Suppose that a researcher selects a random sample of 200 columnists from a large newspaper company to study the factors affecting the productivity of these columnists (measured by the number of words they write in a day). She estimates the following regression equation: W=648.12-0.84 S+0.11 Inc+ 1.76 Exp+0.84 HS, where W denotes the number of words they write in a day, S denotes the number of minutes they spend browsing social networking sites in a day, Inc denotes the monthly salary they earn, Exp denotes the number of years of experience they have, and HS denotes their daily overall health measured by a health score on a scale of 1 to 100 which includes various health indicators. The researcher hypothesizes that after controlling for the social media browsing time and the overall health, neither income nor experience have a significant effect on the productivity of the columnists, i.e., B, and Bz are jointly zero. The researcher calculates the test statistics for individually testing the null hypotheses B, = 0 and B =0 to be 2.55 and 2.87, respectively. Suppose that the correlation between these test statistics is found to be 0.72. 4 The F-statistic associated with the above test will be (Round your answer to two decimal places.) 6 the null hypothesis. At the 1% significance level, we will 014 fail to reject reject

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Suppose that a researcher selects a random sample of 200 columnists from a large newspaper company to study the factors affecting the productivity of these columnists
(measured by the number of words they write in a day). She estimates the following regression equation:
W=648.12-0.84 S+0.11 /nc + 1.76 Exp + 0.84 HS,
where W denotes the number of words they write in a day, S denotes the number of minutes they spend browsing social networking sites in a day, Inc denotes the monthly
salary they earn, Exp denotes the number of years of experience they have, and HS denotes their daily overall health measured by a health score on a scale of 1 to 100
which includes various health indicators.
The researcher hypothesizes that after controlling for the social media browsing time and the overall health, neither income nor experience have a significant effect on the
productivity of the columnists, ie, , and B, are jointly zero.
The researcher calculates the test statistics for individually testing the null hypotheses B, = 0 and B, =0 to be 2.55 and 2.87, respectively. Suppose that the correlation
%3D
between these test statistics is found to be 0.72.
14
The F-statistic associated with the above test will be
(Round your answer to two decimal places.)
the null hypothesis.
At the 1% significance level, we will
019
fail to reject
reject
Enter your answer in the answer box.
DOLL
Transcribed Image Text:Suppose that a researcher selects a random sample of 200 columnists from a large newspaper company to study the factors affecting the productivity of these columnists (measured by the number of words they write in a day). She estimates the following regression equation: W=648.12-0.84 S+0.11 /nc + 1.76 Exp + 0.84 HS, where W denotes the number of words they write in a day, S denotes the number of minutes they spend browsing social networking sites in a day, Inc denotes the monthly salary they earn, Exp denotes the number of years of experience they have, and HS denotes their daily overall health measured by a health score on a scale of 1 to 100 which includes various health indicators. The researcher hypothesizes that after controlling for the social media browsing time and the overall health, neither income nor experience have a significant effect on the productivity of the columnists, ie, , and B, are jointly zero. The researcher calculates the test statistics for individually testing the null hypotheses B, = 0 and B, =0 to be 2.55 and 2.87, respectively. Suppose that the correlation %3D between these test statistics is found to be 0.72. 14 The F-statistic associated with the above test will be (Round your answer to two decimal places.) the null hypothesis. At the 1% significance level, we will 019 fail to reject reject Enter your answer in the answer box. DOLL
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