_{i}}{y_{i}} \left| \begin{…