# MATH221 Week 7 Homework -19 questions – 100% score – Perfect Solution – Instant Delivery

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Problem Statement

Question 1

Two variables have a positive non-linear correlation. Does the dependent variable increase or decrease as the independent variable increases?
• Dependent variable would remain the same
• Dependent variable increases
• Cannot determine from information given
• Dependent variable decreases

Question 2

What does the variable µ represent?
• The sample mean
• The population mean
• The population standard deviation
• The sample standard deviation

Question 3

A golfer wants to determine if the type of driver she uses each year can be used to predict the amount of improvement in her game. Which variable would be the response variable?
• The improvement in her game
• The number of holes she plays
• The rating of the golfer
• The type of driver

Question 4

Two variables have a negative linear correlation. Is the slope of the regression line between these two variables positive or negative?
• Negative. As one variable increases, so does the other
• Negative. As one variable increases, the other decreases
• Positive. As one variable increases, so does the other
• Positive. As one variable increases, the other decreases

Question 5

A value of the dependent variable that corresponds to the value of xi would be given the notation of:
• y1
• yi
• m
• b

Question 6

If there is a , or hat, above a variable, what does that mean?
• the value is the standard deviation
• the value is an outlier
• the value is an estimate
• the value is the mean

Question 7

Find the regression equation for the following data set
x 123 146 127 161 122 174 134 155
y 80 51 59 41 44 59 51 63
• 0.13x – 74.50
• cannot be determined
• 74.50x – 0.13
• -0.13x+74.50

Question 8

A data set whose original x values ranged from 41 through 78 was used to generate a regression equation of ŷ=5.3x – 21.9. Use the regression equation to predict the value of y when x=56.
• 318.7
• Meaningless result
• 274.9
• 1121.1

Question 9

A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use the regression equation to predict the value of y when x=119.
• -7.06
• 21.40
• 21.34
• Meaningless result

Question 10

Find the regression equation for the following data set
x 7 8 5 9 4 3 9 6 7 8
y 4 2 8 3 7 9 3 5 6 9
• 0.85x + 11.20
• 11.20x – 0.85
• -11.20x – 0.85
• -0.85x + 11.20

Question 11

A data set whose original x values ranged from 137 through 150 was used to general a regression equation of ŷ=-4.5x + 51. Use the regression equation to predict the value of y when x=150.
• 624.0
• Meaningless result
• -726.0
• -624.0

Question 12

If the linear correlation coefficient is 0.661, what is the value of the coefficient of determination?
• 0.437
• -0.437
• 0.661
• 1.322

Question 13

If the linear correlation coefficient is -0.654, what is the value of the coefficient of determination?
• -0.428
• 0.428
• 0.654
• 0.308

Question 14

If the coefficient of determination is 0.492, what percentage of the data about the regression line is explained?
• 70.1%
• 50.8%
• 24.2%
• 49.2%

Question 15

If the coefficient of determination is 0.394, what percentage of the data about the regression line is unexplained?
• 60.6%
• 66.0%
• 15.5%
• 39.4%

Question 16

If the independent variables explained less than 50% of the variation in the dependent variables, which of the following would be true?
• The coefficient of determination is above 0.5
• There are two independent variables
• The coefficient of determination is below 0.5
• There are two dependent variables

Question 17

The equation used to predict how tall a dog will be as an adult is ŷ=4.5 + 0.7×1 + 0.55×2, where x1 is the height of the mother and x2 is the height of the father. Use this equation to predict the height of a puppy whose mother is 40.3 inches tall and whose father is 45.9 inches tall.
• 53.46 inches
• 50.75 inches
• 57.96 inches
• 43.10 inches

Question 18

The equation used to predict how long it will take to receive a package through the mail is ŷ=0.5 + 0.02×1 + 0.85×2
days, where x1 is the distance to travel and x2 is the weight of the package. Use this equation to predict the how long it will take to receive a package that is 145 miles away and weighs 3.8 pounds.
• 123.8 days
• 16.1 days
• 74.4 days
• 6.6 days

Question 19

The equation used to predict how long a cold will last is ŷ=-1.8 + 0.09×1 + 3.2×2 – 1.9×3, where x1
is person’s temperature on the first day, x2 is number of people seen each day, and x3 is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 100.4 degrees, an average of 6 people seen each day, and 4 hours of sleep.
• 20.6 days
• 18.8 days
• 19.8 days
• 17.7 days

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