Question

The following data was collected to explore how a student's age and GPA affect the number of parking tickets they receive in a given year. The dependent variable is the number of parking tickets, the first independent variable (x1x1) is the student's age, and the second independent variable (x2x2) is the student's GPA.

Age | GPA | Number of Tickets |
---|---|---|

17 | 2 | 1 |

17 | 2 | 2 |

18 | 2 | 4 |

20 | 2 | 5 |

20 | 3 | 5 |

22 | 3 | 6 |

22 | 3 | 6 |

23 | 3 | 7 |

25 | 4 | 7 |

Step 2 of 2 :

Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.010.01 level of significance. If the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate that there is not enough evidence to show that the relationship is statistically significant.

Selecting a checkbox will replace the entered answer value(s) with the checkbox value. If the checkbox is not selected, the entered answer is used.

yˆ=y^= ________+__________x1+ __________x2 or There is not enough evidence.

Answer #1

The statistical software output for this problem is;

Since p - value is less than 0.10, the equation is significant. Hence,

Regression equation will be:

= -11.9156 + 0.9616 x1 + (-1.1125) x2

The following data was collected to explore how a student's age
and GPA affect the number of parking tickets they receive in a
given year. The dependent variable is the number of parking
tickets, the first independent variable (x1x1) is the student's
age, and the second independent variable (x2x2) is the student's
GPA.
Effects on Number of Parking Tickets
Age
GPA
Number of Tickets
23
44
99
23
44
88
22
44
66
20
44
55
19
33
55
19...

The following data was collected to explore how the average
number of hours a student studies per night and the student's GPA
affect their ACT score. The dependent variable is the ACT score,
the first independent variable (x1x1) is the number of hours spent
studying, and the second independent variable (x2x2) is the
student's GPA.
Effects on ACT Scores
Study Hours
GPA
ACT Score
00
22
1616
33
22
2121
55
33
2323
55
44
2323
66
44
2424
Copy...

The following data was collected to explore how the average
number of hours a student studies per night and the student's GPA
affect their ACT score. The dependent variable is the ACT score,
the first independent variable (x1) is the number of hours spent
studying, and the second independent variable (x2) is the student's
GPA. Effects on ACT Scores
Study Hours GPA ACT Score
4 3 31
4 3 30
3 3 18
2 2 17
2 2 17
Step...

The following data was collected to explore how the average
number of hours a student studies per night and the student's GPA
affect their ACT score. The dependent variable is the ACT score,
the first independent variable (x1) is the number of hours spent
studying, and the second independent variable (x2) is the student's
GPA.
Effects on ACT Scores
Study Hours
GPA
ACT Score
1
2
17
2
3
18
3
4
20
5
4
31
5
4
31
Step...

The following data was collected to explore how the number of
square feet in a house, the number of bedrooms, and the age of the
house affect the selling price of the house. The dependent variable
is the selling price of the house, the first independent variable
(x1x1) is the square footage, the second independent variable
(x2x2) is the number of bedrooms, and the third independent
variable (x3x3) is the age of the house.
Effects on Selling Price of Houses...

The following data was collected to explore how the average
number of hours a student studies per night and the student's GPA
affect their ACT score. The dependent variable is the ACT score,
the first independent variable (x1) is the number of hours spent
studying, and the second independent variable (x2) is the student's
GPA.
Study hours
GPA
ACT score
0
2
17
1
2
19
5
2
28
5
3
29
6
4
31
Find the p-value for the...

The table below gives the number of parking tickets received in
one semester and the GPA for five randomly selected college
students who drive to campus. Using this data, consider the
equation of the regression line, yˆ=b0+b1x, for predicting the GPA
of a college student who drives to campus based on the number of
parking tickets they receive in one semester. Keep in mind, the
correlation coefficient may or may not be statistically significant
for the data given. Remember, in...

The following table was generated from the sample data of 10
college students regarding the number of parking tickets the
student receives in a semester, the student's age, and the
student's GPA. The dependent variable is the student's GPA, the
first independent variable (x1) is the number of parking tickets,
and the second independent variable (x2) is the student's age.
Coefficients Standard Error t-Stat p-value Intercept −8.593245
1.831876 −4.690952 0.005381 Number of Parking Tickets −0.023715
0.045205 −0.524623 0.622265 Student's Age...

The table below gives the number of parking tickets received in
one semester and the GPA for five randomly selected college
students who drive to campus. Using this data, consider the
equation of the regression line, yˆ=b0+b1x, for predicting the GPA
of a college student who drives to campus based on the number of
parking tickets they receive in one semester. Keep in mind, the
correlation coefficient may or may not be statistically significant
for the data given. Remember, in...

The following data was collected to explore how the average
number of hours a student studies per night and the student's GPA
affect their ACT score. The dependent variable is the ACT score,
the first independent variable (x1) is the number of
hours spent studying, and the second independent variable
(x2) is the student's GPA.
ACT Score Study Data
Study Hours GPA ACT Score 1 2 19.91 1 2 19.69 2 2 25.52 2 3 29.67 2
4 29.77
A...

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