A psychologist collected data on a person's age and the number of hours per week that person spent on the internet. The data are shown in the following table. Age (years) 73 66 63 56 49 46 38 31 25 21 14 Time (hours) 0 2 4 6 8 10 12 14 16 18 20 (a) Find the equation of a linear regression line for the data where age is the independent variable, x, and time is the dependent variable. (Round your numerical answers to three decimal places.) ŷ = (b) Using the equation from part (a), estimate the number of hours a person 30 years old spends on the internet. (Round your answer to the nearest hour.) (c) Find the linear correlation coefficient. (Round your answer to the nearest four decimal places.) r = (d) Based on the value of the linear correlation coefficient, would you conclude, at the |r| > 0.9 level, that the data can be reasonably modeled by a linear function?
A psychologist collected data on a person's age and the number of hours per week that person spent on the internet. The data are shown in the following table. Age (years) 73 66 63 56 49 46 38 31 25 21 14 Time (hours) 0 2 4 6 8 10 12 14 16 18 20 (a) Find the equation of a linear regression line for the data where age is the independent variable, x, and time is the dependent variable. (Round your numerical answers to three decimal places.) ŷ = (b) Using the equation from part (a), estimate the number of hours a person 30 years old spends on the internet. (Round your answer to the nearest hour.) (c) Find the linear correlation coefficient. (Round your answer to the nearest four decimal places.) r = (d) Based on the value of the linear correlation coefficient, would you conclude, at the |r| > 0.9 level, that the data can be reasonably modeled by a linear function?
A psychologist collected data on a person's age and the number of hours per week that person spent on the internet. The data are shown in the following table. Age (years) 73 66 63 56 49 46 38 31 25 21 14 Time (hours) 0 2 4 6 8 10 12 14 16 18 20 (a) Find the equation of a linear regression line for the data where age is the independent variable, x, and time is the dependent variable. (Round your numerical answers to three decimal places.) ŷ = (b) Using the equation from part (a), estimate the number of hours a person 30 years old spends on the internet. (Round your answer to the nearest hour.) (c) Find the linear correlation coefficient. (Round your answer to the nearest four decimal places.) r = (d) Based on the value of the linear correlation coefficient, would you conclude, at the |r| > 0.9 level, that the data can be reasonably modeled by a linear function?
A psychologist collected data on a person's age and the number of hours per week that person spent on the internet. The data are shown in the following table.
Age (years)
73
66
63
56
49
46
38
31
25
21
14
Time (hours)
0
2
4
6
8
10
12
14
16
18
20
(a)
Find the equation of a linear regression line for the data where age is the independent variable, x, and time is the dependent variable. (Round your numerical answers to three decimal places.)
ŷ =
(b)
Using the equation from part (a), estimate the number of hours a person 30 years old spends on the internet. (Round your answer to the nearest hour.)
(c)
Find the linear correlation coefficient. (Round your answer to the nearest four decimal places.)
r =
(d)
Based on the value of the linear correlation coefficient, would you conclude, at the |r| > 0.9 level, that the data can be reasonably modeled by a linear function?
Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.
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